Download ap calculus 20 week review part iii2

AP Calculus 20 Week Review Part III
1)
is
(A) -2
2)
(B) -1
(C) ½
(D) 0
(E) nonexistent
(C)
(D) 0
(E) 1/3
is
(A) -1/3
(B) -1
e ln u
3) If y 
then
u
(A)
4)
Name _________________________
equals
(B)
(C)
A point moves along the curve
(D) 1
(E) 0
so that the x-coordinate is increasing at the constant
rate of 3/2 units per second. The rate, in units per second, at which the distance from the origin
is changing when the point has coordinates (1, 2) is equal to
(A)
5)
(B)
(C)
(D)
(E)
For questions 6 – 8, Use the graph below consisting of two line segments and a quarter-circle. The
graph shows the velocity of an object during a 6-second interval.
6)
For how many values of t in the interval 0 < t < 6 is the acceleration undefined?
(A) none
(B) one
(C) two
(D) three
(E) four
7)
During what time interval (in sec) is the speed increasing?
(A) 0 < t < 3 (B) 3 < t < 5
(C) 3 < t < 6
(D) 5 < t < 6
(E) never
8)
What is the average acceleration (in units/sec2) during the first 5 seconds?
(A) -5/2
(B) -1
(C) -1/5
(D) 1/5
(E) ½
9)
The curve of
(A)
(B)
(C)
(D)
(E)
has
Two horizontal asymptotes
Two horizontal asymptotes and one vertical asymptote
Two vertical asymptotes but no horizontal asymptote
One horizontal asymptote and one vertical asymptote
One horizontal asymptote and two vertical asymptotes
10) The function
passes through the point (1,2). Let
f. Then
equals
(A) 1/83
(B) 1/8
(C) 1
(D) 8
denote the inverse of
(E) 83
11) Suppose
Which statement is true?
(A)
(B)
(C)
(D)
(E)
f is discontinuous only at x=-2
f is discontinuous only at x =1
If f (-2) is defined to be 4, then f will be continuous everywhere
f is continuous everywhere
f is discontinuous at x=-2 and at x=1.
12) Which of the following statements is (are) true about the graph of
I.
II.
III.
(A) I only
?
It is symmetric to the y-axis.
It has a local minimum at x=0.
It has inflection points at x= .
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III
Calculator Allowed
2ln x 
. If F(2) = 0 then F(8) =
3x
4
13) Let F(x) be an antiderivative of
(A) 5.163
(B) 0.860
14) The curve defined by
(A) 0 or – 1/3
15)
(B) 1.037
(C) 0.184
(D) 0.180
(E) 0.004
has a vertical tangent line when x =
(C) 2.074
(D) 2.096
(E) 2.154
16)
17) The velocity of a particle in motion along a line (for t
acceleration when the object is at rest.
(A) -2
(B) 0
(C) ½
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18)
(D) 0
) is
(E) none of these
. Find the
No Calculator Allowed
19)
20)
differential