COURSE
SYLLABUS
MAC
2233
CALCULUS FOR
BUSINESS
Spring 2014
Instructor: Mr. Rosenthal
Sections RVC and RPC
Offline Office Hours in DM 417A:
MW 10am-10:50am
Fridays noon-1pm
Phone: (305)348-2380, but the quickest way
to reach me is by email
Online Office Ho
Chapter 3 Additional Applications of the Derivative
3.1 Increasing and Decreasing Functions; Relative Extrema
2. The graph is rising for x < 3 , so the first derivative is positive. It is falling if x > 3 which indicates that the derivative is negative. 4
Student Solutions Manual
to accompany
Calculus for Business, Economics, and the Social and Life Sciences
Tenth Edition, Brief
Laurence D. Hoffman
Smith Barney
Gerald L. Bradley
Claremon McKenna College
Prepared by Devilyna Nichols Purdue University
[to be
MAC2233 Chapter 2.4 Derivatives
1.
Find the derivative of .
What is the slope of the tangent line at (2 , 4)?
tangent line at (2 , 4)?
What is the equation of the
What is the slope of the tangent line at (2 , 4 )?
y
The sign of the derivative:
10
Where th
MAC 2233 Calculus for Business
Review for Test 1
1 - If f(x) is graphed below, find
, if it exists.
lim x 1 f ( x )
2 - Find the limit:
lim ( x+ 4)
x 3
A) 7
B) 3
3 - Find the limit:
lim x 1
2x 1
x3
lim x 2
x2
x2 4
lim x 1
x 2 3x 2
x2 1
4 - Find the limit:
Review for Sections 3.1, 3.2, 3.3
1. Find all intervals where the derivative of the function shown below is negative.
2. True or False: The derivative of function shown below is negative on the interval
shown.
A) True
B) False
Page 1
3. Find all intervals
Review for Sections 2.4 and 2.5
1.
2.
3.
4.
5.
6.
7.
Find
dy
if y 3 u and u x 4 3 x 3 7 .
dx
Find
dy
if y u 3 2u 2 3 and u x 2 x 1 .
dx
Find
dy
if y u 3 2u 2 8 and u x 2 x 2 .
dx
Find
dy
if y 3 u and u x 4 8 x 3 1 .
dx
Find
1
1
dy
if y
and u
.
3u 1
x2
d
MAC 2312 Name: K C?
EXAM # 4 Form A
Read each question carefully. Be sure to provide
sufcient work to justify your answers.
Graphing calculator is not allowed
This exam has 7 problems. The value of the exam is 50
points.
Problem 1 - -> 5 points
Problem 2
MAC 2312 Name: K03
EXAM # 1 Form B
Read each question carefully. Be sure to provide
sufcient work to justify your answers.
Graphing calculator is not allowed
This exam has 10 problems. The value of the exam is 50
points.
Problem 1 - -> 3 points
Problem 2
MAC 2312 Name:
EXAM # 3 Form B
Read each question carefully. Be sure to provide
sufcient work to justify your answers.
Graphing calculator is not allowed
This exam has 10 problems. The value of the exam is 50
points.
Problem 1 - -> 5 points
Problem 2 - -
MAC 2312 Name:
EXAM # 4 Form B
Read each question carefully. Be sure to provide
sufcient work to justify your answers.
Graphing calculator is not allowed
This exam has 7 problems. The value of the exam is 50
points.
Problem 1 - -> 5 points
Problem 2 - ->
MAC 2312 Name:
EXAM # 1 Form A
Read each question carefully. Be sure to provide
sufcient work to justify your answers.
Graphing calculator is not allowed
This exam has 10 problems. The value of the exam is 50
points.
Problem 1 -> 3 points
Problem 2 - ->
MAC 2312 Name: K EC
EXAM # 3 Form A
Read each question carefully. Be sure to provide
sufcient work to justify your answers.
Graphing calculator is not allowed
This exam has 10 problems. The value of the exam is 50
points.
Problem 1 -> - 5 points
Problem 2
Review for Test 3
1. Find the absolute maximum and minimum of f ( x) x 4 8 x 2 12 on the
interval 1 x 2.
2. Determine the absolute maximum and minimum of f ( x) x 4 2 x 2 5 on the
interval 2 x 1.
3. Find the absolute minimum of the function f ( x) x3 3x 2
MAC 2312 Name: K 54
EXAM#2 FormB
Read each question carefully. Be sure to provide
sufcient work to justify your answers.
Graphing calculator is not allowed
This exam has 11 problems. The value of the exam is 50
points.
Problem 1 - -> 5 points
Problem 2 -
MAC2233 Chapter 1.9 Equations Notes
A consequence for solving equations: solving equations graphically . when we zoom in on a root (where
the graph crosses the x-axis) we know the graph in the viewing window is complete. Where we see it
clearly crossing t
MAC2233 Quiz #5a
Name_
Date_
Show All Work
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
1) Find the present value of the deposit. $500 at 15% compounded continuously for 10 years
MAC2233 Quiz #3a
Name_
Date_
Show All Work
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value.
x2
MAC2233 Quiz #2
Name_
Date_
Show All Work
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Match the graph to the function.
1)
A) y = 4-x + 1
1)
B) y =
1 -1 - x
4
C) y = 4x - 1
D) y =
1 x+1
4
Solve the
MAC2233 Quiz #1a
Name_
Date_
Show All Work
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the equation. If the solutions involve square roots, give both the exact solutions and the approximate