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Revolution About the y -AxisLet a. Show that b. Find the
Chapter 6, Problem 14E(choose chapter or problem)
Let \(g(x)=\left\{\begin{array}{ll} (\tan x)^{2} / x, & 0<x \leq \pi / 4 \\ 0, & x=0 \end{array}\right.\)
a. Show that \(x\ g(x)=(\tan x)^2,\ 0\le x\le\pi/4\).
b. Find the volume of the solid generated by revolving the shaded region about the y-axis in the accompanying figure.
Equation Transcription:
Text Transcription:
g(x)={_0, x=0 ^(tan x)^2 /x, 0<x leq pi/4
x g(x)=(tan x)^2, 0 leq x leq pi/4
Questions & Answers
QUESTION:
Let \(g(x)=\left\{\begin{array}{ll} (\tan x)^{2} / x, & 0<x \leq \pi / 4 \\ 0, & x=0 \end{array}\right.\)
a. Show that \(x\ g(x)=(\tan x)^2,\ 0\le x\le\pi/4\).
b. Find the volume of the solid generated by revolving the shaded region about the y-axis in the accompanying figure.
Equation Transcription:
Text Transcription:
g(x)={_0, x=0 ^(tan x)^2 /x, 0<x leq pi/4
x g(x)=(tan x)^2, 0 leq x leq pi/4
ANSWER:Solution:
Step 1 of 3:
In this question, we have to show that