University of Toronto
Department of Electrical and Computer Engineering
MAT291F - Calculus III

Quiz #3

Wednesday, November 27, 2002

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Last Name: ____________________________________

First Name: ____________________________________

Student No: ____________________________________

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1. (5 Marks)
Integrate the vector field

along the path

Solution:

2. (5 Marks)
Integrate the vector field

around the circle in a clockwise fashion.

Solution:

3. (5 Marks)
Evaluate where is the region defined by the curves:

Solution:

4. (5 Marks)
What is the surface area of the part of the surface that lies above the region

Solution: