# AP Calculus AB MCQ Question with Answer

## AP Calculus AB MCQ with detailed explanation for interview, entrance and competitive exams. Explanation are given for understanding.

Question No : 1
What is a vector?

A point in space
A scalar quantity
A quantity with magnitude and direction
A constant value

Question No : 2
Which of the following limits does not exist?

lim (x -> 0) (1/x)
lim (x -> 2) (x^2 - 4)/(x - 2)
lim (x -> 1) (x^2 - 1)/(x - 1)
lim (x -> 3) (1/x^2)

Question No : 3
If h(x) = e^(2x), what is h'(x)?

2e^(2x)
e^(2x)
2e^(x)
e^(x)

Question No : 4
The function P(t) represents the population of a city at time t. What does ?(a to b) P(t) dt represent?

The average population of the city on [a, b]
The change in population of the city from time a to time b
The rate of population growth at time a
The population of the city at time b

Question No : 5
What is the antiderivative of e^(2x) with respect to x?

e^(2x) + C
(1/2)e^(2x) + C
(1/2)e^(2x^2) + C
(1/4)e^(2x) + C

Question No : 6
Which test is used to determine the convergence or divergence of an infinite series involving alternating terms?

Integral Test
Comparison Test
Alternating Series Test
Divergence Test

Question No : 7
The integral ?(0 to 1) x^3 dx is equal to:

0
1/4
1/3
1/2