# Calculus Optimization Problems And Solutions Pdf

How to Solve Optimization Problems in Calculus Matheno. 2/19/2018 · Here is a set of practice problems to accompany the Optimization section of the Applications of Derivatives chapter of the notes for Paul Dawkins Calculus I course at Lamar University., 4 Solutions to Linear Programming Problems 13 examples of constrained optimization problems. We will also talk brieﬂy about ways our methods can be applied to real-world problems. 1.3 Representation of constraints We may wish to impose a constraint of the form g(x) ≤b. This can be turned into.

### How to Solve Optimization Problems in Calculus Matheno

Calculus I Optimization (Practice Problems). Calculus I or needing a refresher in some of the early topics in calculus. I’ve tried to make these notes as self contained as possible and so all the information needed to Optimization Problems – This is the second major application of derivatives in this chapter. In this section we will look at optimizing a function, possible, AP CALCULUS Name_____ Date_____ Period____ ©a l2X0r1 J4w TK SuOtEac GS0oMfEt zw VaWr4e f 7LzLIC D.e 4 yA zl ul h lr xiag YhstqsU Sr7eAs betr xv Re4d o.5 Optimization Problems Practice Solve each optimization problem. 1) A company has started selling a ….

1/5/2013 · This tutorial demonstrates the solutions to 5 typical optimization problems using the first derivative to identify relative max or min values for a problem. Optimization Problems in Calculus The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative. Many students find these problems intimidating because they are "word" problems, and because there does not appear to be a pattern to these problems.

optimization problems calculus pdf Use of differential calculus to solve certain types of optimization.Crop Yield. calculus optimization problems and solutions pdf Optimal Production of a Pharmaceutical. Mahaffy, mahaffymath.sdsu.edu. optimization problems calculus triangle The chapter headings refer to Calculus, Fifth Edition by Hughes-Hallett calculus optimization problems and solutions Books? Now, you will be happy that at this time calculus optimization problems and solutions PDF is available at our online library. With our complete resources, you could find calculus optimization problems and solutions PDF or just found any kind of Books for your readings everyday. We have made it

level, analytical skills approaching Calculus. Students at the Pre-Calculus level should feel comfortable. Talented students in Algebra 1 can certainly give it a shot. •Last two units: Calculus required –know how to optimization problems. Mathematical Optimization in the Calculus II Practice Problems 1: Answers 1. Solve for x: a) 6x 362 x Answer. Since 36 62, the equation becomes 6x 62 2 x, so we must have x 2 2 x which has the solution x 4 3. b) ln3 x 5 Answer. If we exponentiate both sides we get x 35 243. c) ln2 x 1 ln2 x 1 ln2 8 Answer.

The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative. Many students find these problems intimidating because they are "word" problems, and because there does not appear to be a pattern to these problems. 9/9/2018 · Problem Solving > Optimization Problems. Optimization problems in calculus often involve the determination of the “optimal” (meaning, the best) value of a quantity. For example, we might want to know: The biggest area that a piece of rope could be tied around. How high a ball could go before it falls back to the ground.

9/9/2018 · Problem Solving > Optimization Problems. Optimization problems in calculus often involve the determination of the “optimal” (meaning, the best) value of a quantity. For example, we might want to know: The biggest area that a piece of rope could be tied around. How high a ball could go before it falls back to the ground. Problems and Solutions in Optimization by Willi-Hans Steeb International School for Scienti c Computing at University of Johannesburg, South Africa Yorick Hardy Department of Mathematical Sciences at University of South Africa George Dori Anescu email: george.anescu@gmail.com

About This Quiz & Worksheet. This quiz and attached worksheet will help to gauge your understanding of optimization problems in calculus. You'll be tested on the rules of calculus and get some About This Quiz & Worksheet. This quiz and attached worksheet will help to gauge your understanding of optimization problems in calculus. You'll be tested on the rules of calculus and get some

Constrained Optimization with Calculus • Background • Three Big Problems • Setup and Vocabulary. Background Information In unit 3, you learned about linear programming, in which all constraints and the objective function are linear equations. However, frequently situations arise where the About This Quiz & Worksheet. This quiz and attached worksheet will help to gauge your understanding of optimization problems in calculus. You'll be tested on the rules of calculus and get some

4 Solutions to Linear Programming Problems 13 examples of constrained optimization problems. We will also talk brieﬂy about ways our methods can be applied to real-world problems. 1.3 Representation of constraints We may wish to impose a constraint of the form g(x) ≤b. This can be turned into 2/19/2018 · Here is a set of practice problems to accompany the Optimization section of the Applications of Derivatives chapter of the notes for Paul Dawkins Calculus I course at Lamar University.

