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Math 114 Section 11
Midterm 1 A
February 18th 2016
Name:
Student nurnber:
1. Graphic calculators are not allowed.
2. No extra paper is allowed.
3. Phones, iPods, and other electronic devices must be turned off.
4; Talking during the exam or
Quiz 2 A Math 114 Name:
1. (5 marks) Compute the area under the curve f (x) = 8x over the interval [2,5] using the
approximation of the area by the sum of rectangles, if x; is the midpoint of the
subinterval. 52. * 5
h_ a. a a 1 a
ZSKO X4 -241 MA 7;ch X W
Quiz A B Math 11-4
1. (5 marks)
3) Sketch the. regi'ongenclosed by the (fumes x . y =. 10 and it + y '= 7.
b) Useto nd volume of the solid of revolution when the region enciosed by
the-given curves is revalvedrabout the xaxis.
. , 5
a) Xw-m 9) = 93V =9 3-
Quiz 5 B Math 114 Name:
1. (5 marks) Evaluate the following integral Isinsx c0532: dx.
W gymnaw =
=3 g ENSK (PENLPG Q03?" AX ._
ma 1 SW =
2-36
2. (5 marks) Evaluate the following integral f x2 11x
36 seczm lac, 36le - 36
am 636% 36 g gateCW-i 36;
Jc
Quiz 5 A Math 114 Name:
1. (5 marks) Evaluate the following integral I tan5x secx dx. = S'EMSX cfw_5&2; . S'CCZKCSKK
= 5. . 2
' i _ '2_ .
(WA :3: X Il:=\:ow< R 9 ('9 g 0ch 2 Sta0th 4r 8%?th
._. "ti 'tho _ JCdmgx xx
"g Ji' ? 'lC 8 + 6 4r- C
a _& $
Quiz 3 A Math 114 Name:
1. (2 marks) Suppose that the velocity function of a particle moving along a coordinate line is
120:) = 3153 + 7. Find the average velocity of the particle over the time interval 1 S t S 4-.
l
. 1 x )4 .
2. (4 marks) Evaluate
Quiz 1 A Math 114 Name:
1. (1 marks) True or False?
If C denotes a Constant of integration, the two formulas U'E
1 .
dx = arcsmx + C
\II x2
1 .
1' H142 dx arcsmx + c + 7
are both correct.
Exel clown (b com be seen as Q44? col/large \3
2. (3 marks) Sol
Sample Final Math 114
1. Determine whether the series converges, and if so find its sum
# &'(
)
.
&*+( $ )
2. Determine whether the series converges. Explain your answer.
a)
&(&,-)
)
&*( &,( &,. (&,+)
b)
) /
&*( & 1
)
&*(1
0
c)
'& )&
3. Classi
Quiz 2 B Math 114 Name:
1. cfw_5 marks) Compute the area under the curve f(x) = 2262 over the interval [3,7] using the
approximation of the area by the sum of rectangles, if x3; is the right endpoint of the
subinterval.
M) We wattL XmJ-I- t
A: JAM Zfm "
Quiz 3 B Math 114 Name:
1. (2 marks) Suppose that the velocity function of a particle moving along a coordinate line is
120:) = 5t4 + '7. Find the average velocity of the particle over the time interval 2 < t < 5.
*E
0., 1
DONG. = l
@461 SD O'chlcsr-B 2 h
Quiz 1 B Math 114 Name:
1. (1 marks) True or False?
If C denotes a constant of integration, the two formulas E (UQ
1
f-dx=ln|xl+c
x
fidx = In|x| c
are both correct.
EVQNQWOA HUM/$91 (:me Seem 61% "C gs-r Some Q,
2. (3 marks) Solve the initial- value probl
Quiz 6 B Math 114
1. (10 marks) Evaluate the following integral f x:_":1
'1?kang L 2: x71 x
at Lt-x 7,3 LKX
\ _, \ 3 \ _
23 .ka m. (valR) vamw-Bbt-Z)
A (film P; v1 (wk2.) +C x 9441) :\
(r-PQriC) 12 -L (E +2C3> - it pr :4
+Czo
2% w, c :0
Quiz Ll- A Math 114
1. (5 marks
a] Sketch :ov region enclosed by the-cuwosry = 512an 1: 53;- = 0, and x- = 1[III3 in the rst
quadrant.
cfw_ 1:) Use cylindrical shells to. nd volume of the solid-of revolution when the'region enclosed by
9
the given curves
Math 120 - Homework 2
Due on Thursday Jan 28, beginning of class
1. Consider these statements, of which the first three are premises and the fourth is a valid conclusion.
All hummingbirds are richly colored.
No large birds live on honey.
Birds that do not
Math 120 - Homework 3
Due on Thursday Feb 4, beginning of class
1. Consider the proposition if , , and are integers and | and | then |.
a. Express using quantifiers, predicates and logic connectives.
b. Prove that is true.
2. Please determine which of the
Math 120 - Homework 1
Due on Thursday Jan 21, beginning of class
1. Which of these are propositions? What are the truth values of those that are propositions?
a. Do not pass go.
b. What time is it?
c. There are no black flies in Maine.
d. 4 + = 5
e. The m
Math 120 - Homework 5
Due on Thursday Feb 18, beginning of class
1. Remember the following proposition that we have proved in class.
Proposition : Let be a positive integer. Then
20 + 21 + 22 + + 21 = 2 1.
Give an alternative proof of this proposition.
2.
Math 100 Precalculus Problem Set # 1
INSTRUCTIONS:
This problem set is for practice only and will not be graded, however,
Two of the problems will constitute the next quiz (which will be graded).
This document includes some suggested reading from the t
Math 100 Precalculus Problem Set # 9
SOLUTIONS
INSTRUCTIONS:
This problem set is for practice only and will not be graded, however,
one of the problems will appear on the next quiz (which will be graded).
This document includes some suggested reading f
Math 100 Precalculus Problem Set # 5
INSTRUCTIONS:
This problem set is for practice only and will not be graded, however, problems very
similar to some of the problems in this set may appear on the first midterm (and possibly
on subsequent exams as well)
Math 100 Precalculus Problem Set # 5
INSTRUCTIONS:
This problem set is for practice only and will not be graded, however, problems very
similar to some of the problems in this set may appear on the first midterm (and possibly
on subsequent exams as well)
Math 100 Precalculus Problem Set # 1
SOLUTIONS
INSTRUCTIONS:
This problem set is for practice only and will not be graded, however,
Two of the problems will constitute the next quiz (which will be graded).
This document includes some suggested reading
Math 100 Precalculus Problem Set # 8
SOLUTIONS
INSTRUCTIONS:
This problem set is for practice only and will not be graded, however,
one of the problems will appear on the next quiz (which will be graded).
This document includes some suggested reading f
Math 100 Precalculus Problem Set # 2
SOLUTIONS
INSTRUCTIONS:
This problem set is for practice only and will not be graded, however,
Two of the problems will constitute the next quiz (which will be graded).
This document includes some suggested reading