AP Calculus BC MC Practice

• B
• C
• D
• E

• A
• B
• C
• D

(Simplify!)

• ∫√3cos²t+3sin²t  dt
• ∫√9cos⁴t+9sin⁴t  dt
• ∫√cos⁶t+sin⁶t  dt
• 3∫costsint dt

• <⅛,8>
• <¾,8>
• <¾,4>
• <-¾,8>

A curve is defined by the parametric equations shown. What is ? $\frac{d^2y}{dx^2}$  ?

• 1 / (12e^t )

• 1 / ( 9e^t )

• e^t / 2

• 3e^t / 4

• –3 ln |x – 1| + 3 ln |x – 5| + C

• –2 ln |x – 1| + 2 ln |x – 5| + C

• 3 ln |x – 1| – 3 ln |x – 5| + C

• 12 ln |x – 1| + 12 ln |x – 5| + C

• A

• B

• C

• D

• E

• A

• B

• C

• D

• E

(No Calc) The slope of the polar curve r = 1 - cosθ at θ = π/2 is

• -1

• -1/2

• 0

• 1/2

• 1

(Calc OK): Find the area inside the inner loop r = 1 + 2 cosθ.

• 0.544

• 1.087

• 8.338

• 8.881

• 9.424