# Optimization Problems in Calculus: Examples & Explanation - Quiz & Worksheet

Instructions:

question 1 of 3

### A cylindrical container must hold 2L or 2,000 cm^3 of liquid. Which of the the following is the optimization equation in terms of the radius, r, if the amount of material used to make the container is to be minimized?

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### 2. A box with a square base and a top is to be constructed from 10 square meters of material. Find the dimensions which will maximize the volume that the box can hold.

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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 optimization practice problems on which to gauge your skills.

## Quiz & Worksheet Goals

Use these assessment tools to assess your knowledge of:

• The formula for surface area and its proper application
• Derivative equations of optimization problems
• Dimensional aspects of volume in theory and in financial circumstances

## Skills Practiced

This worksheet and quiz let you practice the following skills:

• Critical thinking - apply relevant concepts to examine information about optimization problems in calculus in a different light
• Problem solving - use acquired knowledge to solve math with optimization problems in calculus practice problems
• Interpreting information - verify that you can read information regarding optimization problems in calculus and interpret it correctly

To learn more, review the corresponding lesson, called Optimization Problems in Calculus: Examples & Explanation, which covers the following topics:

• Defining optimization problems
• Identify absolute minimum or maximum value of a function over a given interval
• Contrast and compare optimization equation and constraint equations
• Understanding the substitution method
• Understanding the power rule of differentiation
• Defining intervals
Final Exam Math 104: Calculus
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Chapter Exam Calculating Derivatives and Derivative Rules
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