AP®︎ Calculus BC: Topic 5.10 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 5.10 of AP Calculus BC – Introduction to Optimization Problems.


Questions List

Topic 5.10

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Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12

Question 1 Easy

Figure

A farmer uses 300 meters of fencing for a rectangular pen along a barn, as shown. The barn forms one side and needs no fence. Which function gives the area of the pen in terms of xx?

AA(x)=x(150−x)A(x)=x(150-x)
BA(x)=x(300−x)2A(x)=\dfrac{x(300-x)}{2}
CA(x)=x(300−2x)A(x)=x(300-2x)
DA(x)=x(300−x)A(x)=x(300-x)

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 5.10: Introduction to Optimization Problems

Learning Objective: FUN-4.B

Calculate minimum and maximum values in applied contexts or analysis of functions.

Essential Knowledge: FUN-4.B.1

The derivative can be used to solve optimization problems; that is, finding a minimum or maximum value of a function on a given interval.