Contemporary Mathematics for Business and Consumers
7th Edition
ISBN: 9781285189758
Author: Robert Brechner, George Bergeman
Publisher: Cengage Learning
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Question
Chapter 4, Problem 8CR
To determine
To fill: The blank space in the statement, “When cash is being withdrawn at the time of a deposit, a(n) ____ is required on the deposit slip.”
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A function is defined on the interval (-π/2,π/2) by this multipart rule:
if -π/2 < x < 0
f(x) =
a
if x=0
31-tan x
+31-cot x
if 0 < x < π/2
Here, a and b are constants. Find a and b so that the function f(x) is continuous at x=0.
a=
b= 3
Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a.
f(x) = (x + 4x4) 5,
a = -1
lim f(x)
X--1
=
lim
x+4x
X--1
lim
X-1
4
x+4x
5
))"
5
))
by the power law
by the sum law
lim (x) + lim
X--1
4
4x
X-1
-(0,00+(
Find f(-1).
f(-1)=243
lim (x) +
-1 +4
35
4 ([
)
lim (x4)
5
x-1
Thus, by the definition of continuity, f is continuous at a = -1.
by the multiple constant law
by the direct substitution property
Chapter 4 Solutions
Contemporary Mathematics for Business and Consumers
Ch. 4.I - Use the following blank to write a check for...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - Fill out the deposit slip for Hi-Volt Electronics...Ch. 4.I - From the following information, complete the two...Ch. 4.I - You are the owner of the Busy Bee Launderette....Ch. 4.I - Prob. 2RECh. 4.I - You have just received a check. Your account...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - Properly fill out the deposit slip for The Star...
Ch. 4.I - Properly fill out the deposit slip for Howard...Ch. 4.I - 8. From the following information, complete the...Ch. 4.I - From the following information, complete the...Ch. 4.I - 10. From the following information, complete the...Ch. 4.II - Using the form provided, reconcile the following...Ch. 4.II - 1. On April 3. Erin Gardner received her bank...Ch. 4.II - Bob Albrecht received his bank statement on July 5...Ch. 4.II - On December 2. John Leahy received his bank...Ch. 4 - 1. A(n) ___________ is a written order to a bank...Ch. 4 - On a check, the ___________ is the person or...Ch. 4 - When a(n) ___________ card is used, the amount of...Ch. 4 - 4. Write the word form of $52.45 as it would...Ch. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Attached by perforation to checks, check...Ch. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 1ATCh. 4 - 2. You have just received a check. Your account...Ch. 4 - As cashier for Cellinis Pizza, it is your...Ch. 4 - Simon Fitzrowdy checked his checking account...Ch. 4 - Prob. 5ATCh. 4 - 6. On October 1, Jessica Clay received her bank...Ch. 4 - Using the form on page 121, prepare a bank...
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