(a)
(b)
(i)
(ii)
(a)
(b)
(c)
Find the area of region R.
Set up, but do not evaluate, integrals in terms of a single variable
for:
the volume of the solid formed when R is rotated around the x-
axis,
the volume of the solid whose base is R, if all cross sections in
planes perpendicular to the x-axis are squares.
Given the function f(x) = e 2 x (x^2 − 2):
For what values of x is f decreasing?
Does this decreasing arc reach a local or a global minimum? Justify
your answer.
Does f have a global maximum? Justify your answer.
(a) A spherical snowball melts so that its surface area shrinks at the
constant rate of 10 square centimeters per minute. What is the rate of
