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Business Math (11th Edition)
11th Edition
ISBN: 9780134496436
Author: Cheryl Cleaves, Margie Hobbs, Jeffrey Noble
Publisher: PEARSON
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Chapter 11.1, Problem 4-2SC
To determine
To calculate: The simple interest rate of the loan of
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Let f be defined as follows.
y = f(x) = x² - 5x
(a) Find the average rate of change of y with respect to x in the following intervals.
from x = 4 to x = 5
from x = 4 to x = 4.5
from x = 4 to x = 4.1
(b) Find the (instantaneous) rate of change of y at x = 4.
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Determine whether the inverse of f(x)=x^4+2 is a function. Then, find the inverse.
Velocity of a Ball Thrown into the Air The position function of an object moving along a straight line is given by s = f(t). The average velocity of
the object over the time interval [a, b] is the average rate of change of f over [a, b]; its (instantaneous) velocity at t = a is the rate of change of f at a.
A ball is thrown straight up with an initial velocity of 128 ft/sec, so that its height (in feet) after t sec is given by s = f(t) = 128t - 16t².
(a) What is the average velocity of the ball over the following time intervals?
[3,4]
[3, 3.5]
[3, 3.1]
ft/sec
ft/sec
ft/sec
(b) What is the instantaneous velocity at time t = 3?
ft/sec
(c) What is the instantaneous velocity at time t = 7?
ft/sec
Is the ball rising or falling at this time?
O rising
falling
(d) When will the ball hit the ground?
t =
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Chapter 11 Solutions
Business Math (11th Edition)
Ch. 11.1 - Prob. 1-1SCCh. 11.1 - Prob. 1-2SCCh. 11.1 - Prob. 1-3SCCh. 11.1 - Prob. 1-4SCCh. 11.1 - Prob. 2-1SCCh. 11.1 - Prob. 2-2SCCh. 11.1 - Prob. 2-3SCCh. 11.1 - Prob. 2-4SCCh. 11.1 - Prob. 3-1SCCh. 11.1 - Prob. 3-2SC
Ch. 11.1 - Prob. 3-3SCCh. 11.1 - Prob. 3-4SCCh. 11.1 - Prob. 4-1SCCh. 11.1 - Prob. 4-2SCCh. 11.1 - Prob. 4-3SCCh. 11.1 - Prob. 4-4SCCh. 11.1 - Prob. 1SECh. 11.1 - Prob. 2SECh. 11.1 - Prob. 3SECh. 11.1 - Prob. 4SECh. 11.1 - Prob. 5SECh. 11.1 - Prob. 6SECh. 11.1 - Prob. 7SECh. 11.1 - Prob. 8SECh. 11.1 - Prob. 9SECh. 11.1 - Prob. 10SECh. 11.1 - Prob. 11SECh. 11.1 - Prob. 12SECh. 11.1 - Prob. 13SECh. 11.1 - Prob. 14SECh. 11.1 - Prob. 15SECh. 11.1 - Prob. 16SECh. 11.2 - Prob. 1-1SCCh. 11.2 - Prob. 1-2SCCh. 11.2 - Prob. 1-3SCCh. 11.2 - Prob. 1-4SCCh. 11.2 - Prob. 2-1SCCh. 11.2 - Prob. 2-2SCCh. 11.2 - Prob. 2-3SCCh. 11.2 - Prob. 2-4SCCh. 11.2 - Prob. 3-1SCCh. 11.2 - Prob. 3-2SCCh. 11.2 - Prob. 3-3SCCh. 11.2 - Prob. 3-4SCCh. 11.2 - Prob. 