380 STEP 5. Build Your Test-Taking Confidence- If
∫k−kf(x)dx= 2∫ 0−kf(x)dxfor all positive
values ofk, then which of the following could
be the graph off?y0 x(A) y0 x(B)y(^0) x
y (D)
(^0) x
(C)
- Which of the following is the Taylor series for
f(x)=x^2 sinxaboutx=0?
(A) 1 −
x^2
2!+
x^4
4!−
x^6
6!+···
(B) x−
x^3
3!+
x^5
5!−
x^7
7!+···
(C) 1 −
x^4
2!+
x^6
4!−
x^8
6!+···
(D) x^3 −
x^5
3!+
x^7
5!−
x^9
7!+···
[−8, 8] by [−5, 4]- The graph of the polar curver= 3 −sinθis
shown above. Which of the following
expressions gives the area of the region
enclosed by the curve?
(A)1
2
∫ 2 π0( 3 −sinθ)dθ(B)
1
2
∫ 2 π0( 3 −sinθ)^2 dθ(C)∫ 2 π0( 3 −sinθ)dθ(D)∫ 2 π0( 3 −sinθ)^2 dθ- What are all values ofxfor which the series
∑∞
n= 0
xn
n!
converges?(A) − 1 <x<1 only
(B) − 1 ≤x≤1 only
(C) x<−1 andx>1 only
(D) x∈(−∞,∞)