Quiz 4, Calculus 3, 3450:223-004, Fall 2008
Question 1 (5 pts). The function f (x, y ) = x2 2x + 4y y 2 has a single
critical point. Find it and determine if it is a local minimum, local maximum,
a saddle point or its nature cannot be determined.
Solution
Exam 2, Calculus 3, 3450:223-004, Montero, Fall 2008
Student ID:
Name:
Question 1. 12 pts. Find all the critical points of the function below, and determine the
nature of each one of them.
y2
x3
yx +
6y.
f (x, y ) =
3
2
Solution: We nd ( f )(x, y ) = (x
Calculus II
Spring, 2006
Name:
Dr. D. P. Story
The Last Quiz
Global Instructions: (10 points) Solve each of the following problems without error. Show all details. Continue on
back of the paper, as needed.
(5pts )
1n
x , and perform an endpoint analysis (
Quiz 7Section 006
Calculus II
Spring, 2006
Name:
Dr. D. P. Story
Global Instructions: (10 points) Solve each of the following problems without error. Show all details. Box
in your answers.
pts
(2 )
an be given. If lim an =0, then the series converges. Ind
Differentiation Formulas
(c is a constant, f and g are differentiable functions, and n is any real number)
d
( c )=0
dx
( f + g )' =f ' + g '
d
d
cf ( x ) ]=c [ f ( x ) ]
[
dx
dx
( f g )' =f ' g '
d n
( x )=n x n1
dx
Product Rule
( fg )' =f g ' + gf '
d x
Joe Durbin
Steven Webb
April 15, 2015
For the assignment we were tasked with finding two separate maximums for two of the
UpBeat MP3companies products. The first of the products was their new MP3 player, the
UpBeat Max 1000, the company is interested in f
Sarah Ferkany
Dominic Liotta
Derek Cook
Karyn Hickman
GROUP 402
Introduction
The company TGQ manufactures and sells mountain bikes. This company asked our
group for assistance. The first thing that was asked of our group was to determine the demand
functi
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Quiz 1
3450-210006 Calculus with Business Applications Fall 2013
9/03/2013
Name: m V
Show all work clearly. Justify answom algebraically whenever possible.
\
Problem 1. Fimlw domain of the function [(1) m' 13;.
900mm
9
1470
x
35!
1&2 (00, 3) U U, 5:1
The University of Akron
Department of Mathematics
Date: September 2013
Subject: Project 1
Dear Calculus with Business Applications Student:
My online bookstore, OHaganBooks.com, has grown in popularity. A colleague. Marjory. and l are
working together to
75,-
/ 0
Exam 1 [O
3450-210-006 Calculus with Business Applications Fall 2013
09/26/2013
Name: m
Show work to receive full credit. Please indicate all answers clearly,
and simplify as we have done in class. /
-"(
For the following problmns, let
x) = g(
1
Quiz 5
3450-2104106 Calculus with Business Applications Fall 2013
10/ 17/2013
Name: MW
Show all work clearly. Justify answers algebraically whenever possible.
Simplify as much as possible.
Problem 1. The demand equation for a Maglite ashlight is given
Quiz 6Section 006
Calculus II
Spring, 2006
Name:
Dr. D. P. Story
Global Instructions: (10 points) Solve each of the following problems without error. Show all details. Box
in your answers.
(5pts )
1. Consider the curve y = 2x 5/2 , 0 x 2.
(a) (2 pts) Writ
Quiz 5Section 006
Calculus II
Spring, 2006
Name:
Dr. D. P. Story
Global Instructions: (10 points) Solve each of the following problems without error. Show all details. Box
in your answers.
(3pts )
2x 2 + 1
. Write the form of the partial fraction decomx 2
Quiz 4Section 006
Calculus II
Spring, 2006
Name:
Dr. D. P. Story
Global Instructions: (10 points) Solve each of the following problems without error. Show all details. Box
in your answers.
(4pts )
cos(2x)
dx .
sin(2x)
Solution: Odd power of cosine, seems
Dierential Equations
1. Solve
Homework #1
dy
2
2
= xe2x sin ex .
dx
2
2
2
2
Solution : We have y = xe2x sin ex dx. Substitute t = ex , dt = 2xex dx,
1
1
which yields y =
t sin t dt. Integrate by parts with u = t, dv = sin t dt, du =
2
2
1
dt, v = cos t to
Test Total
Name
Midterm
Due : March 19, 2012
Analytic Function Theory 3450:625
Dr. Norfolk
Show your work.
Quote any references.
You may only discuss this test with me.
Each hint costs 1 point.
1. Let z1 , z2 , z3 be the consecutive (counterclockwise)
Test Total
Name
Midterm
Analytic Function Theory 3450:625
Due : April 4, 2007
Dr. Norfolk
Show your work.
Quote any references.
You may only discuss this test with me.
Each hint costs 1 point.
1
1. Let z1 , z2 be non-zero complex numbers. Show that |I
Test Total
Name
Midterm
Analytic Function Theory 3450:625
Due : April 5, 2006
Dr. Norfolk
Show your work.
Quote any references.
You may only discuss this test with me.
Hints are 1 point.
1. Evaluate
eax cos(bx) dx and
eax sin(bx) dx without integratio
Test Total
Name
Midterm
Analytic Function Theory 3450:625 Dr. Norfolk
Due : March 18, 2005
Show your work.
Quote any references.
You may only discuss this test with me.
Hints are 1 point.
1. Find a formula for f (z ), if f (z ) = u + iv is entire, and
Test Total
Name
Final
Due : 12pm, Wednesday May 2, 2012
Analytic Function Theory 3450:625
Dr. Norfolk
Show your work.
Quote any references.
You may only discuss this test with me.
Hints are 1 point.
(1)n cos(2n)
(1)n sin(2n)
1. Show that
= cos(cos ) c
Test Total
Name
Final
Analytic Function Theory 3450:625
Due : 12pm, May 11, 2007
Dr. Norfolk
Show your work.
Quote any references.
You may only discuss this test with me.
Hints are 1 point.
p(z )
be a non-degenerate rational function. That is, p(z ) a
Test Total
Name
Final
Analytic Function Theory 3450:625
Due : May 10, 2006
Dr. Norfolk
Show your work.
Quote any references.
You may only discuss this test with me.
Hints are 1 point.
cos n
1. Show that
= ln(2 sin ) and
n
2
n=1
sin n
= tan1 cot
n
2
n=