### Maximum/Minimum Problems UC Davis Mathematics Applied Optimization Problems · Calculus. Economics 101A Section Notes GSI: David Albouy Notes on Calculus and Optimization 1 Basic Calculus 1.1 Deﬁnition of a Derivative Let f(x) be some function of x, then the derivative of f, if it exists, is given by the following limit, CALCULUS WORKSHEET ON OPTIMIZATION Work the following on notebook paper. Write a function for each problem, and justify your answers. Give all decimal answers correct to three decimal places. 1. Find two positive numbers such that their product is 192 and the …. ### Optimization Calculus 1 2 Problems - YouTube Lecture 10 Optimization problems for multivariable functions. SOLUTIONS TO MAXIMUM/MINIMUM PROBLEMS SOLUTION 8 : Let variable r be the radius of the circular base and variable h the height of the cylinder. The total volume of the cylinder is given to be (area of base) (height) , so that . We wish to MINIMIZE the total COST of construction of the cylinder https://en.wikipedia.org/wiki/Trajectory_optimization level, analytical skills approaching Calculus. Students at the Pre-Calculus level should feel comfortable. Talented students in Algebra 1 can certainly give it a shot. •Last two units: Calculus required –know how to optimization problems. Mathematical Optimization in the. • Calculus I Homework Optimization Problems Page 1

• The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative. Many students find these problems intimidating because they are "word" problems, and because there does not appear to be a pattern to these problems. 9/9/2018 · Problem Solving > Optimization Problems. Optimization problems in calculus often involve the determination of the “optimal” (meaning, the best) value of a quantity. For example, we might want to know: The biggest area that a piece of rope could be tied around. How high a ball could go before it falls back to the ground.

Lecture 10 Optimization problems for multivariable functions Local maxima and minima - Critical points (Relevant section from the textbook by Stewart: 14.7) Our goal is to now ﬁnd maximum and/or minimum values of functions of several variables, e.g., f(x,y) over prescribed domains. As in the case of single-variable functions, we must ﬁrst CALCULUS WORKSHEET ON OPTIMIZATION Work the following on notebook paper. Write a function for each problem, and justify your answers. Give all decimal answers correct to three decimal places. 1. Find two positive numbers such that their product is 192 and the …

pdf. Problems and Solutions in Optimization. George Anescu. Willi-Hans Steeb. Willi-hans Steeb. George Anescu. Yorick Hardy. George Anescu. Willi-Hans Steeb. Willi-hans Steeb. George Anescu. Yorick Hardy. Download with Google Download with Facebook 4 Solutions to Linear Programming Problems 13 examples of constrained optimization problems. We will also talk brieﬂy about ways our methods can be applied to real-world problems. 1.3 Representation of constraints We may wish to impose a constraint of the form g(x) ≤b. This can be turned into

The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative. Many students find these problems intimidating because they are "word" problems, and because there does not appear to be a pattern to these problems. optimization problems calculus pdf Use of differential calculus to solve certain types of optimization.Crop Yield. calculus optimization problems and solutions pdf Optimal Production of a Pharmaceutical. Mahaffy, mahaffymath.sdsu.edu. optimization problems calculus triangle The chapter headings refer to Calculus, Fifth Edition by Hughes-Hallett

Optimization problems (calculus) Video transcript. Let's say that we have a sheet of cardboard that is 20 inches by 30 inches. Let me draw the cardboard as neatly as I can. So it might look something like that. So that is my sheet of cardboard. And just to make sure … AP CALCULUS Name_____ Date_____ Period____ ©a l2X0r1 J4w TK SuOtEac GS0oMfEt zw VaWr4e f 7LzLIC D.e 4 yA zl ul h lr xiag YhstqsU Sr7eAs betr xv Re4d o.5 Optimization Problems Practice Solve each optimization problem. 1) A company has started selling a …

