Barrons AP Calculus

(Marvins-Underground-K-12) #1
46.
(A)
(B)
(C)
(D)
(E)
47.
(A)
(B)
(C)
(D)
(E)

48.
(A)
(B)
(C)
(D)
(E)

49.
(A)
(B)
(C)

The area    A   enclosed    by  the four-leaved rose    r   =   cos 2θ  equals, to  three
decimal places, 0.785
1.571
2.071
3.142
6.283
The area bounded by the small loop of the limaçon r = 1 − 2 sin θ is
given by the definite integral

VOLUME

In Questions 48–54 the region whose boundaries are given is rotated about the
line indicated. Choose the alternative that gives the volume of the solid
generated.


y   =   x^2     and y   =   4;  about   the line    y   =   −1.

y   =   3x  −   x^2     and y   =   0;  about   the x-axis.
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