AP Calculus BC Practice Exam 2 409y0 xf- The graph offis shown above, andf is twice
differentiable. Which of the following has the
largest value?
I. f( 0 )
II. f′( 0 )
III. f′′( 0 )
(A) I
(B) II
(C) III
(D) I and II
22.
∫
x√
x+ 2 dx=(A)
x^2
2
+ 2 (x− 2 )(^3) / 2
+c
(B)
2
3
(x+ 2 )(^3) / 2
+c
(C)
2
5
(x+ 2 )(^5) / 2
−
4
3
(x+ 2 )(^3) / 2
+c
(D)
2
5
(x− 2 )(^5) / 2
4
3
(x− 2 )(^3) / 2
+c
23.
∫
5
(x− 3 )(x+ 2 )
dx=(A) ln∣∣
x− 3∣∣
+ln∣∣
x+ 2∣∣
+c
(B) ln∣∣
x− 3∣∣
−ln∣∣
x+ 2∣∣
+c
(C) 2ln∣
∣x− 3
∣
∣+3ln
∣
∣x+ 2
∣
∣+c(D)1
5
ln∣∣
(x− 3 )(x+ 2 )∣∣
+c[–5, 5] by [–5, 5]- A slope field for a differential equation is
shown above. Which of the following could be
the differential equation?
(A)
dy
dx
= 2 x(B)
dy
dx
=− 2 x(C)
dy
dx
=y(D)
dy
dx
=x−y- Which of the following is a Taylor series for
xe^2 xaboutx=0?
(A) x+x^2 +
x^3
3!+
x^4
4!+···
(B) 1 + 2 x+
2 x^2
2!+
2 x^3
3!+···
(C) x+ 2 x^2 +
4 x^3
2!+
8 x^4
3!+···
(D) x+ 2 x^2 +
4 x^3
2+
8 x^4
3