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Applications of the Interval Richard Park Himali Shah Eunsoo Lee Mitchell Kupstas

Homework for Integration Applications

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Page 1: Homework for Integration Applications

Applications of the Interval

Richard ParkHimali ShahEunsoo Lee

Mitchell Kupstas

Page 2: Homework for Integration Applications

THIS SECTION SHOWS THE 8 HOMEWORK QUESTIONS

Page 3: Homework for Integration Applications

Homework Question No. 1

For the end cutoff

*The base of a solid is a circle of radius a, and every plane section perpendicular to a diameter is a square. The solid has volume

*Choice (E) says 3

3

8a

Page 4: Homework for Integration Applications

H.Q. No. 1 Solution

Page 5: Homework for Integration Applications

Homework Question No. 2

For the end cutoff

*The base of a solid is the region bounded by the parabola x^2=8y and the line y=4, and each plane section perpendicular to the y-axis is an equilateral triangle. The volume of the solid is

Page 6: Homework for Integration Applications

H.Q. No. 2 Solution

For end cutoff

* ydy38

Page 7: Homework for Integration Applications

Homework Question No. 3

Page 8: Homework for Integration Applications

H.Q. No. 3 Solution

Page 9: Homework for Integration Applications

Homework Question No. 4

Page 10: Homework for Integration Applications

H.Q. No. 4 Solution

Page 11: Homework for Integration Applications

Homework Question No. 5

For end cutoff

* 2

2

2 )16( dxx

Page 12: Homework for Integration Applications

H.Q. No. 5 Solution

Page 13: Homework for Integration Applications

Homework Question No. 6

Page 14: Homework for Integration Applications

H.Q. No. 6 Solution

Page 15: Homework for Integration Applications

Homework Question No. 7

Page 16: Homework for Integration Applications

H.Q. No. 7 Solution

Page 17: Homework for Integration Applications

Homework Question No. 8

Page 18: Homework for Integration Applications

H.Q. No. 8 Solution