(801, #35) The length l, width w, and height h,
of a box change with time. At a certain instant the dimensions are
l = 1m and w = h = 2m, and l and
w are increasing at a rate of 2m/s while h is decreasing at
a rate of 3m/s. At that instant find the rates at which the following
quantities are changing.
b)The surface area
c)The length of the diagonal
Solution: a) The volume:
b)The surface area:
c)The length of a diagonal
( By Pythagorean theorem we find )
No Maple Code for this problem.