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Q: Use the shell method to find the volumes of the solids generated by revolving the regions bounded by...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: How do you define and calculate the area of the surface swept out by revolving the graph of a smooth...

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Q: y‴ − 3y″ + 2y′ = 0

A: Obtain the characteristic equation of the given DE as follows.

Q: a. If (ln x)/x = (ln 2)/2, must x = 2? b. If (ln x)/x = -2 ln 2, must x = 1/2? Give reasons for your...

A: Given:If (ln x)/x = (ln 2)/2, must x = 2? ……... (1)If (ln x)/x = -2 ln 2, must x = 1/2? …….. (2)

Q: A rock is thrown upward from a bridge that is 47 feet above a road. The rock reaches its maximum hei...

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Q: y′=−sin y+1,y(0)=0

A: Given,

Q: A girl is sliding down a slide shaped like the curve y = 9e^(-x/3). Her y-coordinate is changing at ...

A: Given,

Q: find the center of mass of a thin plate of constant density d covering the given region. 1. The regi...

A: Given information:

Q: Find the volume of the solid generated by revolving the region bounded by the x-axis, the curve y = ...

A: Hi, thank you for the question. There are multiple question in the request. And the solution of each...