Calculus II for Business, Life and Social Sciences
MATH 2123

Fall 2015
Math 2123004 Name:
Quiz #7
Spring ’15 Seat:
. . . 5v2w
1. Given the functlon _](V, W) = ~6—6———2~i— , sketch the 15 and 30 contours for
— w
1 S V S 8. Be sure to label the axes and the contours.
2. The table below shows the yield of Iowa corn crops for
Calculus II for Business, Life and Social Sciences
MATH 2123

Summer 2015
Math 2123
Name:
Spring 2015
KEY
Exam I FORM A
Section #:
id#:
Instructor:
Read all questions carefully and answer them clearly and completely. Show appropriate work to receive
maximum credit. Show antiderivatives for all integrals, definite and indefinite
Calculus II for Business, Life and Social Sciences
MATH 2123

Spring 2015
k
4"<
_
FORM A
Math 2123
Spring 2010
Exam II
Name:'
id#:
'
Section _:
Instructor:
_
d,

.;

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ii
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Read all questions ciirefully and answer them Clearlyand completely. Show appropriatework to
receive maximum credit. In parl.icular,show all definite
Calculus II for Business, Life and Social Sciences
MATH 2123

Spring 2014
Math 2123 Spring 2017 Exam 11 FORM A
35
Read all questions carefully and answer them clearly and completely. Show appropriate work to
receive maximum credit. In particular, show all definite integrals whenever necessary. However,
you do NOT need to s
Calculus II for Business, Life and Social Sciences
MATH 2123

Spring 2014
Math 2123 Spring 2017 Exam I FORM B
Seat:_ m
Read all questions carefully and answer them clearly and completely. Show appropriate work to receive
maximum credit. Round model coefcients to the thousandths place, and round numerical answers to
the hund
Calculus II for Business, Life and Social Sciences
MATH 2123

Spring 2014
Math 2123 Spring 2017 Exam III FORM A
Name; Seat: E
M: in : l 'v. It"
3
: Ill 7 "3 Ll
Read all questions carefully and answer them clearly and completely. Show apprdpridte
work to receive maximum credit. If you can label an answer with units you should la
Calculus II for Business, Life and Social Sciences
MATH 2123

Summer 2015
Math 2123
Spring 2015
Name:
Exam II FORM A
Instructor:
id#:
Read all questions carefully and answer them clearly and completely. Show appropriate work to
receive maximum credit. In particular, show all definite integrals whenever necessary. However,
you d
Calculus II for Business, Life and Social Sciences
MATH 2123

Summer 2015
Math 2123 Spring 2015 Exam III FORM A
Name: KEY Section #:
id: Instructor:
Read all questions carefully and answer them clearly and completely. Show appropriate
work to receive maximum credit. If you can label an answer with units you should label it
wi
Calculus II for Business, Life and Social Sciences
MATH 2123

Summer 2015
FORM A
Math 2123
Name:
Fall 2014
KEY
Exam I
Section #:
Instructor:
id#:
Read all questions carefully and answer them clearly and completely. Show appropriate work to receive
maximum credit. Show antiderivatives for all integrals, definite and indefinite.
Calculus II for Business, Life and Social Sciences
MATH 2123

Summer 2015
Math 2123
Spring 2015
Exam III FORM A
Name:
id#:
Read all questions carefully and answer them clearly and completely. Show appropriate
work to receive maximum credit. If you can label an answer with units you should label it
with units. Round model coeffi
Calculus II for Business, Life and Social Sciences
MATH 2123

Summer 2015
Calculus for Business, Life and Social Sciences II Summer 2015
Math 2123270 MF 8:00a.m. 9:15a.m.
AH 104
Instructor: Jonathan Lee Office: PhSc 910
Phone: 3256711 email: [email protected]
PREREQUISITES
You must have completed Math 1743 or equivalent with a
Calculus II for Business, Life and Social Sciences
MATH 2123

Summer 2015
Math 2123
Spring 2015
Exam II FORM A
Name:
Section #:
id#:
Instructor:
Read all questions carefully and answer them clearly and completely. Show appropriate work to
receive maximum credit. In particular, show all definite integrals whenever necessary. How
Calculus II for Business, Life and Social Sciences
MATH 2123

Summer 2015
Math 2123
Fall 2014
Exam II FORM A
Name:
Section #:
id#:
Instructor:
Read all questions carefully and answer them clearly and completely. Show appropriate work to
receive maximum credit. In particular, show all definite integrals whenever necessary. Howev
Calculus II for Business, Life and Social Sciences
MATH 2123

