AP Calculus BC Review
Assessment
•
Jeff Brenneman
•
Mathematics
•
12th Grade - University
•
10 plays
•
Hard
Student preview
9 questions
Show answers
1.
Multiple Choice
A curve is defined by the parametric equations shown. What is d2y/dx2 ?
1 / (12et )
1 / ( 9et )
et / 2
3et / 4
2.
Multiple Choice
–3 ln |x – 1| + 3 ln |x – 5| + C
–2 ln |x – 1| + 2 ln |x – 5| + C
3 ln |x – 1| – 3 ln |x – 5| + C
12 ln |x – 1| + 12 ln |x – 5| + C
3.
Multiple Choice
The shaded region in the figure shown is bounded by the graphs of y = x2 – 1/4 and y = 1/16 – x4 for –½ ≤ x ≤ ½. Which of the following expressions gives the perimeter of the region?
A
B
C
D
4.
Multiple Choice
The number of fish in a lake is modeled by the function P that satisfies the differential equation dP/dt = 0.003P(1000 – P), where t is the time in years. Which of the following could be the graph of y = P(t)?
A
B
C
D
5.
Multiple Choice
Which of the following series is absolutely convergent?
A
B
C
D
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