AP_微积分BC选择题Section1练习
- 1、下载文档前请自行甄别文档内容的完整性，平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益，请联系客服反馈,我们会尽快为您处理(人工客服工作时间：9:00-18:30)。
1) Find
a)
b)
c)
d)
e)
2) If
which of the following is true about y = f (x)?
a) f has a local minimum at x = 5 and a point of inflection at x = 10.
b) f has a local minimum at x = 5 and a local maximum at x = 10.
c) f has a point of inflection at x = 5 and a local minimum at x = 10.
d) f has a point of inflection at x = 5 and a local maximum at x = 10.
e) f has a local maximum at x = 5 and a local minimum at x = 10.
3) A curve is described by parametric equations
where t > 0. Give an expression for
a)
b)
c)
d)
e)
4) Give the value for
a)
b)
c)
d)
e)
5) Which of the following series converge?
I.
II.
III.
a) I and II only
b) II only
c) II and III only
d) I only
e) I, II and III
6) If g(f(x)) = x, g(4) = 2 and g'(4) = 11, then f '(2) is
a)
b)
c)
d)
e)
7) If f is a differentiable function and f(0) = -2 and f(5) = 4, then which of the following must be true?
I. There exists a c in [0,5] where f(c) = 0.
II. There exists a c in [0,5] where f ' (c) = 0.
III. There exists a c in [0,5] where f ' (c) = 6/5.
a) II only
b) I only
c) I and III only
d) II and III only
e) I, II and III
8) Evaluate
a)
b)
c)
d)
e)
9) Find the area enclosed by the graphs of
and the y-axis.
a)
b)
c)
d)
e)
10) What is the minimum value of the function
a)
c)
d)
e)
11) Give the value of
a)
b)
c)
d)
e)
12) The side of a cube is expanding at a constant rate of 5 inches per second. What is the rate of change of the surface area, in in2per second, when the volume of the cube is 64 in3?
a)
b)
c)
d)
e)
13) Give the area inside one petal of the polar graph of
a)
b)
c)
d)
e)
14) Give the solution to the initial value problem
a)
b)
c)
d)
e)
15) The position of a particle moving along a horizontal line is given by
What is the maximum speed of the particle for 0 < t < 10?
a)
b)
c)
d)
16) =
a)
b)
c)
d)
e)
17) Define the function
for x > 0. Give the interval on which the function is increasing.
a)
b)
c)
d)
e)
18)
Which of the following differential equations correspond to the slope field shown in the figure above?
a)
b)
c)
d)
e)
19) Evaluate
a)
b)
c)
d)
e)
20) If thenis