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 : 22
What is the integral of vx with respect to x?

(2/3)x^(3/2) + C

(1/2)x^(3/2) + C

2vx + C

x^(3/2) + C

Question No : 23
What is the average value of the function f(x) = 2x^2 on the interval [1, 3]?

4/3

8/3

16/3

32/3

Question No : 24
Which method is commonly used to solve separable differential equations?

Laplace transforms

Substitution

Separation of variables

Variation of parameters

Question No : 25
In parametric equations, what do the variables x and y depend on?

Time t

Angle ?

Radius r

Both a and b

Question No : 26
What is the unit vector in the direction of vector v = <4, -3>?

<1, 1>

<2, -1.5>

<4/5, -3/5>

<0, 0>

Question No : 27
What is the dot product of two vectors a and b?

|a| × |b| × cos(?)

|a| × |b| × sin(?)

|a| + |b|

|a| - |b|

Question No : 28
What is the area under the curve y = sin(x) from x = 0 to x = p?