Quiz 9
Math M311 Spring 2011
March 31, 2009
Complete all problems, being sure to Show all your work. Use of a. calculator
is prohibited.
Name: / 7 m
1. Find the volume of the solid that is bounded by the graph 2 = m3eym2, the pianes
m z 21 y = 1,
Final Exam
Math-M311 Spring 2011
May 4, 2011
Answer the questions in the spaces provided on the question sheets, being
sure to provide full justication for your solutions. If you run out of room for
an answer, continue on the back of the page. Your exam s
Midterm Exam 3
Math-M311 Spring 2011
April 21, 2011
Answer the questions in the spaces provided on the question sheets, being
sure to provide full justication for your solutions. If you run out of room for
an answer, continue on the back of the page. Your
Midterm Exam 2
Math-M311 Spring 2011
March 10, 2011
Answer the questions in the spaces provided on the question sheets, being
sure to provide full justication for your solutions. If you run out of room for
an answer, continue on the back of the page. Your
Notes on Limits of Functions of Several Variables
My goal here is to collect thoughts concerning limits of functions of several variables.
First o, recall that given a function f (x, y) and a point (a, b) R2 which is approachable
from the domain of f 1 we
Information for Midterm Exam 1
Math M311 Spring 2011
The rst midterm exam will be held on February 10, 2011 from 2:30-3:20 in BH215. It
will cover all of chapter1 13 (sections 13.1-13.6) and also sections 14.1-14.4 of chapter 14. In
particular, you should
Information for Midterm Exam 3
Math M311 Spring 2011
The third midterm exam will be held on April 21, 2011 from 2:30-3:20 in BH215. It will
cover Section 15.81 and also Sections 16.116.8. In particular, you should be procient with
all of the skills from t
Information for Midterm Exam 2
Math M311 Spring 2011
The second midterm exam will be held on March 10, 2011 from 2:30-3:20 in BH215. It
will cover1 section 14.4 and also sections 15.1-15.7 of chapter 15. In particular, you should be
procient with all of t
Final Exam
Math~M311 Spring 2011
May 4, 2011
Answer the questions in the Spaces provided on the question sheets, being
sure to provide full justiﬁcation for your solutions. If you run out of room for
an answer, continue on the back of the page. Your exam
Midterm Exam 3
Math—M311 Spring 2011
April 21, 2011
Answer the questions in the spaces provided on the question sheets, being
sure to provide full justiﬁcation for your solutions. If you run out of room for
an answer, continue on the back of the page. Y
Quiz 11
Math M311 Spring 2011
April 28, 2011
Complete all problems, being sure to show all your work. Use of a calculator
is prohibited.
Name:
1. Use spherical coordinates to evaluate
z dV , where H is the solid described by
H
described by x2 + y 2 + z 2
Quiz 10
Math M311 Spring 2011
April 14, 2011
Complete all problems, being sure to ShOW all your work. Use of a calculatgl I
is prohibited.
Name: I
l. Evaiuate the foliowing iterated integral by ﬁrst converting to polar coordinates:
j: +y)d$dy.
(Hin
Quiz 10
Math M311 Spring 2011
April 14, 2011
Complete all problems, being sure to show all your work. Use of a calculator
is prohibited.
Name:
1. Evaluate the following iterated integral by rst converting to polar coordinates:
2y 2
1
(x + y)dxdy.
0
y
(Hin
Midterm Exam 1
Math—M311 Spring 2011
February 101 2011
Answer the questions in the spaces provided on the question sheets, being
sure to provide full justiﬁcation for your solutions. If you run out of room for:
an answer, continue on the back of the pag
Quiz 11
Math M311 Spring 2011
April 28, 2011
Complete all problems, being sure to Show all your work. Use of a calculator
is prohibited.
Name: 0’79
1. Evaluate f f IE 2 dV, where H is the solid described by described by 3:2 —|— y2 + ,32 g 9,
Midterm Exam 2
Math—M311 Spring 2011
March 10, 2011
Answer the questions in the spaces provided on the question sheetsy being
sure to provide full justiﬁcation for your solutions. If you run out of room for
an answer, continue on the back of the page. You
Midterm Exam 1
Math-M311 Spring 2011
February 10, 2011
Answer the questions in the spaces provided on the question sheets, being
sure to provide full justication for your solutions. If you run out of room for
an answer, continue on the back of the page. Y
Quiz 2
Math M311 Spring 2011
January 20, 2009
Complete all 3 problems, being sure to show all your work. Use of a
calculator is prohibited.
Name:
1. Find an exact expression for the angle between the vectors a = 3, 1, 5 and b =
2, 4, 3 .
2. Find the scala
Quiz 2
Math M311 Spring 2011
January 20, 2009
H7 Complete all 3 problems, beiﬁg sure to ShOW all your work. Use of a
calculator is prohibited. ]
§ A09 F (913
1. Find an exact expression for the angle between the vectors a: = (3, _l,5> and 5 2
Quiz 5
Math M311 Spring 2011
February 17, 2009
Complete all problems, being sure to show all your work. Use of a calculator
is prohibited.
Name:
1. Find the velocity, acceleration, and speed of a particle with position function r(t) =
t2 + 1, 2 cos(t), 2
Quiz 6
Math M311 Spring 2011
February 24, 2009
Complete all problems, being sure to show all your work. Use of a calculator
is prohibited.
Name:
2
1. Verify that uxy = uyx for the function u(x, y) = x2 ey , and nd uyxx .
2. Let f (x, y) = xexy . Find an e
Quiz 8
Math M311 Spring 2011
March 24, 2009
Complete all problems, being sure to show all your work. Use of a calculator
is prohibited.
Name:
1. Find the absolute maximum and minimum values of the function f (x, y) = exy on the
region D = cfw_(x, y) : x2
Information for the Final Exam
Math M311 Spring 2011
The nal exam will be held on Wednesday, May 4, 2011 from 12:30-2:30 in BH215. It
will cover all sections covered in the rst three midterm exams, as well as section Section
16.81 from Stewart. In particu
Quiz 4
Math M311 Spring 2011
February 3, 2009
Complete all problems, being sure to show all your work. Use of a calculator
is prohibited.
Name:
1. Find the parametric and vector equations for the tangent line to the curve
2
x = t + 2t5/2 , y = sin(et 1),
Quiz 1
Math M311 Spring 2011
January 13, 2009
Complete all problems, being sure to show all your work. Use of a calculator
is prohibited.
Name:
1. Which of the points P (6, 2, 3), Q(5, 1, 4) and R(0, 3, 8) is closest to the xz-plane?
2. Find the equation