[
10
points] Let A be the area of the region in the first quadrant enclosed by the
y
-axis,
y=
tanx
and the line
y=k
, where
k>0
. a. Find the area, A , when
k=1
. b. If the region, A , when
k=\sqrt(3)
, is rotated about the
x
-axis, what is the resulting volume? [10 points] Let
f(x)=|x^(2)-4|
. Find the average value of the function from -1 to 3 .