CALCULUS 2302 FALL 2012
PRACTICE QUESTIONS FOR THE FINAL
Note: problems are taken from the previous nals.
7.1. Consider the function f (x, y) = 4 + (x 1)2 + (y 1)2 on the triangular region where
x 0,
Calculus 2302, Fall 2012
Intermediate Calculus
Syllabus
Instructors: Rasul Shakov, MC 112, shafikov@uwo.ca (emails will be answered within 48 hours).
Oce hours: Mondays 2:30 - 4:30 PM.
Textbook: J. St
CALCULUS 2302 FALL 2012
HOMEWORK ASSIGNMENT 2.
Due October 3.
1.1. Find the acute angle between two lines in R2 given by
x + 2y = 7
1.2.
1.3.
1.4.
1.5.
1.6.
5x y = 2
(i) Given the vector u = 3i + 5j 3
CALCULUS 2302 FALL 2012
HOMEWORK ASSIGNMENT 4.
Due November 5.
4.1. Find a vector function that represents the curve of intersection of the surfaces z = 4x2 + y 2
and z = xy.
4.2. Prove the Chain Rule
CALCULUS 2302 FALL 2012
HOMEWORK ASSIGNMENT 6.
Due December 3.
6.1. If u = f (x, y), where x = es cos t and y = es sin t, show that
2u 2u
+ 2 = e2s
x2
y
2u 2u
+ 2
s2
t
.
6.2. Find the directions in wh