(d) Let A(w) be as described in part (e). Find the rate of change of A wih respect tow when w6.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Please solve part D.

Let / be the function given by fx) = vI – 3.
(a) On the axes provided below, sketch the graph of f and shade the .egion R enciosed by the
graph of f. ihe x-axis, and the vertical line x= 6.
Note: The axes for this graph are provided in the pink test booklet only.
(b) Find the area of the region R described in part (a).
(c) Rather than using the line x 6 as in part (a), consider the line E=w, where w can be
any number greater than 3. Let A(w) be the area of the region enclosed by the graph of f.
the x-axis, and the verical line w. Write an integral expression for A(w)
(d) Let A(w) be as described in part (e). Find the rate of change of A with respect to w when
w = 6.
Transcribed Image Text:Let / be the function given by fx) = vI – 3. (a) On the axes provided below, sketch the graph of f and shade the .egion R enciosed by the graph of f. ihe x-axis, and the vertical line x= 6. Note: The axes for this graph are provided in the pink test booklet only. (b) Find the area of the region R described in part (a). (c) Rather than using the line x 6 as in part (a), consider the line E=w, where w can be any number greater than 3. Let A(w) be the area of the region enclosed by the graph of f. the x-axis, and the verical line w. Write an integral expression for A(w) (d) Let A(w) be as described in part (e). Find the rate of change of A with respect to w when w = 6.
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