From: Dr. Kadoura, Tariq
Well Edward, congratulations on presidency. I am glad I could help you and Cindy and
id be more than happy to help with your class dispute. Type equation here.
To approach the question of m
Be sure this exam has 6 pages including the cover
The University of Tennessee
Math 142, Test II, March of 2016
Name
Student Number
This exam consists of 5 questions worth 100 points in total. Calculators, notes, cell phones are
not permitted. No aids are
Math 142 Lecture 10
1
Math 142 Lecture 10
8:00-8:50
MM 63
Friday, 9/16/16
Announcements:
Problem Set 5 is posted, Friday, Sept. 23 at 8:00.
6.2
Volume, Density, Average Value
This section has several applications of integration. We wont do all of them, ju
Be sure this exam has 6 pages including the cover
The University of Tennessee
Math 142, Test I (Sample), Sept of 2016
Name
Student Number
This exam consists of 5 questions worth 100 points in total. Calculators, notes, cell phones are
not permitted. No ai
APPLICAT IONS OF
4
THE DERIVAT IVE
4.1 Linear Approximation and Applications
Preliminary Questions
1. Estimate g (1.2) g (1) if g (1) = 4.
SOLUTION
Using the Linear Approximation,
g (1.2) g (1) g (1)(1.2 1) = 4(0.2) = 0.8.
2. Estimate f (2.1), assuming th
PA RAMETRIC EQUATIONS,
11 POLAR C OORDINATES,
AND C ONIC SECTIONS
11.1 Parametric Equations
Preliminary Questions
1. Describe the shape of the curve x = 3 cos t , y = 3 sin t .
SOLUTION
For all t ,
x 2 + y 2 = (3 cos t )2 + (3 sin t )2 = 9(cos2 t + sin2 t
Solutions for Practice Midterm 1
1. Evaluate the integral Solution. Substitution u = sin x
( sin
2 4
2
x cos3 x ) dx .
( sin
2 4
2
x cos x ) dx =
3
2 2
1
u3 u5 u (1 - u ) du = - 3 5
2 2
1
2
2
1 1 2 2 4 2 = - - - = 3