AP Calculus AB 5.10 Introduction to Optimization Problems Questions

Review AP Calculus AB 5.10 by forming an objective function, using derivatives to locate candidates, and checking endpoints against the applied context.

Exam points

define an objective function and identify feasible critical points
justify an absolute minimum or maximum using derivative and endpoint evidence

Covered syllabus points

FUN-4.B—Calculate minimum and maximum values in applied contexts or analysis of functions

[Maximum number: 1]

A rectangle has its upper two vertices on the graph of $y=12-\frac{x^{2}}{3}$ and its lower two vertices on the x-axis. What is the maximum possible area of the rectangle?

$216-72 \sqrt{5}$

$32 \sqrt{3}$

144

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Covered syllabus points

Question 1