Barrons AP Calculus

14.

(A)

(B)

(C)

(D)

(E)

15.

(A)

(B)

(C)

(D)

(E)

16.(A)

(B)

(C)

(D)

(E)

17.

BC ONLY QUESTIONS 14–15

The area    enclosed    by  the ellipse with    parametric  equations   x   =   2   cos θ

and y   =   3   sin θ   equals  6π

3π

The area    enclosed    by  one arch    of  the cycloid with    parametric  equations   x

=   θ   −   sin θ   and y   =   1   −   cos θ   equals  

2π

3π

4π

6π

The area    enclosed    by  the curve   y^2     =   x(1 −   x)  is  given   by  

π

2π

The figure  below   shows   part    of  the curve   of  y   =   x^3     and a   rectangle   with

two  vertices    at  (0,     0)  and     (c,     0).     What    is  the     ratio   of  the     area    of  the

rectangle   to  the shaded  part    of  it  above   the cubic?