Math 282 Quiz 6 - Summer
Name_
1. Verify Stokes theorem for the vector field: F( x, y, z ) = y, ! x, 0
and the surface S : z = x 2 + y 2 , 0 ! z ! 9
a) Evaluate the boundary line integral:
b) Evaluate the flux-curl integral:
2. Verify the divergence theor
Math 282 Midterm2 - Summer
1
2) Let R be the triangle with vertices at (0,0), (2,0), and (0,2). Let F( x, y) = 2 y i + 3x j
Verify Greens Theorem by:
a) (10 pts) Computing the boundary line integral for this example.
Boundary consists of: C1 (t ) = 2t , 0
Math 282 Exam1
1
You must show all work to receive any credit simply writing down a correct answer
will receive no credit!
1) Let T be the triangle with vertices (0,0), (0,1), and (2,1). Find:
26
" " (3 ! y )
dA
T
We need to integrate wrt to x first, else
Wei Wei
Math282-42118
WeBWorK assignment number Homework 1 is due : 08/16/2012 at 08:00am PDT.
The
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