MATH 140 Quiz 1
Professor: Dr. J. Beyers
INSTRUCTIONS
The quiz is worth 100 points. There are five problems (each worth 20 points).
This quiz is open book and open notes. This means you may refer to your
textbook, notes, and online classroom materials.
MATH 140 Quiz 3
Professor: Dr. J. Beyers
NAME:_Solutions_
INSTRUCTIONS
The quiz is worth 100 points. There are five problems (each worth 20 points).
This quiz is open book and open notes. This means you may refer to your
textbook, notes, and online classr
MATH 140 Quiz 5
Professor: Dr. J. Beyers
NAME_
INSTRUCTIONS
The quiz is worth 100 points. There are five problems (each worth 20 points).
This quiz is open book and open notes. This means you may refer to your textbook,
notes, and online classroom materia
MATH 140 Quiz 2
Professor: Dr. J. Beyers
NAME:_SOLUTIONS_
INSTRUCTIONS
The quiz is worth 100 points. There are five problems (each worth 20 points).
This quiz is open book and open notes. This means you may refer to your
textbook, notes, and online classr
MATH 140 Quiz 1
Professor: Dr. J. Beyers
NAME_SOLUTIONS_
INSTRUCTIONS
The quiz is worth 100 points. There are five problems (each worth 20 points).
This quiz is open book and open notes. This means you may refer to your
textbook, notes, and online classro
MATH 140 Quiz 4
Professor: Dr. J. Beyers
NAME_Solutions_
INSTRUCTIONS
The quiz is worth 100 points. There are five problems (each worth 20 points).
This quiz is open book and open notes. This means you may refer to your
textbook, notes, and online classro
MATH 140 Quiz 3
Professor: Dr. J. Beyers
NAME_
INSTRUCTIONS
The quiz is worth 100 points. There are five problems (each worth 20 points).
This quiz is open book and open notes. This means you may refer to your
textbook, notes, and online classroom materia
MATH 140 Quiz 1
Professor: Dr. J. Beyers
NAME_
INSTRUCTIONS
The quiz is worth 100 points. There are five problems (each worth 20 points).
This quiz is open book and open notes. This means you may refer to your textbook,
notes, and online classroom materia
MATH 140 Quiz 5
Professor: Dr. J. Beyers
NAME_
INSTRUCTIONS
The quiz is worth 100 points. There are five problems (each worth 20 points).
This quiz is open book and open notes. This means you may refer to your
textbook, notes, and online classroom materia
MATH 140 EXAM 1
Professor: Dr. J. Beyers
NAME_
INSTRUCTIONS
The exam is worth 100 points. There are 20 problems (each worth 5 points).
This quiz is open book and open notes, unlimited time. This means that you may
refer to your textbook, notes, and online
MATH 140 Quiz 4
Professor: Dr. J. Beyers
NAME_
INSTRUCTIONS
The quiz is worth 100 points. There are five problems (each worth 20 points).
This quiz is open book and open notes. This means you may refer to your
textbook, notes, and online classroom materia
5. [a] Calculate the sum of the rectangular areas in Fig. 241
[h] From part (a],wha1 can we 5a,r ahnut the area of u:
ahadad Region in Fig.14h?
03(3) +66%)
3 + :2 =5
3) M Emld (63100 IS <5 '00?
>1.
Math 140 Midterm Exam
Instructor: Elena Klimova
Name_
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
1) If f(x) =
x, g(x) =
x
, and h(x) = 3x+ 12, find f(g(h(x).
3
x + 12
A)
x+4
B)
Quiz # 2 MATH 140
Instructor: Elena Klimova
1. (i) What is the slope of the line through (1, -2)and (x,y) for y = x2 + x 2 when:
a) x = 0.98?
b) x = 1.03?
c) x = 1 + h?
(ii) What happens to this last slope when h is very small (close to 0)?
(iii) Sketch t
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=1
+1
2
Divergence test
The divergence test says that if limit of a sequence is not zero or does not exist, the sum diverges.
Here
=
+1
2
lim = lim
+1
2
1
(1 + )
lim = lim
2
1
(1 + )
lim = lim
lim =
1
(1 + )
lim =
(1 + 0)
lim =
1
lim = 0
Theref
MATH 140
Sections 6381
Spring 2014
Final Exam
Please answer all 15 questions. The maximum score for each question is
posted at the beginning of the question, and the maximum score for the
quiz is 100 points. Make sure your answers are as complete as possi
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MATH 140
Sections 6381
Spring 2014
Quiz #1
Please answer all 8 questions. The maximum score for each question is posted
at the beginning of the question, and the maximum score for the quiz is 65
points. Make sure your answers are as complete as possible a
SECTION 3-6
ans.
a.
Dy/dx=(dy/du)*(du/dx)
Dy/du=3u2
Du/dx=1/2(x)1/2
Dy/dx= 3x*1/2(x)1/2
=3x1/2/2
b.
Dy/dx=(dy/du)*(du/dx)
Dy/du=1/2(u)1/2
Du/dx=3x2
Dy/dx= =3x1/2/2
SECTION 3-7
Ans.
Put x=pi/4 and y=pi/2
Pi/4*(sin(pi)=pi/2*(cos(pi/2)
0=0
Hence the point is
Plotting the curves = 2 2 , = 2 and = 0, we have
We first find the area shaded in blue.
For limits:
2 2 = 2
2 2 = 2
= 1
We take the lower limit as = 0 since it is a constraint in the question and the upper limit as = 1.
The problem could also be done by