(B)
(C)
(D)
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
40
157
166
Find the volume of the solid generated when the region bounded by the
y-axis, y = ex, and y = 2 is rotated around the y-axis.
0.592
1.214
2.427
3.998
The path of a satellite is given by the parametric equations
x = 4 cos t + cos 12t,
y = 4 sin t + sin 12t.
The upward velocity at t = 1 equals
3.073
3.999
12.287
12.666
You wish to estimate ex, over the interval |x| < 2, with an error less than
0.001. The Lagrange error term suggests that you use a Taylor
polynomial at 0 with degree at least
9
10
11
12
Find the volume of the solid formed when one arch of the cycloid
defined parametrically by x = θ − sin θ, y = 1 − cos θ is rotated around
the x-axis.
15.708
16.755
29.609
49.348
