# AP Calculus AB Test : Derivatives and its applications


6
None of the above



(0, -5)
(-4, -21)
(-2, -7)

50
30


3.5
4
5.5
6
7.5


There are no such values of x
x < –3 and x > 2
–3 < x < 2
–3 < x < 1
All values of x

(–(, 3)
(–(, ()
((3, 3)
((3, ()
(3, ()

I only
II only
II and III only
I and II only
I and III only

0.168
0.276
0.318
0.342
0.417



20
4
22
-4/3
1


3.62
2.11
3.1
1.4
2.8

1
4
3
0
2
Find the volume of the solid generated by revolving the region enclosed by y=(x, y=0, x=4 about the line x=4.

I only
II only
III only
I and III only
II and III only
Description:

This test contains twenty questions on Derivatives and Applications of derivatives, 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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