380 STEP 5. Build Your Test-Taking Confidence
- If
∫k
−k
f(x)dx= 2
∫ 0
−k
f(x)dxfor all positive
values ofk, then which of the following could
be the graph off?
y
0 x
(A) y
0 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 π
0
( 3 −sinθ)dθ
(B)
1
2
∫ 2 π
0
( 3 −sinθ)^2 dθ
(C)
∫ 2 π
0
( 3 −sinθ)dθ
(D)
∫ 2 π
0
( 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∈(−∞,∞)