MA 3972-MA-Book April 11, 2018 16:20
382 STEP 5. Build Your Test-Taking Confidence
0 x
y
f′
ab^0 x
y
g′
ab
0 x
y
p′
ab^0 x
y
q′
ab
- What is the volume of the solid obtained by
revolving the region enclosed
by the graphs ofx=y^2 andx=9 about they-axis?
(A) 36π (B)
81 π
2
(C)
486 π
2
(D)
1944 π
5
- At what value(s) ofxdo the graphs of
y=exandy=x^2 + 5 xhave parallel tangent lines?
(A) − 2. 5 (B) 0
(C) 0 and 5 (D) − 2 .45 and 2.25
- Letyrepresent the population in a town. Ify
decreases according to the equation
dy
dt
=ky,
withtmeasured in years, and the
population decreases by 25% in 6 years, thenk=
(A) − 8. 318 (B) − 1. 726
(C) − 0. 231 (D) − 0. 048
- Ifh(x)=
∫x
4
(t−5)^3 dton [4, 8], thenhhas a
local minimum atx=
(A) 4 (B) 5
(C) 6 (D) 7
- The volume of the solid generated by revolving
the region bounded by the graph ofy=x^3 , the
liney=1, and they-axis about they-axis is
(A)
π
4
(B)
2 π
5
(C)
3 π
5
(D)
2 π
3
ab^0
y
x
q(t)
- Ifp(x)=
∫x
a
q(t)dt a≤x≤band the graph
ofqis shown above, which of the graphs
shown below is a possible graph ofp?
0 x
y
ab^0 x
y
ab
0 x
y
ab
(A) (B)
(C)
0 x
y
ab
(D)
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