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AP Calculus AB Practice Test

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AP Calculus AB Practice Questions Free

ap calculus ab practice test free ap calculus ab flashcards

Q:1-Consider the function f(x) = 10e-x - x2. Which Reimann sum calculation would give the best approximation of the integral from x=0 to x=20?
02-01-a ap-calculus-ab questions
Mark one answer:
A
B
C
D
E

Q:2-Find the eqation of the line tangent to the graph of y = x + x1/2 at point (4,6).
02-02-a ap-calculus-ab questions
Mark one answer:
A
B
C
D
E

Q:3-Determine the value of 02-03 ap-calculus-ab questions .
Mark one answer:
8
12
10
6
4

Q:4-02-04 ap-calculus-ab questions
02-04-a ap-calculus-ab questions
Mark one answer:
A
B
C
D
E

Q:5-f(x) = x2 + 3 when x < 3 and
f(x) = 7x - 3 when x ≥ 3
At x=6 the funciton described above is:
Mark one answer:
undefined
continuous but not differentiable
both continuous and diffentiable
neither differentiable or continuous
differentiable but not continuous

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Q:6-Let 02-06 ap-calculus-ab questions. Which of the following gives the equation of the line normal to f(x) when x=2?
Mark one answer:
27x + 96y = 470
32x + 9y = 103
27x + 111y = 535
192x + 54y = 735
32x - 9y = 25

Q:7-Find the equation of the line that is tangent to the graph of
f(x) = sin(2πx) + x3
when x = 3.
Mark one answer:
y + 27 = 27(x + 3)
y - 27 = 2π(x - 3)
y + 27 = (2π + 27)(x + 3)
y - 27 = 27(x - 3)
y - 27 = (2π + 27)(x - 3)

Q:8-Which of the following functions contains a removeable discontinuity?
02-08-a ap-calculus-ab questions
Mark one answer:
A
B
C
D
E

Q:9-Which of the following functions has exactly one point of inflection?
Mark one answer:
f(x) = -15x + 3
f(x) = 3x2 - 10x + 20
f(x) = 10x4 - 4x3 + 3
f(x) = -12e-x + 7
f(x) = x3 - x - 1

Q:10-02-10 ap-calculus-ab questions
Mark one answer:
0
2
4
1
The limit does not exist


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