(1 point) Let F

=(9x

2

y+3y

3

+3e

x

)i

+(4e

y

2

+81x)j

F=(9x2y+3y3+3ex)i+(4ey2+81x)j

. Consider the line integral of F

F

around the circle of radius a

a

, centered at the origin and traversed counterclockwise.

(a) Find the line integral for a=1

a=1

.

line integral =

(b) For which value of a

a

is the line integral a maximum?

a=

a=

(Be sure you can explain why your answer gives the correct maximum.)