BC Calculus AP Exam Review

• This infinite series converges.
• This infinite series diverges.

• This infinite series converges.
• This infinite series diverges.

• ∞
• 16
• 4
• 28

• 8
• ∞
• 4
• 16

Tags

CCSS.HSA.SSE.B.4

For x(t) = 3t²-3, y(t) = 2t +1, find the slope of the tangent at t = 1

• 1/3

• 1

• 2

• 3

For x(t) = 3t²-3, y(t) = 2t +1, find the speed of the particle at t =1.

• 0.333

• 2.828

• 6.164

• 6.325

The graph of f'(x) is shown above. The function f(x) is twice differentiable. If f(2) = 4, which of the following is true?

• f"(2) < f(2) < f'(2)
• f"(2) < f'(2) < f(2)
• f'(2) < f"(2) < f(2)
• f(2) < f"(2) < f'(2)

The graph of the function f(x), consisting of two line segments, is shown in the figure below. Let g be the function given by g(x) = x² + x – 1, and let h be the function given by h(x) = f(g(x)). What is the value of h'(1)?

• 5
• ⁵/₃
• 3
• ³/₅

What method would you use here?

• antiderivatives
• u-substitution
• integration by parts
• slope fields

Tags

CCSS.HSA.SSE.A.2

If f(x) is concave up, what can we determine about a linear approximation of a value?

• It is an overestimate
• It is an underestimate