Sample Related Rates Problems
1. A spherical balloon is inflated at the rate of 200 cubic feet per minute. How fast is the
balloons radius increasing at the instant the radius is 5 feet?
2. A ladder 12 feet long rests against a vertical wall. If the botto
CHEMISTRY 101
Hour Exam I
September 22, 2015
Adams/Trinh
Name _
Signature _
Section _
You can do what you have to do, and sometimes you can do it even
better than you think you can.
-Jimmy Carter-This exam contains 17 questions on 7 numbered pages. Check
CHEMISTRY 101
Hour Exam II
October 27, 2015
Adams/Trinh
Name _
Signature _
Section _
"Success is the sum of small efforts, repeated day in and day out."
-Robert Collier-This exam contains 17 questions on 5 numbered pages. Check now to make sure you
have a
CHEMISTRY 101
Hour Exam III
December 3, 2015
Adams/Trinh
Name _
Signature _
Section _
"Zeal without knowledge is fire without light."
-Thomas Henry Huxley-
This exam contains 17 questions on 6 numbered pages. Check now to make sure you have a
complete exa
AL1 (MWF 3:00-3:50)
AL2 (MWF 10:00-10:50)
MATH 220
AL3 (MWF 11:00-11:50)
Test 2
Fall 2013
Name
NetID
Sit in your assigned seat (circled below).
Circle your TA discussion section.
Do not open this test booklet until I say START.
Turn o all electronic devic
AL1 (MWF 11:00-11:50)
AL2 (MWF 1:00-1:50)
MATH 220
AL3 (MWF 3:00-3:50)
Test 2
Spring 2015
Name
1
1
1
1
1
1
1
1
1
1
1
NetID
Sit in your assigned seat (circled below).
Circle your TA discussion section.
Do not open this test booklet until I say START.
Turn
Math 220 (section AD?)
Quiz 5
Fall 2014
Name
You have 15 minutes
No calculators
Show sufficient work
3
1. (3 points) Given g(t) = et , find its second derivative g 00 (t).
2. (2 points) Compute f 0 (r) given that f (r) = arctan
p
r2 + 5 .
3. (2 points)
Math 220 Worksheet #5
Instructor: Aaron Schneberger
June 23rd, 2015
1. Explain why the function f (x) is discontinuous at 3. Sketch f (x).
( 2
2x 5x3
if x 6= 3
x3
f (x) =
6
if x = 3
2. Find the values of a and b that make f continuous everywhere.
x2 4
if
Math 220 Worksheet #10
Instructor: Aaron Schneberger
July 7th, 2016
1. Given the following function f (x), find the the local maximum and minimum values of f
using both the First and Second derivative tests.
f (x) =
x2
x1
2. Find the absolute maximum and
Math 220 Worksheet #6
Instructor: Aaron Schneberger
June 27th, 2015
1. Differentiate the function: f (y) = cy 6
2. Differentiate the function: y =
x(x 1)
3. Differentiate the function: k(r) = er + re
4. Differentiate the function: y = x5/3 x2/3
5. Find an
Math 220 Worksheet #7
Instructor: Aaron Schneberger
June 28th, 2016
1. If f (2) = 10 and f 0 (x) = x2 f (x), find f 00 (2).
2. Suppose that f (2) = 3, g(2) = 4, f 0 (2) = 2, and g 0 (2) = 7. Find h0 (2).
h(x) =
g(x)
1 + f (x)
3. Differentiate the function
Math 220 Worksheet #1
Instructor: Aaron Schneberger
June 13th, 2016
1. Find the domain of the following function:
f (x) =
2x3 5
x2 + x 6
2. Find the domain of the following function:
f (u) =
u+1
1
1+
u+1
3. Evaluate the difference quotient for the given f
Math 220 Worksheet #2
Instructor: Aaron Schneberger
June 14th, 2016
1. Graph the following functions by starting with the graph of one of the standard functions
introduced in Section 1.2 and then by applying the appropriate transformations.
(a) f (x) =
(b
Math 220 Worksheet #9
Instructor: Aaron Schneberger
July 5th, 2016
1. Use implicit differentiation to find an equation of the tangent line to the following curve at
the point (1, 2):
x2 + 2xy y 2 + x = 2
.
2. Use implicit differentiation
to find an equati
Math 220 Worksheet #3
Instructor: Aaron Schneberger
June 16th, 2016
15
,
4
1. If sin =
2. If sin x =
1
4
2
< < , find the remaining trigonometric ratios.
and sec y =
cos (x + y)
sin (x y)
cos (2y)
13
,
5
where x and y lie between 0 and 2 , evaluate the
Math 220 (section AD?)
Quiz 6
Spring 2015
Name
You have 15 minutes
No calculators
Show sufficient work
1. (4 points) A plane flies horizontally at an altitude of 6 km and passes directly over a
tracking telescope on the ground. When the angle of elevat