Barrons AP Calculus

(A)

(B)

(C)

(D)

(E)

(A)

(B)

(C)

(D)

(E)

(A)

(C)

(D)

(E)

(A)

(B)

(C)

(D)

(E)

(A)

(B)

(C)

(D)

(B)

x^2     +   y^2     =   1

x^2     +   4y^2    =   4

x^2     +   2y  =   2

x^2     +   y^2     =   4

x^2     −   2y  =   2

The area    bounded by  the lemniscate  with    polar   equation    r^2     =   2   cos 2θ  is

equal   to

4

1

2

=   0

=   π

=   2π

diverges

The first   four    terms   of  the Maclaurin   series  (the    Taylor  series  about   x   =   0)

for     are

1   +   2x  +   4x^2    +   8x^3

1   −   2x  +   4x^2    −   8x^3

−1  −   2x  −   4x^2    −   8x^3

1   −   x   +   x^2     −   x^3

1   +   x   +   x^2     +   x^3

−x^2 e−x    +   2xe−x   +   C

−x^2 e−x    −   2xe−x   −   2e−x    +   C