MATH 234
FINAL EXAM
April 30, 2001
Name(print)_ Student Number_ Section Number_ Page Points 1 2 3 4 5 6 Total
Instructions: 1.Since grading will be based on method you must show all work . 2.Boldfaced letters indicate vecturs such as F or k. 3.Check that
Name:
ID Number:
TA:
Section Time:
No calculators or any other devices allowed.
If any question is not clear, ask for clarication.
No credit will be given for illegible solutions.
If you present dierent answers for the same problem,
the worst answer will
Name:
ID Number:
TA:
Section Time:
MTH 234
Exam 4: Practice
December 7, 2010
50 minutes
Sects: 16.1-16.5,
16.7, 16.8.
1.
No calculators or any other devices allowed.
If any question is not clear, ask for clarication.
No credit will be given for illegible
MATH 234
FINAL EXAM
December 11, 2001
Name(print)_ Student Number_ Section Number_ Page Points 1 2 3 4 5 6 Total
Instructions: 1.Since grading will be based on method you must show all work . r 2.Boldfaced or lined letters indicate vectors such as F or k
Name:
ID Number:
TA:
Section Time:
MTH 234
Exam 1: Practice
September 21, 2010
50 minutes
Sects: 12.1-12.6.
1.
No calculators or any other devices allowed.
If any question is not clear, ask for clarication.
No credit will be given for illegible solutions.
Math 234, Practice Test #3
Show your work in all the problems.
1. Find the volume of the region bounded above by the paraboloid z = 9
x2 y 2 , below by the xy-plane and lying outside the cylinder x2 + y 2 = 1.
2. Evaluate the integral by changing to pola
Math 234, Practice Test #4
Show your work in all the problems.
1. Evaluate the line integral
C
2xy dx + (x2 + y 2) dy
where C is the circular arc given by
r(t) = (x(t), y (t) = (cos t, sin t) , 0 t
2
2. Find a potential function for the vector eld F = (c
Name:
TEST 1
answers
No Calculators
1 (48 points) A hummingbird starts at a feeder located at F (0, 0, 10) (distances in
feet) and ies straight toward a point B (10, 20, 30) on a branch with a speed 3f t/s. An
observer is located at O(5, 10, 10).
(a) (5)
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ID Number:
TA:
Section Time:
MTH 234
Exam 2: Practice
October 19, 2010
50 minutes
Sects: 13.1, 13.3,
14.1-14.7.
1.
No calculators or any other devices allowed.
If any question is not clear, ask for clarication.
No credit will be given for illegible
Math 234, Practice Test #2
Show your work in all the problems.
1. In what directions is the derivative of
f (x, y ) =
x2 y 2
x2 + y 2
at P = (1, 1) equal to zero ?
2. Find an equation for the level surface of the function through the given
point P .
(a)
f
Math 234, Practice Test #1
Show your work in all the problems. 1. Find parametric equations for the line in which the planes x +2y + z = 1 and x y + 2z = 8 intersect. 2. Compute the distance from the point (2, 2, 3) to the plane through the points A = (0,