** 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