AP Calculus AB Problems with Solutions (Part - 2)

Problem 1 :

Evaluate :

Solution :

Problem 2 :

Evaluate :

Solution :

Problem 3 :

Evaluate :

Solution :

Problem 4 :

Let g be a continuous function on the closed interval [-1, 3], where g(-1) = -2 and g(3) = -5. Which of the following is guaranteed by the Intermediate Value Theorem?

A)  g(c) = -3 for at least one c between -5 and -2.

B)  g(c) = 0 for at least one c between -1 and 3.

C)  g(c) = 0 for at least one c between -5 and -2.

D)  g(c) = -3 for at least one c between -1 and 3.

Solution :

Problem 5 :

The following table lists the values of the functions f and g, and their derivatives, f' and g', for the x-values 0 and 3.

Solution :

Let function F be defined as F(x) = f[g(x)].

F'(3) = ?

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