There are 20 problems. Each problem is worth 10 points. SHOW your work.
CIRCLE your answer. NO CALCULATORS!
1. Is c (t) = (sin 2t, cos 2t) a ow line of the vector eld F (x, y ) = (y, x) ?
2. Find the equations of the line tangent to the curve traced out b
There are 10 problems. Each problem is worth 10 points. SHOW your work.
CIRCLE your answer. NO CALCULATORS!
1. Show that c (t) = (sin t, cos t, et ) is a ow line of the vector eld
F (x, y, z ) = (y, x, z ) .
2. Find the divergence of the vector eld
V (x,
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Quiz 3, Spring, 2013
The quiz is worth 5 points. Remove EVERYTHING from your desk except
this quiz and a pen or pencil. SHOW your work. Express your work in a neat
and coherent manner.
(x + y )2 exy dxdy , where R is the region bounded by
Math 550, Exam 2, Solution, Spring 2013
Write everything on the blank paper provided. You should KEEP this piece of
paper. If possible: turn the problems in order (use as much paper as necessary),
use only one side of each piece of paper, and leave 1 squa
Math 550, Final Exam, Spring 2013
Write everything on the blank paper provided. You should KEEP this piece of
paper. If possible: turn the problems in order (use as much paper as necessary),
use only one side of each piece of paper, and leave 1 square inc
Math 550, Exam 2, Spring 2013
Write everything on the blank paper provided. You should KEEP this piece of
paper. If possible: turn the problems in order (use as much paper as necessary),
use only one side of each piece of paper, and leave 1 square inch in
Math 550, Exam 1, Spring 2013
Write everything on the blank paper provided. You should KEEP this piece of
paper. If possible: turn the problems in order (use as much paper as necessary),
use only one side of each piece of paper, and leave 1 square inch in
Math 550, Exam 1, solution, Spring 2013
Write everything on the blank paper provided. You should KEEP this piece of
paper. If possible: turn the problems in order (use as much paper as necessary),
use only one side of each piece of paper, and leave 1 squa
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Quiz 2, Spring, 2013
The quiz is worth 5 points. Remove EVERYTHING from your desk except
this quiz and a pen or pencil. SHOW your work. Express your work in a neat
and coherent manner. The solution will be posted later today.
Let f (x) be
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Quiz 5, Spring, 2013
The quiz is worth 5 points. Remove EVERYTHING from your desk except
this quiz and a pen or pencil. SHOW your work. Express your work in a neat
and coherent manner.
Find the average y coordinate of the points on the se