Math 16A
1.
Business Applications
April 2, 2014
If the total cost of producing x Klein bottles is given by:
C 1000 0.03x 0.0001x 2
then determine the maximum cost realized.
2.
Determine the maximum average cost using the cost function in example 1.
3.
Res
Math 16A
Quiz
March 25, 2014
My cat Pythagoras had a dream last night (he shared this with me in confidence this
morning, but I am now breaking that confidence) in which he ruled a desert island and
was the king. In his kingdom, his population was mathema
Math 16A
I.
Implicit Differentiation and Related Rates
March 3, 2014
Implicit Differentiation:
1.
Consider the hyperbola whose equation is 2x 2 3y 2 54 .
i)
ii)
iii)
dy
dx
Determine the slope of the tangent line to the graph of this
hyperbola at the point
Math 16A
Retro Quiz
May 5, 2014
1.
A snowball is in the shape of a perfect sphere and is melting at a rate of
2 mm3 minutes . How fast is the radius changing when the volume is 72 mm3 ?
2.
A water trough is 10 m long and has at its ends an inverted isosce
Math 16A
Quiz 6
March 3, 2014
Do not use any technology to answer this question and use only exact values. Show all
x 1
of your work and be both clear and organized. Clearly sketch the graph of y
2
x 2
and determine the equation(s) of the tangent line(s
Math 16A
Quiz
March 28, 2014
Show absolutely all of your work and completely simplify your answer. Remember to
justify any claim for extrema.
A rancher is a member of the secret society of The Descendants of Pythagoras, and
believes that isosceles triangl
Math 16A
Quiz 3
February 6, 2014
Show all of your work, be clear and organized, and completely simplify your answer.
If f x
f x x
2x 3
, then evaluate
2
x 5
x
Math 16A
Quiz
March 5, 2014
Water from a conical filter drips into a cup that is in the shape of a right circular cylinder.
The dimensions of the cone and cup are given in the picture below. Let x represent the
depth of the water in the filter and y the d