AP Calculus BC MCQ Question with Answer

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

Question No : 8
The polar equation r = 2 + 3cos(?) represents a:

Circle

Parabola

Cardioid

Spiral

Question No : 9
What is the radius of convergence for the power series ?(n=0 to 8) (2^n*x^n/n!)?

Question No : 10
What is the curl of the vector field F(x, y, z) = <2xy, x^2 - y^2, 3z^2>?

<0, 0, 0>

<0, 2z, 0>

<2, -2, 0>

<0, 0, 6z>

Question No : 11
If a curve C is parameterized by r(t) = , what type of curve is it?

A line

A circle

A parabola

An ellipse

Question No : 12
What does the second derivative f''(x) tell you about a function f(x)?

The rate of change of f(x)

The concavity of f(x)

The slope of the tangent line to f(x)

The area under the curve of f(x)

Question No : 13
What is the limit of (sin(x))/x as x approaches 0?

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Question No : 14
What is the sum of the first n terms of an arithmetic series with first term a and common difference d?

n(a + d)

n(2a + (n-1)d)/2

n(a + d)/2

a + nd