Review Exam 1. Trigonometry
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Convert the angle to a decimal in degrees. Round the answer to two decimal places.
1) 6840'18'
A) 68.63
B) 68.73
C) 68.68
D)
Problems for Section 7.1.
1. A bicycle wheel rotates 44 times in 1 minute. Through how many degrees
does a point on the tip of the wheel move in 15 seconds?
2. A bicyclist's average linear speed during a race was 37 mph. His bicycle
wheel has a 17-in. dia
Review Exam 2
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the exact value of the expression.
1) sin-1 (-0.5)
A) -
6
2) cos-1 A)
1)
7
B)
3
C)
D)
6
3
3
2
5
6
2)
B)
C)
3
2
3
D)
6
Use a calculato
1
Question 1. Express the limit as a definite integral on the given interval:
lim
n
n
X
exi cos(xi )x
i=1
on the interval [1, 8].
Solution. Recall the formula
lim
n
n
X
f (xi )x =
Z
b
f (x)dx
a
i=1
Comparing the expressions above, we recognize f as given
1. Determine whether the following functions are continuous at given values of x
x2 9
, if x 3
a) f ( x) x 3
6
if x 3
, x=3
x 2 2 x 3, if x 2
b) f ( x) 2 x 3
,
,
if
x
2
x2
x if x 0
x if 0 x 1
c) f ( x)
2 x if 1 x 2
0
if x 2
x= 2
, x = 0, 1, 2
2. Fin
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MAC 2233
Homework: Logarithmic differentiation
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use logarithmic differentiation to find the derivative of y.
1) y = x(x + 4)
1)
A)
ln x + ln(x + 4)
2
B)
MAC 2233
Homework: Maximum and minimum values
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1) Identify the intervals where f (x) > 0.
1)
MULTIPLE CHOICE. Choose the one
MAC 2233
Homework: Continuity
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find all points where the function is discontinuous.
1)
1)
A) None
C) x = 1, x = 4, x = 5
B) x = 4
D) x = 1, x = 5
2)
2)
A
MAC 2233
Homework: The derivative as a limit
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the average rate of change of the function over the given interval.
1) y = 4x3 + 6x2 - 3, [-6, 2]
A) 8
MAC 2233
Homework: Limits at infinity
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the limit.
1)
lim -4 + (3/x)
x- 6 - (1/x2)
A) -
2)
B)
2
D) 3
2
3
2)
C) - 1
7
B)
D)
1
6
3
2
lim 7x - 6x + 3x
MAC 2233
Homework: The chain rule
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
1) Find the composition f[g(x)] if f(u) = u5 and g(x) = 2 - 3x2.
A) (10 - 15x2) 5
B)
MAC 2233
Homework: Derivatives involving exponential and logarithmic functions
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the derivative of the function.
1) f(x) = -8e x + 7x - 4
A) -8e x +
MAC 2233
Homework: Differentiation rules
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
1) Find f'(x) if f(x) = 3 x4 + 6 x7.
A) 4x3 + 7x6
1)
B) 7x3 + 13 x6
C) 3x5 + 7
MAC 2233
Homework: Implicit differentiation
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use implicit differentiation to find dy/dx.
1) 2xy - y 2 = 1
y
A)
x- y
2) x3 + 3x 2y + y 3 = 8
x2 + 3xy
A)
x
MAC 2233
Homework: Differentiability at a point
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Given the graph of f, find any values of x at which f is not defined.
1)
A) x = -3, 0, 3
B) x = -2, 2
C)
(0,1)
y
(-1,0)
1
(0,-1)
x (1,0)
-1
X
(0,1)
y
(-1,0)
1
(0,-1)
x (1,0)
-1
X
(0,1)
y
(-1,0)
x (1,0)
(0,-1)
(0,1)
y
(-1,0)
(0,-1)
x (1,0)
(0,1)
y
(-1,0)
x (1,0)
(0,-1)
(0,1)
y
(-1,0)
(0,-1)
x (1,0)
Lesson 1: Physical properties of Conic Sections (WB Lesson 1)
The Double-Napped Cone
Define: A double-napped cone is formed when an oblique line (generator) is rotated
about a fixed point (vertex) as shown below.
Problem 1: Label the generator, upper napp
Unit Pricing
and Currency
L9 Mat/i 10-3
Capter 1
Big Ideas:
When you have completed this chapter you will be able to
. Compare unit price of different objects
. Solve problems by determining best buy, explaining
cost as well as other factors
Compare diffe
Exam %cfw_Of / J%/&e /
Name
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Sketch the graph of the given function, its inverse, and y = x on the same set of axes. Graph the function with a solid line
Exam Mgr ML 79% 7[/ 45044
Name
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the domain of the rational function.
4x 1
Ifx =-~ U
) ( ) x2 10x + 9
A) all real numbers except 9, Li B) an real num
Similarity
Math 10-3
Chapter 6
Big Ideas:
When you have completed this chapter you will be able to
Determine if two polygons are similar using angles
Determine if two polygons are similar using
proportionate sides
Describe relations between correspond
ingfes and
Ton/affe [L mes
LO" Math 10-3
Chapter 5
Big Ideas:
When you have completed this chapter you will be able to
Name, sort and draw angles
. Replicate and. bisect angles.
Sort lines as parallel or perpendicular
Describe/Illustrate complementary and
In Class worksheet for chapter 13.3
Name_ _
name_
(print your names)
Complete the problems listed below. You may organize your work any way you wish, columns, lines, boxes, etc.
Please show your work were appropriate or write down the rule you used to sim
Exam C-xwpq'J/L cfw_)Fva Olq 7-w7ll
Name
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the solution set of the system by graphing the equations by hand. If the system is inconsistent or depende