calc 2

4
Written Homework 2 Name: Due Tuesday, February 2 by 8pm Directions. You must write your name on each page of your homework. When uploading your written homework, it is EXTREMELY important that you have your pages in the correct order! Otherwise, it will not be graded properly. Also, all your work must be within the box, or it will not be graded. Each problem is worth 10 points. 1. Find the volume of the solid generated by revolving the region bounded by y = cos x, y = sin x, x = 0, and x = π 4 about the x-axis. Page 1

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Written Homework 2 Name:

Due Tuesday, February 2 by 8pm

Directions. You must write your name on each page of your homework. When uploading yourwritten homework, it is EXTREMELY important that you have your pages in the correct order!Otherwise, it will not be graded properly. Also, all your work must be within the box, or it willnot be graded. Each problem is worth 10 points.

1. Find the volume of the solid generated by revolving the region bounded by y =√cosx,

y =√sinx, x = 0, and x =

π

4about the x-axis.

Page 1

Written Homework 2 Name:

2. Find the volume of the solid generated by revolving the region bounded by x = y2 andx = 4 about the y-axis.

Page 2

Written Homework 2 Name:

3. Find the volume of the solid generated by revolving the region bounded by y = ex2, y = 0,

x = 0, and x = 1 about the y-axis.

Page 3

Written Homework 2 Name:

4. Find the length of the curve y =ex + e−x

2from x = 0 to x = ln 4.

Page 4