Optimization problems (calculus) Video transcript. Let's say that we have a sheet of cardboard that is 20 inches by 30 inches. Let me draw the cardboard as neatly as I can. So it might look something like that. So that is my sheet of cardboard. And just to make sure … Problems and Solutions in Optimization by Willi-Hans Steeb International School for Scienti c Computing at University of Johannesburg, South Africa Yorick Hardy Department of Mathematical Sciences at University of South Africa George Dori Anescu email: george.anescu@gmail.com

92.131 Calculus 1 Optimization Problems Solutions: 1) We will assume both x and y are positive, else we do not have the required window. x y 2x Let P be the wood trim, then the total amount is the perimeter of the rectangle 4x+2y plus half the circumference of a circle of radius x, or πx. Hence the constraint is P =4x +2y +πx =8+π The objective function is the area CALCULUS WORKSHEET ON OPTIMIZATION Work the following on notebook paper. Write a function for each problem, and justify your answers. Give all decimal answers correct to three decimal places. 1. Find two positive numbers such that their product is 192 and the … 11/4/2014 · Calculus Optimization Problems: 3 Simple Steps to Solve All Step 1: Get Two Equations Step 2: Plug One Equation into the Other & Simplify Step 3: Take the Derivative of this New Equation and Set 11/4/2014 · Calculus Optimization Problems: 3 Simple Steps to Solve All Step 1: Get Two Equations Step 2: Plug One Equation into the Other & Simplify Step 3: Take the Derivative of this New Equation and Set

## www.tkiryl.com Calculus Optimization Problems And Solutions PDF Download. optimization problems calculus pdf Use of differential calculus to solve certain types of optimization.Crop Yield. calculus optimization problems and solutions pdf Optimal Production of a Pharmaceutical. Mahaffy, mahaffymath.sdsu.edu. optimization problems calculus triangle The chapter headings refer to Calculus, Fifth Edition by Hughes-Hallett, 1/5/2013 · This tutorial demonstrates the solutions to 5 typical optimization problems using the first derivative to identify relative max or min values for a problem. Optimization Problems in Calculus.

### Calculus I Homework Optimization Problems Page 1

Calculus Optimization Problems SOLUTIONS. Optimization problems (calculus) Video transcript. Let's say that we have a sheet of cardboard that is 20 inches by 30 inches. Let me draw the cardboard as neatly as I can. So it might look something like that. So that is my sheet of cardboard. And just to make sure …, CALCULUS WORKSHEET ON OPTIMIZATION Work the following on notebook paper. Write a function for each problem, and justify your answers. Give all decimal answers correct to three decimal places. 1. Find two positive numbers such that their product is 192 and the ….

calculus optimization problems and solutions Books? Now, you will be happy that at this time calculus optimization problems and solutions PDF is available at our online library. With our complete resources, you could find calculus optimization problems and solutions PDF or just found any kind of Books for your readings everyday. We have made it Optimization Problems. There are many math problems where, based on a given set of constraints, you must minimize something, like the cost of producing a container, or maximize something, like an

Optimization Problems. There are many math problems where, based on a given set of constraints, you must minimize something, like the cost of producing a container, or maximize something, like an Calculus I or needing a refresher in some of the early topics in calculus. I’ve tried to make these notes as self contained as possible and so all the information needed to Optimization Problems – This is the second major application of derivatives in this chapter. In this section we will look at optimizing a function, possible

4 Solutions to Linear Programming Problems 13 examples of constrained optimization problems. We will also talk brieﬂy about ways our methods can be applied to real-world problems. 1.3 Representation of constraints We may wish to impose a constraint of the form g(x) ≤b. This can be turned into 92.131 Calculus 1 Optimization Problems Solutions: 1) We will assume both x and y are positive, else we do not have the required window. x y 2x Let P be the wood trim, then the total amount is the perimeter of the rectangle 4x+2y plus half the circumference of a circle of radius x, or πx. Hence the constraint is P =4x +2y +πx =8+π The objective function is the area

Constrained Optimization with Calculus • Background • Three Big Problems • Setup and Vocabulary. Background Information In unit 3, you learned about linear programming, in which all constraints and the objective function are linear equations. However, frequently situations arise where the 4/27/2019 · One common application of calculus is calculating the minimum or maximum value of a function. For example, companies often want to minimize production costs or maximize revenue. Solving Optimization Problems when the Interval Is Not Closed or Is Unbounded the California State University Affordable Learning Solutions Program, and Merlot