Summer 2015
Math 2123
Fall 2014
Exam I FORM A
Name:
Section #:
id#:
Instructor:
Read all questions carefully and answer them clearly and completely. Show appropriate work to receive
maximum credit. Show antiderivatives for all integrals, definite and indefinite. If y
Calculus II for Business, Life and Social Sciences
MATH 2123

Summer 2015
Math 2123
Spring 2015
Exam I FORM A
Name:
Section #:
id#:
Instructor:
Read all questions carefully and answer them clearly and completely. Show appropriate work to receive
maximum credit. Show antiderivatives for all integrals, definite and indefinite. If
Calculus II for Business, Life and Social Sciences
MATH 2123

Summer 2015
Math 2123
Fall 2014
Exam III FORM A
Name:
Section #:
id#:
Instructor:
Read all questions carefully and answer them clearly and completely. Show appropriate
work to receive maximum credit. If you can label an answer with units you should label it
with unit
Calculus II for Business, Life and Social Sciences
MATH 2123

Summer 2015
Math 2123 Fall 2014 Exam III FORM A
Name: KEY Section #:
319E: Instructor:
Read all questions carefully and answer them clearly and completely. Show appropriate
work to receive maximum credit. If you can label an answer with units you should label it
wi
Calculus II for Business, Life and Social Sciences
MATH 2123

Spring 2014
Section 8.3 Constrained Optimization
Example: Find and classify the constrained optimal point of f(x, y) = x2 + 6y2 , where
g(x, y) = 5x + 8y = 62.
Solution: First set up the LaGrange system of equations:
2x = 5?
12y= 8?
5x+8y=62
We will solve the syste
Calculus II for Business, Life and Social Sciences
MATH 2123

Spring 2014
/z/ :
Math 2123004 6 Name: E .
Quiz #1 . _ 
Spring 17 Seat:
Show all necessary work to receive maximum credit. Round to the hundredths place.
1.1"ipd the exact area bounded by f(x)= 5x + 16 and the x axis on*[gg, 3].
28x2
2. Use four left rectangle
Calculus II for Business, Life and Social Sciences
MATH 2123

Spring 2014
3':
8
Math 2123004 % 0 Name:
Quiz #7
Spring 17 Seat: i
1. Given the function b(s,t) = 19s3 t 43 ln s , sketch the 30 and 60 contours
for 1 S s S 2. Be sure to label the axes and the contours. ifhn
3*? x :6 ? 7 ma it " "
QS 96 Twins  Q
l +H$Eh3 +
Solution for 5.1 #28,#50, 5.2 #2,#42,#64
$5.1 #28
10
8
6
y=2x^2
4
2
1
O
y=x^2/4
(1,2)
2
1
2
(2,1)
y=x+3
3
4
First nd the intersections. From
y = 2x2 , y = x + 3
we get (1, 2). From
y=
x2
, y = x + 3
4
we get (2, 1).
The region in question can be calculat
Calculus II for Business, Life and Social Sciences
MATH 2123

Spring 2014
Math 2123004
Quiz #2 [10
Spring 17
Show all necessary work to receive maximum credit.
1. Use the idea of a limit of sums to calculate I dx. Continue doubling N, the
In x
number 0'. eatang . ,in the following table uritil the approximation is accurate
Calculus II for Business, Life and Social Sciences
MATH 2123

Spring 2014
. 1
X
Math 2123004 5' Name: m G
Quiz #3 l 0 ' '
Spring 17 Seat: m
Show all necessary work to receive maximum credit. T l
WA]! A 3? l (
1. Recover the function F (x) given f (x) = 7.213; + and F(7) 153. 25, where
x
, ,L
H72Ixi+LLozv
7MZfX$+L0E1WHQ
F60 7 72
Calculus II for Business, Life and Social Sciences
MATH 2123

Spring 2014
Quiz #6
Spring 17 = (/49 seg:
1. The supply for Gator fourwheel offroad vehicles is modeled by:
0 thousand Gators if p < 4.85 _ _ . .
S(p) = _ where p IS the price per vehlcle, 1n
0.19p + 3.65 thousand Gators 1f p 2 4.85
thousands of dollars. Answer the
Calculus II for Business, Life and Social Sciences
MATH 2123

Spring 2014
Math 2123004
Quiz #4
Spring 17
Show all necessary work to receive maximum credit. You do no_t need to show
antiderivatives for denite integrals. Round answers to the hundredths place.
1. The number of employees working at a small company is given by
f(
Calculus II for Business, Life and Social Sciences
MATH 2123

Spring 2014
Math 2123
Spring 2013
Final Exam FORM A
Name:
Section #:
id#:
Instructor:
Read all questions carefully and answer them clearly and completely. Show appropriate
work to receive maximum credit. In general, if you can label something with units, you
should l