HW #10
Practice. These exercises are recommended for the further development of your skills.
13.2: 147 (odd)
13.3: 332 (odd)
13.4: 331 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) Evaluate the following in
HW #1
Practice. These exercises are recommended for the further development of your skills.
10.1: 11, 13, 15
10.6 (p. 558): 21, 23, 29, 31
10.2: 919 (odd), 27
10.3 (p. 536): 1725 (odd)
Written. Please give complete, well-written solutions to the follo
HW #4
Practice. These exercises are recommended for the further development of your skills.
11.1: 3747
11.2: 915 (odd), 25, 27
11.3: 3, 4, 23, 25, 57
Written. Please give complete, well-written solutions to the following exercises.
(1) We have seen tha
HW #5
Practice. These exercises are recommended for the further development of your skills.
11.4: 5,15,17,27,29,31
11.5: 1727 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) The pressure, volume, and temperatu
HW #5
Practice. These exercises are recommended for the further development of your skills.
11.4: 5,15,17,27,29,31
11.5: 1727 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) The pressure, volume, and temperatu
HW #3
Practice. These exercises are recommended for the further development of
your skills.
10.7: 1722, 33, 35, 37
10.8: 3, 5
10.9: 11-19 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) Show that the curve
r(
HW #1
Practice. These exercises are recommended for the further development of your skills.
10.1: 11, 13, 15
10.6 (p. 558): 21, 23, 29, 31
10.2: 919 (odd), 27
10.3 (p. 536): 1725 (odd)
Written. Please give complete, well-written solutions to the follo
HW #2
Practice. These exercises are recommended for the further development of your skills. YOU ARE
NOT REQUIRED TO HAND THEM IN.
10.4 (p. 544): 33, 35
10.5 (p. 552): 715, 2127 (odd)
Written. Please give complete, well-written solutions to the following
HW #12
Practice. These exercises are recommended for the further development of your skills.
13.7: 147 (odd)
13.8: 118 (odd)
13.9: 116 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) Evaluate s F d S where F
HW #6
Practice. These exercises are recommended for the further development of your skills.
11.6: 9,11,2530
11.7: 2143 (odd)
11.8: 1117 (odd), 21
Written. Please give complete, well-written solutions to the following exercises.
(1) The cylinder x2 + y
HW #6
Practice. These exercises are recommended for the further development of your skills.
11.6: 9,11,2530
11.7: 2143 (odd)
11.8: 1117 (odd), 21
Written. Please give complete, well-written solutions to the following exercises.
(1) The cylinder x2 + y
HW #7
Practice. These exercises are recommended for the further development of your skills.
12.1: 1126 (odd)
12.2: 110, 49 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) Find the volume of the solid enclosed
HW #8
Practice. These exercises are recommended for the further development of your skills.
12.3: 131(odd)
12.4: 324 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) Find the volume of the solid above the cone
HW #9
Practice. These exercises are recommended for the further development of your skills.
12.5: 315 (odd)
12.6: 1727 (odd)
12.7: 2133 (odd)
Written. Please give complete, well-written solutions to the following exercises.
RRR
(1) Express the integral
HW #9
Practice. These exercises are recommended for the further development of your skills.
12.5: 315 (odd)
12.6: 1727 (odd)
12.7: 2133 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) Express the integral
E f
HW #7
Practice. These exercises are recommended for the further development of your skills.
12.1: 1126 (odd)
12.2: 110, 49 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) Find the volume of the solid enclosed
HW #10
Practice. These exercises are recommended for the further development of your skills.
13.2: 147 (odd)
13.3: 332 (odd)
13.4: 331 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) Evaluate the following in
HW #11
Practice. These exercises are recommended for the further development of your skills.
13.5: 17 (odd), 1016
12.6: 3344 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) Show that:
(a) Any vector eld of the
HW #8
Practice. These exercises are recommended for the further development of your skills.
12.3: 131(odd)
12.4: 324 (odd)
Written. Please give complete, well-written solutions to the following exercises.
p
(1) Find the volume of the solid above the con
HW #12
Practice. These exercises are recommended for the further development of your skills.
13.7: 147 (odd)
13.8: 118 (odd)
13.9: 116 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) Evaluate s F d S where F
HW #3 Solutions
Practice. These exercises are recommended for the further development of
your skills.
10.7: 1722, 33, 35, 37
10.8: 3, 5
10.9: 11-19 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) Show that th
HW #2
Practice. These exercises are recommended for the further development of your skills.
10.4 (p. 544): 33, 35
10.5 (p. 552): 715, 2127 (odd)
Written. Please give complete, well-written solutions to the following exercises.
(1) Let u, v, w R3 . Show
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Math 209
Midterm Solutions
1. Either compute the following limit or show that it does not exist:
p
x2 y 2 + 1 1
.
lim
x2 + y 2
(x,y)(0,0)
Solution
We have (by passing to polar coordinates x = r cos and y = r sin )
p
x2 y 2 + 1 1
x2 y 2
1
p
lim
=
lim
lim
2
Calculus III Syllabus
Course title: Calculus III, MATH-UA.123.008, Fall 2016
Meeting times: Monday and Wednesday, 15:30-17:20, 194 Mercer 307
Course description: We will extend the ideas of Calculus I and Calculus II, such as
limits, derivatives and integ
AXIAL FOR CEOS
THE GUIDE TO
PRIVATE COMPANY VALUATION
THE SELLER SERIES
THE COMPLETE GUIDE TO PRIVATE COMPANY VALUATION
Table of Contents
Private Company Valuation Methods. 4
Valuing Add-Ons vs. Platforms. 9
Benefits & Drawbacks of Add-On Acquisitions . 1
Algebra and Calculus Final
Name: Solutions
Problem 1
a. Sketch y = |x| + 2. First draw
x
x0
|x| =
x x < 0
so |x| is a piecewise function, then draw |x| + 2 by moving the plot |x| up by 2 units. Recall
graph translation: suppose a > 0, changing x to xa mea
Solutions to Final Examination
December 19, 2008
version 1.0-dev, 2008-12-16 08:46
V63.0121
Calculus I
1
V63.0121
Solutions to Final Examination
December 19, 2008
1
1. (10 Points) Compute the following derivatives. Please leave your answers unsimplified.