The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative. Many students find these problems intimidating because they are "word" problems, and because there does not appear to be a pattern to these problems. CALCULUS WORKSHEET ON OPTIMIZATION Work the following on notebook paper. Write a function for each problem, and justify your answers. Give all decimal answers correct to three decimal places. 1. Find two positive numbers such that their product is 192 and the …

Constrained Optimization with Calculus • Background • Three Big Problems • Setup and Vocabulary. Background Information In unit 3, you learned about linear programming, in which all constraints and the objective function are linear equations. However, frequently situations arise where the level, analytical skills approaching Calculus. Students at the Pre-Calculus level should feel comfortable. Talented students in Algebra 1 can certainly give it a shot. •Last two units: Calculus required –know how to optimization problems. Mathematical Optimization in the

CALCULUS WORKSHEET ON OPTIMIZATION Work the following on notebook paper. Write a function for each problem, and justify your answers. Give all decimal answers correct to three decimal places. 1. Find two positive numbers such that their product is 192 and the … 92.131 Calculus 1 Optimization Problems Solutions: 1) We will assume both x and y are positive, else we do not have the required window. x y 2x Let P be the wood trim, then the total amount is the perimeter of the rectangle 4x+2y plus half the circumference of a circle of radius x, or πx. Hence the constraint is P =4x +2y +πx =8+π The objective function is the area

Constrained Optimization with Calculus • Background • Three Big Problems • Setup and Vocabulary. Background Information In unit 3, you learned about linear programming, in which all constraints and the objective function are linear equations. However, frequently situations arise where the The focus of this paper is optimization problems in single and multi-variable calculus spanning from the years 1900 2016:The main goal was to see if there was a way to solve most or all optimization problems without using any calculus, and to see if there was a relationship between this discovery and the published year of the optimization problems.

pdf. Problems and Solutions in Optimization. George Anescu. Willi-Hans Steeb. Willi-hans Steeb. George Anescu. Yorick Hardy. George Anescu. Willi-Hans Steeb. Willi-hans Steeb. George Anescu. Yorick Hardy. Download with Google Download with Facebook Calculus I Homework: Optimization Problems Page 6 Area we want to minimize is A = p 3 36 x2 + y2 16. We need to eliminate x or y from this equation, since we …

Problems and Solutions in Optimization by Willi-Hans Steeb International School for Scienti c Computing at University of Johannesburg, South Africa Yorick Hardy Department of Mathematical Sciences at University of South Africa George Dori Anescu email: george.anescu@gmail.com PDF On May 20, 2016, Willi-Hans Steeb and others published Problems and Solutions in Optimization Find, read and cite all the research you need on ResearchGate Problems and Solutions in

pdf. Problems and Solutions in Optimization. George Anescu. Willi-Hans Steeb. Willi-hans Steeb. George Anescu. Yorick Hardy. George Anescu. Willi-Hans Steeb. Willi-hans Steeb. George Anescu. Yorick Hardy. Download with Google Download with Facebook Constrained Optimization with Calculus • Background • Three Big Problems • Setup and Vocabulary. Background Information In unit 3, you learned about linear programming, in which all constraints and the objective function are linear equations. However, frequently situations arise where the

2/19/2018 · Here is a set of practice problems to accompany the Optimization section of the Applications of Derivatives chapter of the notes for Paul Dawkins Calculus I course at Lamar University. Calculus Optimization Problems/Related Rates Problems Solutions 1) A farmer has 400 yards of fencing and wishes to fence three sides of a rectangular field (the fourth side is along an existing stone wall, and needs no additional fencing). Find the dimensions of the rectangular field of largest area that can be fenced. ! 2x+y=400"y=400#2x

11/4/2014 · Calculus Optimization Problems: 3 Simple Steps to Solve All Step 1: Get Two Equations Step 2: Plug One Equation into the Other & Simplify Step 3: Take the Derivative of this New Equation and Set SOLUTIONS TO MAXIMUM/MINIMUM PROBLEMS SOLUTION 8 : Let variable r be the radius of the circular base and variable h the height of the cylinder. The total volume of the cylinder is given to be (area of base) (height) , so that . We wish to MINIMIZE the total COST of construction of the cylinder

