1. Find the area of the region that lies inside the first curve and outside the second curve.

r² = 50cos(2), r = 5

2. Find all points of intersection of the given curves. (Assume

0< 2 and r0.

Order your answers from smallest to largest. If an intersection occurs at the pole, enter POLE in the first answer blank.)

r= 1 + cos(), r= 1sin()

(r,)	=
(r,)	=
(r,)	=

3. Find all points of intersection of the given curves. (Assume

0< 2 and r0.

Order your answers from smallest to largest. If an intersection occurs at the pole, enter POLE in the first answer blank.)

r= sin(), r= sin(2)

(r,)	=
(r,)	=
(r,)	=

4. Find the area of the shaded region.

r= sqrt

5. List the first five terms of the sequence.

a_n = (-1)^n-1/4^n

a₁ = a₂ = a₃ = a₄ = a₅ =

6. Find a formula for the general terma_nof the sequence, assuming that the pattern of the first few terms continues. (Assume thatnbegins with 1.),

{6, 4, 8/3, 16/9, 32/27, ...}

an=