MATH 3140  002, 003
Name/Unid:
Lab 3
Due Date: 2/2/2017
Write your answer in the space provided using additional pages if necessary. Show your work for full credit.
2
2
2
1. (10 points) Find the volume of the
p solid that lies within the sphere x + y + z
MATH 3140  002, 003
Lab 4
Due Date: 2/9/2017
Name/Unid:
Write your answer in the space provided, using additional pages if necessary. Show your
work for full credit.
1. (15 points) The Laplace transform of a function f is given by
Z
est f (t) dt
f(s) =
MATH 3140  002, 003
Name/Unid:
Lab 2
Due Date: 1/26/2017
1. Computing Total Electric Charge over a Region
If an electric charge is distributed over a region D and the charge density (in units of charge per unit
area) is given by (x, y) at a point (x, y)
MATH 3140  002, 003
Name/Unid:
1. Verify Fubinis Theorem for the following integral:
ZZ
4xy + x2 y 3 dA
R
where R = [1, 3] [0, 2].
Lab 1
2. For each of the following integrals, express D in set notation and then evaluate the
integral. (Hint: If you are h
Math 3140
Practice Exam 1 Name and Unid:
1. Suppose a laminar object with boundaries y = x and y =
y(1 x2 /2). Find the mass of the object.
x has a density function (x, y) =
2. Suppose a factory must perform two operations on items they are producing. The
Math 31404
Quiz 3
Name and Unid:
Write your answer in the space provided. Show work for full credit.
1. Compute the surface area of the plane x + 2y + z = 3 that lies within the cylinder of radius 1 centered
on the zaxis by computing the appropriate sur
Math 31401 Curves and Surfaces Practice
1. Consider a cone surface C whos widest base is in the xy plane, centered at the origin with radius 1,
and whos pointy tip is located at the point (x, y, z) = (0, 0, 1). Note, we will ignore the circular disk
bas
William H. Nesse
Partial Differential Equations for
Scientists and Engineers
October 20, 2016
Contents
1
Introduction to Partial Differential Equations for Transport . . . . . . . .
1.1 Flux, Conservation, and the Fundamental Theorem of Calculus . . . .
P
Name and Unid:
Math 31404 Quiz #1 S17. Total: 15 points
Write your answer in the space provided. Show work for full credit.
1. Consider the region D bounded by y = x 2 and x = y 2 . This is a type I and type II region.
(a) (10 points) Set up the iterated
Name and Unid:
Math 31404 Quiz #2 S17. Total: 20 points
Write your answer in the space provided. Show work for full credit.
1. (5 points) Let R be the region with x 0, y 0, and bounded by the circles x2 + y 2 = 1 and
x2 + y 2 = 4. Sketch the region R. Ca
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