Math 1310-001
Camacho
Spring 2013
March 8, 2013
Quiz#9
Directions: Show your work in answering the following questions. Write your final answers in
the spaces provided.
1.
Suppose an ice cube is melting in such a way that its volume, V(t), decreases at a rate
of 3 cubic millimeters per second. At what rate is each side length, s(t), of the cube decreasing
at the instant each side length is 10 millimeters. Assume that the ice cube maintains the shape
of a perfect cube as it melts.
s’(t)
=
-o)y
Cf
-‘ct
V( sL)
V ‘(i) 3
S’(i)
Yh
3 -L()
2.
Find all critical points of f(x)
critical point by a comma.
Critical Points
ç’()=
=
=
2x
L&().::
2x
2 + 2x + 1 on the interval [—5,5]. Separate each
x
JiL