diagram below is a contour diagram of a function T(x,y) which gives the
temperature in degrees Celsius of a metal plate at location it meters and y meters
a heater located at the origin. Use the diagram to nd the value of T(2, l). m
Include units on your
l. The wind has a velocity of i7 =10?+ 5] miles per hour and a boat is moving in the
direction 31 + 4 j . What is the component of the wind velocity in the dilution the boat
IS movmg? Give you answer as a vector in component form.
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Mac 2313 Quiz 2
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Calculus [II mu,
1- A) Find the slope m the y direction. I -~
Show the 3 D coordinates of the _ - " T
(Q. L * QU\ points you used and your calculations. T M y 55. u
LOO'OTTD figgo " )9: a = Hi" 1
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Calculus III
'1 Suppose your weight in pounds W. is a function of the number of calories C. you ca!
per day and the number of minutes I, you exercise per day. Therefore W: cfw_(C1) Is
f(C I
Calculus III
Fall Term 2010
Course:
MAC 2313 Calculus III
Text:
Calculus,Multivariable , 5th edition by Hughes-Hallet, et al
Instructor:
James Lang
Office Hours:
MW : 11:30 AM-2:00 PM
TR : 9:15 11:15 AM
Online Hour:
Sunday 8:30 9:30 PM
Office: 4-235
Phone
Review for Exam 3
There will be a short non calculator part of the test. On the other part of the test most
problems will just ask for the set-up of the integrals.
I. Double integrals
A. Set-up and evaluate integrals using
1) rectangular coordinates (dA =
MAC 2313
Review 2
I.
Partial derivatives:
A) Graphically
B) Numerically
C) Symbolically
D) Interpret
II.
Gradient and Directional Derivatives in 2 and 3 space
A) Graphically
B) Numerically
C) Symbolically
D) Interpret
III.
Chain Rule
And Extra Problems po
MAC 2313
Review 1
Calculus III
I.
Multivariable functions
A) Interpret multivariable functions in applications given as a table, symbols or
graph
B) Sketch/identify contour curves.
C) Identify and find equations for linear functions from a table, points,
Mac 2313
Additional Problems
Calculus III
1. An object in an xy-plane is being pulled by two ropes. One exerts a force in the
direction of 2i + 5 and the other a force in the direction of 3i + 2 . The sum of the
j
j
+ 190 pounds. What are the magnitudes
Calc 3 Review for Test 4
Chapter 17
1. Find parametric equations for lines and circles.
2. Solve problems involving motion. (position, velocity, acceleration)
Chapter 18
1. Sketch a few vectors in a vector field.
2. Calculate line integrals using a parame