# AP Calculus BC Test : Applications of derivative


0

3.21
4.68
2.24
1.32
1.92

3/2
2
4

13
33
8
6
16


None of the above
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The function f(x) increases in [-3, 2]
The function f(x) has maximum value at x=1
The graph of f(x) is below the x-axis in [-3, 2]
The function f(x) has minimum value at x=2
The function f(x) decreases in [-3, 2]

None of the above
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2/3
4/3
1/3
1
None of these

1/2
None of the above
The region in the plane bounded by the graph of y = 1/x, the x-axis and the lines x=1 and x=5 is divided into equal parts by the line x= m>0. Then the value of m is_______
2.5
3
4
None of the above
The area of the region bounded by f(x) = x2+e-2x between the lines x=0 and x=2 is
None of the above

None of the above

3
-2
1
-3
None of these
The area of the region enclosed by the curves given by y = x2 and y = x is_______
1/6
1/2
1/3
5/6
1

None of the above


None of the above
When the volume in cubic units of an expanding sphere is increasing thrice as fast as its radius in linear units, the radius is
1
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2x+y-6=0
2x-y-6=0
2x-y-3=0
2x+y-3=0
None of the above
Description:

This test contains twenty questions on Derivatives and Applications of derivatives, Vector valued functions, Integrals, Application of Integrals. Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number. Wherever appeared, lnx represents the natural logarithm of x with base e. Sometimes, the options may not contain exact numerical value of an answer. In that case, select best approximation to the numerical value you got. After examining the form of the choices, decide the best of the choices given.

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