5 Steps to a 5 AP Calculus AB 2016 by William Ma

Author:William Ma
Language: eng
Format: epub
ISBN: 0071850287
Publisher: McGraw-Hill Education
Published: 2015-08-15T00:00:00+00:00

Step 6: Since x = 3 is the only relative minimum point in the interval, it is the absolute minimum.

Step 7: . Thus, the shortest distance is .

• Simplify numeric or algebraic expressions only if the question asks you to do so.

Area and Volume Problems

Example Area Problem

The graph of encloses a region with the x-axis and y-axis in the first quadrant. A rectangle in the enclosed region has a vertex at the origin and the opposite vertex on the graph of . Find the dimensions of the rectangle so that its area is a maximum.

Solution:

Step 1: Draw a diagram. (See Figure 9.2-2.)

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