BLC 190: Review for Quiz 1
Practice Quiz A
1. Solve the following equation:
x2 = 8x 12
2. Solve the following equation:
x
1
= 0
x1
x+3
3. Recall that the quadratic formula is:
b
x=
b2 4ac
2a
Use the quadratic formula to solve the following equation:
5x2
ARC 190: Review for Quiz 2
Practice Quiz A
!
x4 y 2
1. Simplify:
xy 2
2. Solve the following equation:
x2/3 = 9
3. Evaluate the following: log2 (8)
4. Solve the following equation:
3x = 5
5. If f (x) = sin x and g(x) = 3x +
6. Convert
x, what is f (g(x)?
BLC 190
Name:
Homework 4
1. Use the unit circle to evaluate the following trigonometric functions. Give exact answers.
! "
! "
3
3
(a) cos
(d) sin
4
2
(b) tan
(c) sin
!
!
7
6
"
11
3
"
(e) csc
!
11
6
"
(f) cos
!
13
6
"
3
2. If sin =
, what are the possible
BLC 190
Name:
Homework 2
1. Suppose that f (x) = x3 and g(x) =
your answers as much as possible:
(a)
f (a + h) f (a)
h
(b)
g(a + h) g(a)
h
1
. Evaluate each of the following, simplifying
x+3
2. Sketch the graph of y = (x + 1)3 2
&
%
$
#
"
!& !% !$ !# !"
"
BLC 190
Name:
Homework 3
1. Convert 192 to radians. Give your answer as a fraction involving .
2. Convert
5
radians to degrees.
12
3. In the following circle, r is the radius of the circle, is the indicated angle, and L is the
length of the corresponding
Math 241
Name: _
Homework 3
1. We have seen how to use the root test to determine the convergence of exponential series. This test
8 + , but for some series this limit can be hard to compute.
involves the exponential base < lim
8
8_
In these cases, it is
Math 241
Name: _
Homework 1
_
1. One method of defining a sequence +8 8" is to specify the first term, and then give a recursive
formula for the subsequent terms. For example, the equations
+" "
and
+8 #+8" for 8 "
define the sequence e" # % ) "' f. The f
Math 241
Name: _
Homework 2
1. The Koch snowflake is the fractal shape shown in the figures to the right. The
snowflake is constructed from a large equilateral triangle, using the following
process:
i) To each side of the large triangle, attach a smaller
Math 142  Quiz 2B
October 9, 2014
You have 30 minutes to complete this quiz. No calculators or collaboration is permitted.
Show your work! Answers without supporting work will not recieve full credit. (50 points)
Evaluate the following:
113—5
(x— 1)(x2+1
Math 142A  Midterm Page 3 of 11
. (a) (10 points) Sketch the region bounded by the curves f (:1: = 11:2 and g(:13) = x3.
0 Shade the region and clearly label each curve.
00 "' \“L ’1‘ ’
f.

I
' 3‘
,\
i
Math 142A — Midterm Page 4 of 11
2. (30 points A 1600 lb elevator is suspended by a 250 ft cable that weighs 10 lb / ft. How
much work is required to raise the elevator from the basement to the thlrd ﬂoor, a
height if 50 ft?
Welcvm’or

Y
=
$( x )
$
,
By
X
=
d
($
a,
d
c
ih
p)
$
oM
"
,

b
if
lt
Scanned by CamScanner
Scanned by CamScanner
L1 t
x
T <e
,

F
.
4
of
f
w
j
1
N

r
&
(
=
1:

f(t
. \
Q
n
(W
)
O (
aJ
Y
w
f
. y
,
*
,
p
=
w
Scanned by CamScanner