f(x)=Let fbe the function defined bygraph of fand the horizontal line Y=1, as shown in the image below.Region R-3-2(a) Find the area of R.155+3x². Let R be the shaded region bounded by the-120R23(b) The region Ris rotated around the x-axis. Find the volume of the resulting solid.(c) Let (x) be the vertical distance between the point (x, f(x)) and the horizontal line y=1, Find the rateof change of r(x) with respect to x at X=-1.

A function To Find:a) Area of region R.b) Region R is rotated around the x-axis and then finds the…

f(x)= Let /be the function defined by graph of fand the horizontal line Y=1, as shown in the image below. Region R -3 -2 (a) Find the area of R 7 5+3x². Let R be the shaded region bounded by the 2 0 R 2 3 b) The region Ris rotated around the x-axis. Find the volume of the resulting solid. c) Let (x) be the vertical distance between the point (x, f(x)) and the horizontal line Y= 1,. Find the rat of change of r(x) with respect to xatx=-1

f(x)= Let /be the function defined by graph of fand the horizontal line Y=1, as shown in the image below. Region R -3 -2 (a) Find the area of R 7 5+3x². Let R be the shaded region bounded by the 2 0 R 2 3 b) The region Ris rotated around the x-axis. Find the volume of the resulting solid. c) Let (x) be the vertical distance between the point (x, f(x)) and the horizontal line Y= 1,. Find the rat of change of r(x) with respect to xatx=-1

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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