Answered: 5. Find where y = In(cosh(2x)) +… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Question

5. Find
dy
where
dx
y = In(cosh(2x)) + Vsinh-(2x) + tanh² (7x).
6. i)
Sketch the region enclosed by the curves and find its area y =
y = |x|.
4+x2
ii)
Find the volume of the solid that results when the region
enclosed by x= Jy and y = x is revolved about the line
x = 5.

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1. Find the area bounded by the lines and curves y = 4x – x² , x =1 and x = 3 2.) Find the volume of solid generated by revolving the region bounded by the lines y = 0, x = 2 and curve y = x² about the x-axis.
In what option is the definite integral that calculates the volume of the rotating body formed by the function y = e ^ 4x, the line y = 4 and the region bounded by the oy-axis, rotating around the line x = ln2 / 2?
1.Consider the region bounded by the curve y = x2and y = 4x. a) Set up (but do not evaluate) an integral that gives the volume of the solid if this region is revolved around the x-axis b) Set up (but do not evaluate) an integral that gives the volume of the solid if this region is revolved around the y-axis. c) Set up (but do not evaluate) an integral that gives the volume of the solid if this region is revolved around y = −2. d) Set up (but do not evaluate) an integral that gives the volume of the solid if this region is revolved around x = 8.
What is the volume formed by revolving about the x-axis the area bounded by the lines x = 1, x = 5 and the x-axis and the curve xy = 8. Show full complete solution.
33 Find the volume of the solid that results when the region in the first quadrant bounded by the curve x = 8y3 and line x = 10.3 is revolved about the 2x-axis.
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