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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.

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Question No : 15
The chain rule states that if y = f(g(x)), then dy/dx is equal to:

f'(x) * g(x)
f'(g(x)) * g'(x)
f(x) * g(x)
f(x) * g'(x)
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Question No : 16
Which of the following parametric equations represents a horizontal line?

x = t, y = 0
x = 0, y = t
x = t, y = t
x = 0, y = 0
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Question No : 17
What is the limit of (e^x - 1)/x as x approaches 0?

0
1
e
undefined
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Question No : 18
The work done by a force F(x) in moving an object along a straight line from x = a to x = b is given by the integral ?(a to b) F(x) dx. What does this integral represent?

The average value of F(x) on the interval [a, b]
The derivative of F(x) with respect to x
The area under the curve of F(x) from a to b
The total work done by the force
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Question No : 19
What is the derivative of the vector-valued function r(t) = ?

<2t, 3, 6t^2>
<2t, 3t, 6t^2>
<2t, 3t, 4t^2>
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Question No : 20
What is the radius of convergence for the power series ?(n=0 to 8) (2^n*x^n/n!)?

1
2
8
0
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Question No : 21
Which integration technique is used to find the integral of rational functions by decomposing them into partial fractions?

Integration by parts
Trigonometric substitution
Integration by substitution
Partial fraction decomposition
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