1\/Iath 1090.003 Midterm 02 Spring 2016 / Student ID #:

advertisement
1\/Iath 1090.003 Midterm 02
Spring 2016
Student ID #:
/?
Class ID #:
lustructions:
• Remove headphones and hats during the exam.
o
Show all work as partial credit will be given where appropriate. If 110 work is shown, there
ma
be no credit given.
• All final answers should he written in the space provided 011 the exam and in siniplthecl
form. \Vlien needed, give your answer as an exact amount, i.e. a fraction or symbolic
expression, except for dollar amounts which should be rounded to the nearest cent.
o
You may ask for scratch paper. You may use only the scratch paper provided. Please
transfer all finished work onto the proper page in the test. We will not grade the work
on the scratch paper. Box your final answer to each problem and write it on the
lines in the right—hand corner, if provided!
• Scientific calculators are allowed on this exam. Absolutely no graphing calcu
lators. No other electronics are allowed.
• If your phone is out during the exam it will be considered a cheating offense
put your phone away!
PLEASE DO NOT WRITE BELOW. THE TABLE IS TO BE USED FOR GRADING.
Problem
1
2
3
4
5
6
Bonus
Total
1
Score
-
C”1
C)
C
C
-
CC
C
g
D
.
H!
II
-
H
CC
C’I
\__...___
:
C
E
U
C)
.
C”
“L—
(-
II
—
-t
v— —i
r—\
—
—
r-J
C- rn
- L____i
(—
—
(-0
—
—
—
—
-_____
—
-
I
-
I
(ID
—
C)
-4
r)
:-
-
—
cC)
—
—
r’j
—J
N
1—
-
r/)
—
-—-
—
)
I
—
‘4
I
—
-7
—
L_J
-I
cL
r
-p
,II
I
I
I
£
a
‘I
LJ
-.
—
—
-
I
:i’
cZ
0
n
—
0
-D
D
—c-I
—
rTh
Th
I
C)
—-0
-
I.
Midterm 02
I\/at1 1090.002
(Continue work from (c) if needed.)
I
-
0
—
-
0
DO
I
I
0
/
01
(ci) Check your work
using
Matrix 1\’Iultiplication to show that your solution is correct.
SHOW YOUR WORK.
ir n
3
\\
()
t
2 ft) + (
3
(Th
C)
LV
.
Ice
0
1
H4jI
1
II
L,J
/
N
(0
1-f
Co
it
U
+
I.))
>c
C)
ii
U-”
)
-j
c-fl
SL)
-
4
(1
N
L’J
cJ
LA)
0
Lf
0
0
I
-
I
1
Uk;
i-J
I
___%
H—..
-:
(7]
‘I
cm
2
0
0
0
D
2+
I
en
lj
I
00
D
1’D
cD
I\iidterin 02
Math 1090.003
Label your lines and axes.
I
I
(3)2)
2
(3.-
)
(3iO)
4
—2
—2
—4
5
Midterm 02
Math 1090.003
3. Given the matrix
121
0 1
1 —1 1
A= 3
A’.
find
I
I
4 1YVkckCI (V&iU /
130
0
(
0
[10
0
1)0111S]
2
Y
1%
I
1/10°?
°
°
/
I
‘
I
I
0
o
——
-
-
--
o
cam
-
R
I
>
o
-
-
3
o
-
0
0
i
0
)/
.
0
C
2
a
1
r
0
1
L -o
v
RrR
o
o
0
-
-
1/2
C
3
0
0
\
0
C
I(L
1
1°
0
_L’
(3
0
C)
lcD
“p
°
I
—
J
-
‘/
-‘i1
_t/
6
P1i -Iz
j
_)
I
T
_)
V
I,
o
I
-\I
I
‘i2i
2
6
-
0
‘/
-/
J
ç-Lj
cij
(f
C)
C
c-9
I
Li
C
0
-Th
0
—0
N
cI
(YI
d
oO
a3
C)
-i-i:
C
o
I
Ii
0
oCi
-J
o
cj
(I
___1
c
LT
yJ
c5
4-
C
0
F;
II ‘:‘:_J
)
1’
C
2
I
-o
-+
I’
A
I!
0
r-
-I
t-)
;.
—
-
C)
Th
-t
2
._i
c—i
—.-fl
C.
c—
c)
‘-.-
-
-
C-
II
II
p
CYD
—
-5
j
H
a
‘I’j
-
cJ
ij.
ji
-J
--
(..4J
I
f:
-i
51)
ii
1
Cr’
.
-4-
-
\J
!
+
C’
CL;
9)
fl
i—
-)
+
3
•*-
—
—
-
-1
Th
V
(J)
/-‘
N-’
>c><
—
-
-—
H
Midterm 02
Math 1090.003
6.
(a) Suppose you are given the equation Q
2 + b: + c
finding the solutions to tins equation.
=
0. Write the quadratic formula for
[15 poillI s]
X
(b) Solve the following quadratic equatioii for
I
b
I
±
5
)çZ
b-\
i
2
using any method: 3.i
—
16i + 5
=
0.
o
-
0
0
0
Ct
0
cJ
0
CD
I
-
0
4—
Q
-i--
%_i
=
2
N
1”
)
U
-I
I
.4-
x
‘—
0
‘I
0
)
-3
0
(Th
0
0
0
N
I
Ii
,—‘l
ry,
1
0
0
90
‘—4
Download