Homework 5 for Math 2753
SOLUTIONS
Show your work. If you use Maple then you must still show the steps.
Problem 1
Consider the function xy 2 + yx2 and the region give by x4 y 2 x2 . Setup the integral of f over this region
in BOTH orders in Cartesian and

Homework 4 for Math 2753
SOLUTIONS
Show your work. If you use Maple then you must still show the steps.
Problem 1
Consider the function f (x, y) = x2 3xy and the region R between the graphs of y = x and y = x3 for
1 x 1. Find the locations and values for

Homework 3 for Math 2753
Due February 8, 2013
Show your work. If you use Maple then you must still show the steps.
Problem 1
Compute all 3 rst order and all 9 second order partial derivatives for the function f (x, y, z) = cos(xy yz + xz).
We compute that

Homework 2 for Math 2753
SOLUTIONS
Show your work. If you use Maple then you must still show the steps.
Problem 1
Find parameterizations for at least four dierent curves which connect the points (1, 0) and (0, 1). For each
parameterization, give it in the

Homework 1 for Math 2753
SOLUTIONS
Show your work. If you use Maple then you must still show the steps.
Problem 1
Consider a rectangular box with side lengths 1, 2 and 15. We construct a (large) number of vectors by taking two
corners and computing the ve

Math 2753 TEST 2
SOLUTIONS
March 22, 2013
Please write clearly and justify your answers carefully. Full credit will only be given for complete answers.
These might prove usefull:
u v = (u2 v3 v2 u3 )i (u1 v3 v1 u3 )j + (u1 v2 v1 u2 )k
uv = u
v cos(), wh

Math 2753 TEST 1
February 15, 2013
SOLUTIONS
Please write clearly and justify your answers carefully. Full credit will only be given for complete answers.
These might prove usefull:
u v = (u2 v3 v2 u3 )i (u1 v3 v1 u3 )j + (u1 v2 v1 u2 )k
uv = u
v cos(),

Math 2753 SAMPLE FINAL EXAM
SOLUTIONS
Name and Student Number:
Please write clearly and justify your answers carefully. Full credit will only be given for complete answers.
There are 11 questions and 18 pages. Notice the sheet with a list of formula at th

Homework 6 for Math 2753
SOLUTIONS
Show your work. If you use Maple then you must still show the steps.
Problem 1
Compute the integral of f (x, y) = y
1 y 2 over the curve C given by y = sin(x) for 0 x .
We parameterize C by r(t) = t, sin(t) for 0 t (this