MAT 1320 A
Fall 2011
October 5th, 8:30
Prof. Nevins
Solution:
1. [2 points] Solve for x : e3x+5 = 2x . (Hint: use ln.)
Solution:
e3x+5 = 2x ln(e3x+5 ) = ln(2x ) 3x + 5 = x ln(2)
3x x ln(2) = 5 x(3 ln(2) = 5
5
x=
3 ln(2)
Grading scheme: Deduct 1 point for
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MAT 1322 A. Winter 2013. Wednesday, February 6. 8h309h50
Midterm 1 Version A
Solution Key
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First name:
Student ID number:
0 Exam duration: 80 minutes.
a Only calculators allowed by the Faculty of Sciences (Texas Instruments TI30, TI-34
and Casio
MAT 13220 Winter 2014. Wednesday, March 12 17h3018h50
Termeh Kousha
Midterm 2, Version A
Last name [CAPITAL]: First name:
Student Number :
0 Length: 80 minutes.
0 Only those calculators explicitly allowed by the Faculty of Sciences (Texas Instruments
TI30
MAT1322D Solution to Midterm lA Summer 2013
Solution to Midterm Examination 1 (version A)
MAT 1322D, Fall 2011
l. (3 marks) Use the denition of improper integrals to nd the value of improper integral
I:l+xx4dx'
Solution. (i) Let u = x2, 11' = 2x.
MAT1322 Solution to Final Examination Fall 2012
SOLUTION T0 FINAL EXAM
MAT 1322D, Fall 2012
Total = 53 marks
1. (4 marks) Determine Whether each of the following improper integrals is convergent or
divergent. If it is convergent, nd its value; if it is di
MAT 13220 Winter 2014. Wednesday, March 12 17h3018h50
Termeh Kousha
Midterm 2, Version A
Last name [CAPITAL]: First name:
Student Number :
0 Length: 80 minutes.
0 Only those calculators explicitly allowed by the Faculty of Sciences (Texas Instruments
TI30
MAT1322 Solution to Final Examination Fall 2011
SOLUTION T0 FINAL EXAM
MAT 1322D, Fall 2011
Total = 55
1. (5 marks) (a) (3 marks) Find the value of the improper integral I: x237"3 dx.
(b) (2 marks) Use comparison test to show that the improper integral [S
MAT 2384 A
Assignment # 6
due Friday, December 2nd
Find the Laplace Transform of the following:
1. e2t cos(3t)
2. u(t 1) (t2 + 3t 4)
3. tet sin(2t)
Find the Inverse Laplace Transform of the following:
6s + 2
13
5. e3s 2
4. 2
s 4s + 13
s s6
Use the Laplace
MAT 2384 A
Assignment # 4
due Friday, November 4th
Solve the following initial value problems:
ex
1. y 00 2y 0 + y = , y(1) = 2e, y 0 (1) = 4e
x
2. y 00 + y = sec x, y(0) = y 0 (0) = 1
3. x2 y 00 2xy 0 + 2y = x2 , x > 0, y(1) = 4,
y 0 (1) = 5
4. Use the d
Introduction:
A chemical reaction is a process by which a substance is expected to undergo a change or
rearrangement in its ionic level or in its molecular structure, as opposed to a physical change
that can be reversed to produce the same starting reagen
Sample Problems for Midterm # 2
Calculus 1 MAT 1320 B
1. Find the derivative of the following functions.
a) f (x) = ln (cos(x).
Solution:
f (x) =
b)
sin(x)
= tan(x).
cos(x)
f (x) = arcsin (ex ).
Solution:
f (x) =
c)
ex
.
1 e2x
10
f (x) = (tan(2x ) .
Sol
MAT 1320
Name: _
Quiz # 4
Directions: You may use any notes or the book. Please do not ask any person for help on this quiz
except for me. Put any answers on the lines provided. This quiz is out of 20 points. It is due at the
beginning of class on March 2
Sample Problems for Midterm # 2
Calculus 1 MAT 1320 B
1. Find the derivative of the following functions.
a) f (x) = ln (cos(x).
Solution:
f (x) =
b)
sin(x)
= tan(x).
cos(x)
f (x) = arcsin (ex ).
Solution:
f (x) =
c)
10
f (x) = (tan(2x ) .
Solution:
d)
e
Differentiation Formulas I Trigonometry I
d
le 0 (1)
d I I y
g [f (3:) : 9(a)] = f (3:) i9 (3:) (2)
i [k M] k - mm) (3)
d1: _
d
% [f (961996)] = f (VCR/(96) + g($)f($) (4)
d (1%) _ g($)f($) f($)g'($) (5)
d _ 2
3" 9(3") [903)]
Principles of Physics I NAME.
PHY1 32 1
MIDTERM 1
Fa112015. Oct 17
Student #
CLOSED BOOK TEST
TIME: 100minutes
Part 1. In the scantron sheet to answer all MC questions below. (Best 6 count towards 48% of your test mark)
1 A container with a one-liter ca
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Lab Day (circle):
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Tues aft
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