SOLUTIONS TO MAXIMUM/MINIMUM PROBLEMS SOLUTION 8 : Let variable r be the radius of the circular base and variable h the height of the cylinder. The total volume of the cylinder is given to be (area of base) (height) , so that . We wish to MINIMIZE the total COST of construction of the cylinder Calculus I or needing a refresher in some of the early topics in calculus. I’ve tried to make these notes as self contained as possible and so all the information needed to Optimization Problems – This is the second major application of derivatives in this chapter. In this section we will look at optimizing a function, possible

### Maximum/Minimum Problems UC Davis Mathematics Constrained Optimization with Calculus. 2/19/2018 · Here is a set of practice problems to accompany the Optimization section of the Applications of Derivatives chapter of the notes for Paul Dawkins Calculus I course at Lamar University., The focus of this paper is optimization problems in single and multi-variable calculus spanning from the years 1900 2016:The main goal was to see if there was a way to solve most or all optimization problems without using any calculus, and to see if there was a relationship between this discovery and the published year of the optimization problems..

### 4.7 Optimization Problems Mathematics LibreTexts How to Solve Optimization Problems in Calculus Matheno. Calculus I or needing a refresher in some of the early topics in calculus. I’ve tried to make these notes as self contained as possible and so all the information needed to Optimization Problems – This is the second major application of derivatives in this chapter. In this section we will look at optimizing a function, possible https://en.wikipedia.org/wiki/Trajectory_optimization Optimization problems (calculus) Video transcript. Let's say that we have a sheet of cardboard that is 20 inches by 30 inches. Let me draw the cardboard as neatly as I can. So it might look something like that. So that is my sheet of cardboard. And just to make sure …. • Minimizing the Calculus in Optimization Problems
• Optimization Calculus 1 2 Problems - YouTube
• Solving Optimization Problems using Derivatives YouTube

• 9/9/2018 · Problem Solving > Optimization Problems. Optimization problems in calculus often involve the determination of the “optimal” (meaning, the best) value of a quantity. For example, we might want to know: The biggest area that a piece of rope could be tied around. How high a ball could go before it falls back to the ground. The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative. Many students find these problems intimidating because they are "word" problems, and because there does not appear to be a pattern to these problems.

92.131 Calculus 1 Optimization Problems Solutions: 1) We will assume both x and y are positive, else we do not have the required window. x y 2x Let P be the wood trim, then the total amount is the perimeter of the rectangle 4x+2y plus half the circumference of a circle of radius x, or πx. Hence the constraint is P =4x +2y +πx =8+π The objective function is the area The focus of this paper is optimization problems in single and multi-variable calculus spanning from the years 1900 2016:The main goal was to see if there was a way to solve most or all optimization problems without using any calculus, and to see if there was a relationship between this discovery and the published year of the optimization problems.

level, analytical skills approaching Calculus. Students at the Pre-Calculus level should feel comfortable. Talented students in Algebra 1 can certainly give it a shot. •Last two units: Calculus required –know how to optimization problems. Mathematical Optimization in the Calculus II Practice Problems 1: Answers 1. Solve for x: a) 6x 362 x Answer. Since 36 62, the equation becomes 6x 62 2 x, so we must have x 2 2 x which has the solution x 4 3. b) ln3 x 5 Answer. If we exponentiate both sides we get x 35 243. c) ln2 x 1 ln2 x 1 ln2 8 Answer.

SOLUTIONS TO MAXIMUM/MINIMUM PROBLEMS SOLUTION 8 : Let variable r be the radius of the circular base and variable h the height of the cylinder. The total volume of the cylinder is given to be (area of base) (height) , so that . We wish to MINIMIZE the total COST of construction of the cylinder Chapter 10: Constrained Optimization via Calculus Introduction You have learned how to solve one-variable and two-variable unconstrained optimization problems. We now proceed to the next level: solving two-variable problems in which there is a constraint on the actions of the optimizing agent.

pdf. Problems and Solutions in Optimization. George Anescu. Willi-Hans Steeb. Willi-hans Steeb. George Anescu. Yorick Hardy. George Anescu. Willi-Hans Steeb. Willi-hans Steeb. George Anescu. Yorick Hardy. Download with Google Download with Facebook Set up and solve optimization problems in several applied fields. One common application of calculus is calculating the minimum or maximum value of a function. For example, companies often want to minimize production costs or maximize revenue.

