Math 133 Dr. Kurtz
Exam 1
Name_ Section No._ TA_
Instructions: Please show all of your work. Credit will not be given for answers with no supporting work. dy 1. (21 pts) Compute . dx 2 e- x y= 2 (a) x 2 2 x 2 e - x (-2 x) - e- x (2 x) = Quotient r
1. a.
dy 1 3 = 3 = 2 1 + 9x 1 + 9x 2 dx
2
6x (ln (x 2 + 1) 2 1 dy 2 = 3 (ln (x + 1) 2 2x = b. dx x +1 x2 + 1 c. ln y = sin1 x ln x 1 dy 1 1 = ln x + sin1 x 2 y dx x 1x ln x 1 sin1 x dy = x sin x + 1 x2 dx x 1 dy = x (y 1) dy = y 1 dx
2.
x2
x dx ln y 1 =
x
Nicholas Charles Miller
MTH 133 KURTZ 133.007
WeBWorK assignment number 11.3 is due : 04/05/2010 at 06:00am EDT.
For help on any of these problems, please consult the MTH 133 WeBWorK Forum or start a new thread with your questions.
The primary purpose of
Nicholas Charles Miller
MTH 133 KURTZ 133.007
WeBWorK assignment number 11.4 is due : 04/05/2010 at 06:00am EDT.
IMPORTANT: Look for orange-colored text written above the online list of homework problems for this set to tell you whether
the due date for 1
Nicholas Charles Miller
MTH 133 KURTZ 133.007
WeBWorK assignment number 11.5 is due : 04/05/2010 at 06:00am EDT.
IMPORTANT: Look for orange-colored text written above the online list of homework problems for this set to tell you whether
the due date for 1
Nicholas Charles Miller
MTH 133 KURTZ 133.007
WeBWorK assignment number 8.5 is due : 03/08/2010 at 06:00am EST.
For help on any of these problems, please consult the MTH 133 WeBWorK Forum or start a new thread with your questions.
The primary purpose of W
Nicholas Charles Miller
MTH 133 KURTZ 133.007
WeBWorK assignment number 8.8 is due : 03/08/2010 at 06:00am EST.
For help on any of these problems, please consult the MTH 133 WeBWorK Forum or start a new thread with your questions.
The primary purpose of W
Nicholas Charles Miller
MTH 133 KURTZ 133.007
WeBWorK assignment number 9.1 is due : 03/22/2010 at 06:00am EDT.
For help on any of these problems, please consult the MTH 133 WeBWorK Forum or start a new thread with your questions.
The primary purpose of W
Nicholas Charles Miller
MTH 133 KURTZ 133.007
WeBWorK assignment number 11.1 is due : 03/22/2010 at 06:00am EDT.
For help on any of these problems, please consult the MTH 133 WeBWorK Forum or start a new thread with your questions.
The primary purpose of
Nicholas Charles Miller
MTH 133 KURTZ 133.007
WeBWorK assignment number OPTIONAL-Exam2-ReviewProblems 7.7 to 8.4 is due : 02/24/2010 at 11:59pm EST.
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Nicholas Charles Miller
MTH 133 KURTZ 133.007
WeBWorK assignment number OPTIONAL-Exam1-ReviewProblems 6.1 to 7.6 is due : 02/03/2010 at 11:59pm EST.
For help on any of these problems, please consult the MTH 133 WeBWorK Forum or start a new thread with you
Quiz 1
Name_
Section_
TA_
1. Set up completely an integral for the volume of the solid obtained by rotating about the x-axis
the finite region bounded by the curves y = 4 − x 2 and y = 2 − x . Please sketch at least a rough
graph of the solid. Just set up
Quiz 2
Name_
Section_
TA_
1. Set up completely an integral for the work done in emptying a full hemispherical water
reservoir of radius 15 feet by pumping the water to a height of 5 feet above the top of the
reservoir. Water weighs 62.4 lbs/ft3. You shoul
Quiz 3
Name_
Section_
TA_
1.
Compute
dy
if y = (cos x) ln(sin x) .
dx
dy
⎛ cos x ⎞
= (− sin) ln(sin x) + cos x ⎜
⎟
dx
⎝ sin x ⎠
2.
Compute the antiderivative.
e3 x
∫ (1 + e3 x )3 dx
Substitute u = 1 + e3 x , du = 3e3 x dx , which leads to
e3 x
1 du 1 ⎛ 1
Quiz 5
1.
Compute
Name_
Section_
TA_
dy
if y = ln(cosh 2 x) .
dx
dy ⎛ 1 ⎞
=⎜
⎟ ( sinh 2 x ) 2 = 2 tanh 2 x
dx ⎝ cosh 2 x ⎠
1
2.
Compute
∫x
2
sinh(2 x)dx .
0
Diff
Int
x2
sinh 2x
2x
1
cosh 2 x
2
2
1
sinh 2 x
4
0
1
cosh 2 x
8
1
⎡ x2
⎤
x
1
x sinh(2 x)dx = ⎢ c
Quiz 7
1.
Solve each differential equation. Write your solution y explicitly as a function of x.
(a)
dy
y
=
dx 1 + x 2
;
y (0) = 1
dy
dx
=
y 1 + x2
ln y = tan −1 x + C
0 = 0+C
ln y = tan −1 x , so y = e tan
2.
Name_
Section_
TA_
Evaluate lim
n →∞
lim
n →∞
MTH 133 A 10:20a Recitation Quiz 6GROUP QUIZ October 11, 2016
Group Members: m/P_ Section: _
On this quiz you may work in teams of two and use your notes or book. Show all your work.
If vou have a. question raise your hand and I will come to you.
(2 point
MTH 133 12:40 Recitation Quiz 5 October 4. 2016
Name: _|[Cj_ Section:
Clear your desk of everything except pens, peneile and eranera. Show all your work.
If you have a question raise your hand and I will come to you.
1. (5 points) Evaluate the integral
MTH 1:33-12:40 Quiz 3 9/20/2016
Rey
Clear your desk of everything except pens, pencils and erasers. Show all your work.
If you have a question raise your hand and I will come to you.
Name: Section:
1. (3 points) What is the slope of the curve y = e at :
MTH 13 12:40am Quiz 2 Sept 13. 2016
Name: _F_C)_ Section:
Clear your desk of everything except pens. pencils and erasers. Show all your work.
Ifyou have a question raise your hand and 1 will come to you.
l. AforcedlONisrequiredtoholdaspringthathasbeen
MTII 133 12:40 Quiz 4 Sept 27, 2016
Name: J_ Section: _._.-
Clear your desk of everything except pens, pencils and erasers. Show all your work.
If you have a question raise your hand and 1 will come to you.
1. (5 points) Evaluate the integral
da:
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