Deck 7: Extension E: Differential Equations

Question 1

Find the area of the surface obtained by revolving the graph of y = on [0,1] about the x-axis.

Answer 1

4 $\pi$

Question 2

Find the area of the surface obtained by rotating the curve about the y-axis.

A)
B)
C)
D)
E) None of these

Answer 2

None of these

Question 3

Find the area of the surface obtained by rotating the curve about the x-axis.

A)
B)
C)
D)
E)

Answer 3

Question 4

Set up,but do not evaluate,an integral for the area of the surface obtained by rotating the curve about the given axis. y-axis

A)
B)
C)
D)
E)

Question 5

Find the area of the surface obtained by rotating the curve about the -axis.

Question 6

Find the area of the surface obtained by rotating the circle about the line

A)
B)
C)
D)
E)

Question 7

Find the area of the surface obtained by revolving the given curve about the y-axis.
x = on [0,2]