Homework Assignment 9
Due: April 23 in Recitation
1. Find the area of the region enclosed by the spiral r = and the xaxis on the interval
0 .
2. (*) Calculate the area enclosed by the cardioid r = 1 + cos pictured below.
3. Find the area of the region in
Exam 2 Review
1. Sketch the region R, in the xy plane, that corresponds to the domain of the given function.
x2 + y 2 1
(a) f (x, y ) =
(b) f (x, y ) = ln(4 xy )
2. For the following functions, sketch the level curves at the given heights
25 x2 y 2 , k =
Windows Document to PDF Scanning Procedure
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Exam 1 Review
1. Write the equation, in standard form, of the sphere with diametrically opposed points of
(1, 3, 2) and (1, 7, 8).
2. Determine whether or not the following equation represents the points on a sphere in 3space.
If it does, nd its center a
Full Name:
MATH 256: Exam 2
Section:
Wednesday, March 27, 2013
You are expected to justify your answers in a manner that an average 21256 student could
understand.
Your work should be neat and organized and legible. It should NOT consist of various res
Full Name:
MATH 256: Exam 1
Section:
Monday, February 18, 2013
You are expected to justify your answers in a manner that an average 21256 student could
understand.
Your work should be neat and organized and legible. It should NOT consist of various res