MA 222 - Quiz 1 ( 10 minutes)
Problem 1. (6 points ) Copy and complete the table below. You do not need to show work if you have them
memorized. (Hint: If you do happen to forget one of the derivative
MA 222 - Quiz 10B ( 6 minutes)
Important note: Show all of your work. Correct answers without supporting work will not receive full
credit. Two points are free on this quiz.
Problem 1 (8 points ) Find
MA 222 - Quiz 10B ( 6 minutes)
Important note: Show all of your work. Correct answers without supporting work will not receive full
credit. Two points are free on this quiz.
Problem 1 (8 points ) Find
MA 222 - Quiz 10A ( 6 minutes)
Important note: Show all of your work. Correct answers without supporting work will not receive full
credit. Two points are free on this quiz.
Problem 1 (8 points ) Find
MA 222 - Quiz 10A ( 6 minutes)
Important note: Show all of your work. Correct answers without supporting work will not receive full
credit. Two points are free on this quiz.
Problem 1 (8 points ) Find
MA 222 - Quiz 8 Solution
Important note: Correct answers incorrect, inconsistent, or non-existent supporting work will receive zero
points. Four points are free on this quiz.
Problem 1 (6 points ) Let
MA 222 - Quiz 8 ( 8 minutes)
Important note: Correct answers incorrect, inconsistent, or non-existent supporting work will receive zero
points. Four points are free on this quiz.
Problem 1 (6 points )
MA 222 - Quiz 7B Solution
Problem 1 (5 points ) Determine whether the geometric series
5
n=1
4n+1
converges or diverges. If it converges, nd its value. If it diverges, explain why.
Solution: Breaking
MA 222 - Quiz 7B ( 10 minutes)
Directions: This is a take-home quiz. It should be completed on your own and handed in at the beginning
of class on Wednesday, October 10. Late quizzes will not be accep
MA 222 - Quiz 7A Solution
Problem 1 (5 points ) Determine whether the geometric series
4
5n1
n=2
converges or diverges. If it converges, nd its value. If it diverges, briey explain why.
Solution: Brea
MA 222
Tips for u-substitution
K. Rotz
1. Start by picking your u. As a guideline, it should appear directly in the integrand, and its derivative
(which well compute next) should also appear in the in
MA 222 - Quiz 15 ( 10 minutes)
Problem 1. (6 points ) Find the Laplace transform of the function f (t) below. Indicate which item(s) in the
Laplace transform chart you are using. Correct answers witho
MA 222 - Quiz 14 ( 10 minutes)
Problem 1. (10 points ) A 2-lb weight stretches a spring 6 in. The weight is pushed 7 in. above the
1
equilibrium position and released. An external force f (t) = 4 cos
MA 222 - Quiz 2 ( 10 minutes)
Problem 1. (4 points ) Sketch the graph of y = 2x (it doesnt need to be to scale). For full credit, your
graph should include at least three labelled points, have the cor
MA 222 - Quiz 3 ( 10 minutes)
Problem 1. (5 points ) Let
f (x) = xex .
Then it follows that
f (x) = ex (1 x),
(you can use this fact freely without having to derive it).
(a) Find both the x- and y -va
MA 222 - Quiz 5 ( 10 minutes)
Directions : This is a take-home quiz. It should be completed on your own in the alotted 10 minutes (this
is of course on the honor system). No notes or books are allowed
MA 222 - Quiz 6 ( 14 minutes)
Two points are free on this quiz.
Problem 1. (4 points ) Find the integral below. Show each step for full credit.
e2x sin x dx
Solution: We integrate by parts.
u = sin x
MA 222 - Quiz 9
Directions: This is a take-home quiz. You may (and I encourage you to) work with one other person, however
you should not use anything outside of your textbook or in-class notes and ha
MA 222 - Quiz 10 ( 12 minutes)
There are 12 points available on this quiz, but the maximum score is 10.
Problem 1. (6 points ) Find the general solution for the following separable dierential equation
MA 222 - Quiz 11 ( 10 minutes)
Problem 1. (6 points ) A nuclear engineer nds that 75% of a certain radioactive material has decayed after
3 years. What is the half-life of the material? Show calculati
MA 222 - Quiz 13 ( 10 minutes)
There are 12 points available on this quiz, but the maximum score is 10.
Problem 1. (8 points ) Consider the following second order linear, constant coecient, non-homoge
MA 222 - Quiz 7A ( 10 minutes)
Directions: This is a take-home quiz. It should be completed on your own and handed in at the beginning
of class on Wednesday, October 10. Late quizzes will not be accep
MA 222 - Quiz 6B Solution
Problem 1 (5 points ) Compute
ex cos x dx. If you use integration by parts, clearly indicate what u and
dv you use. Show all steps for full credit.
Solution: The acronym LATE
MA 222 - Quiz 6B ( 10 minutes)
Problem 1 (5 points ) Compute
ex cos x dx. If you use integration by parts, clearly indicate what u and
dv you use. Show all steps for full credit.
Problem 2 (5 points )
MA 222 - Quiz 1A Solution
Two points are free on this quiz.
Problem 1 (8 points )
(a) (4 points ) Find the derivative of cos x3 .
Solution: To evaluate the expression, the order of operations is: rst
MA 222 - Quiz 1A ( 5 minutes)
Two points are free on this quiz.
Problem 1 (8 points )
(a) (4 points ) Find the derivative of cos x3 .
(b) (4 points ) Use your answer from (a) to nd the derivative of
x
MA 222
Fun problems for the week of 10/22/2012
K. Rotz
Problem 1. Solve the dierential equation.
dy
= (tan 3x)(cos2 2y ).
dx
Solution: Separating out the variables, were left with
1
dy = tan 3x dx
cos
MA 222
Fun problems for the week of 10/22/2012
K. Rotz
Problem 1. Solve the dierential equation.
dy
= (tan 3x)(cos2 2y ).
dx
Problem 2. Solve the initial value problem.
dy
+ 2y = ln x4
dx
y = whenever
MA 222
Midterm Exam 1, Test B Solutions
Fall 2012
Instructor: K. Rotz
Name: Solution
PUID: 00000-00000
Instructions and tips:
1. There are 8 questions spanning 9 pages total (including this cover page