92.131 Calculus 1 Optimization Problems Solutions: 1) We will assume both x and y are positive, else we do not have the required window. x y 2x Let P be the wood trim, then the total amount is the perimeter of the rectangle 4x+2y plus half the circumference of a circle of radius x, or πx. Hence the constraint is P =4x +2y +πx =8+π The objective function is the area Calculus I or needing a refresher in some of the early topics in calculus. I’ve tried to make these notes as self contained as possible and so all the information needed to Optimization Problems – This is the second major application of derivatives in this chapter. In this section we will look at optimizing a function, possible

calculus optimization problems and solutions Books? Now, you will be happy that at this time calculus optimization problems and solutions PDF is available at our online library. With our complete resources, you could find calculus optimization problems and solutions PDF or just found any kind of Books for your readings everyday. We have made it 7/7/2016 · Need to solve Optimization problems in Calculus? Let’s break ’em down and develop a strategy that you can use to solve them routinely for yourself. Overview. Optimization problems will always ask you to maximize or minimize some quantity, having described the situation using words (instead of immediately giving you a function to max/minimize).

Economics 101A Section Notes GSI: David Albouy Notes on Calculus and Optimization 1 Basic Calculus 1.1 Deﬁnition of a Derivative Let f(x) be some function of x, then the derivative of f, if it exists, is given by the following limit calculus optimization problems and solutions Books? Now, you will be happy that at this time calculus optimization problems and solutions PDF is available at our online library. With our complete resources, you could find calculus optimization problems and solutions PDF or just found any kind of Books for your readings everyday. We have made it

Lecture 10 Optimization problems for multivariable functions Local maxima and minima - Critical points (Relevant section from the textbook by Stewart: 14.7) Our goal is to now ﬁnd maximum and/or minimum values of functions of several variables, e.g., f(x,y) over prescribed domains. As in the case of single-variable functions, we must ﬁrst 4/27/2019 · One common application of calculus is calculating the minimum or maximum value of a function. For example, companies often want to minimize production costs or maximize revenue. Solving Optimization Problems when the Interval Is Not Closed or Is Unbounded the California State University Affordable Learning Solutions Program, and Merlot

Calculus Optimization Problems/Related Rates Problems Solutions 1) A farmer has 400 yards of fencing and wishes to fence three sides of a rectangular field (the fourth side is along an existing stone wall, and needs no additional fencing). Find the dimensions of the rectangular field of largest area that can be fenced. ! 2x+y=400"y=400#2x The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative. Many students find these problems intimidating because they are "word" problems, and because there does not appear to be a pattern to these problems.

Chapter 10: Constrained Optimization via Calculus Introduction You have learned how to solve one-variable and two-variable unconstrained optimization problems. We now proceed to the next level: solving two-variable problems in which there is a constraint on the actions of the optimizing agent. Calculus II Practice Problems 1: Answers 1. Solve for x: a) 6x 362 x Answer. Since 36 62, the equation becomes 6x 62 2 x, so we must have x 2 2 x which has the solution x 4 3. b) ln3 x 5 Answer. If we exponentiate both sides we get x 35 243. c) ln2 x 1 ln2 x 1 ln2 8 Answer.

Problems and Solutions in Optimization by Willi-Hans Steeb International School for Scienti c Computing at University of Johannesburg, South Africa Yorick Hardy Department of Mathematical Sciences at University of South Africa George Dori Anescu email: george.anescu@gmail.com Calculus I or needing a refresher in some of the early topics in calculus. I’ve tried to make these notes as self contained as possible and so all the information needed to Optimization Problems – This is the second major application of derivatives in this chapter. In this section we will look at optimizing a function, possible

Optimization problems (calculus) Video transcript. Let's say that we have a sheet of cardboard that is 20 inches by 30 inches. Let me draw the cardboard as neatly as I can. So it might look something like that. So that is my sheet of cardboard. And just to make sure … 4/27/2019 · One common application of calculus is calculating the minimum or maximum value of a function. For example, companies often want to minimize production costs or maximize revenue. Solving Optimization Problems when the Interval Is Not Closed or Is Unbounded the California State University Affordable Learning Solutions Program, and Merlot