3-5SCCh. 11.2 - Prob. 4-1SCCh. 11.2 - Prob. 4-2SCCh. 11.2 - Prob. 4-3SCCh. 11.2 - Prob. 4-4SCCh. 11.2 - Prob. 1SECh. 11.2 - Prob. 2SECh. 11.2 - Prob. 3SECh. 11.2 - Prob. 4SECh. 11.2 - Prob. 5SECh. 11.2 - Prob. 6SECh. 11.2 - Prob. 7SECh. 11.2 - Prob. 8SECh. 11.2 - Prob. 9SECh. 11.2 - Prob. 10SECh. 11.2 - Prob. 11SECh. 11.2 - Prob. 12SECh. 11.2 - Prob. 13SECh. 11.2 - Prob. 14SECh. 11.2 - Prob. 15SECh. 11.3 - Prob. 1-1SCCh. 11.3 - Prob. 1-2SCCh. 11.3 - Prob. 1-3SCCh. 11.3 - Prob. 1-4SCCh. 11.3 - Prob. 2-1SCCh. 11.3 - Prob. 2-2SCCh. 11.3 - Prob. 2-3SCCh. 11.3 - Prob. 2-4SCCh. 11.3 - Prob. 3-1SCCh. 11.3 - Prob. 3-2SCCh. 11.3 - Prob. 3-3SCCh. 11.3 - Prob. 3-4SCCh. 11.3 - Prob. 1SECh. 11.3 - Prob. 2SECh. 11.3 - Prob. 3SECh. 11.3 - Prob. 4SECh. 11.3 - Prob. 5SECh. 11.3 - Prob. 6SECh. 11.3 - Prob. 7SECh. 11.3 - Prob. 8SECh. 11.3 - Prob. 9SECh. 11.3 - Prob. 10SECh. 11.3 - Prob. 11SECh. 11 - Prob. 1ESCh. 11 - Prob. 2ESCh. 11 - Prob. 3ESCh. 11 - Prob. 4ESCh. 11 - Prob. 5ESCh. 11 - Prob. 6ESCh. 11 - Prob. 7ESCh. 11 - Prob. 8ESCh. 11 - Prob. 9ESCh. 11 - Prob. 10ESCh. 11 - Prob. 11ESCh. 11 - Prob. 12ESCh. 11 - Prob. 13ESCh. 11 - Prob. 14ESCh. 11 - Prob. 15ESCh. 11 - Prob. 16ESCh. 11 - Prob. 17ESCh. 11 - Prob. 18ESCh. 11 - Prob. 19ESCh. 11 - Prob. 20ESCh. 11 - Prob. 21ESCh. 11 - Prob. 22ESCh. 11 - Prob. 23ESCh. 11 - Prob. 24ESCh. 11 - Prob. 25ESCh. 11 - Prob. 26ESCh. 11 - Prob. 27ESCh. 11 - Prob. 28ESCh. 11 - Prob. 29ESCh. 11 - Prob. 30ESCh. 11 - Prob. 31ESCh. 11 - Prob. 32ESCh. 11 - Prob. 33ESCh. 11 - Prob. 34ESCh. 11 - Prob. 35ESCh. 11 - Prob. 36ESCh. 11 - Prob. 37ESCh. 11 - Prob. 38ESCh. 11 - Prob. 39ESCh. 11 - Prob. 40ESCh. 11 - Prob. 41ESCh. 11 - Prob. 42ESCh. 11 - Prob. 43ESCh. 11 - Prob. 44ESCh. 11 - Prob. 45ESCh. 11 - Prob. 46ESCh. 11 - Prob. 47ESCh. 11 - Prob. 48ESCh. 11 - Prob. 49ESCh. 11 - Prob. 50ESCh. 11 - Prob. 51ESCh. 11 - Prob. 52ESCh. 11 - Prob. 53ESCh. 11 - Prob. 54ESCh. 11 - Prob. 1PTCh. 11 - Prob. 2PTCh. 11 - Prob. 3PTCh. 11 - Prob. 4PTCh. 11 - Prob. 5PTCh. 11 - Prob. 6PTCh. 11 - Prob. 7PTCh. 11 - Prob. 8PTCh. 11 - Prob. 9PTCh. 11 - Prob. 10PTCh. 11 - Prob. 11PTCh. 11 - Prob. 12PTCh. 11 - Prob. 13PTCh. 11 - Prob. 14PTCh. 11 - Prob. 15PTCh. 11 - Prob. 16PTCh. 11 - Prob. 17PTCh. 11 - Prob. 18PTCh. 11 - Prob. 19PTCh. 11 - Prob. 20PTCh. 11 - Prob. 21PTCh. 11 - Prob. 22PTCh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - Prob. 4CTCh. 11 - Prob. 5CTCh. 11 - Prob. 6CTCh. 11 - Prob. 7CTCh. 11 - Prob. 8CTCh. 11 - Prob. 1CPCh. 11 - Prob. 2CPCh. 11 - Prob. 3CPCh. 11 - Prob. 4CPCh. 11 - Prob. 1CS1Ch. 11 - Prob. 2CS1Ch. 11 - Prob. 3CS1Ch. 11 - Prob. 4CS1Ch. 11 - Prob. 1CS2Ch. 11 - Prob. 2CS2Ch. 11 - Prob. 3CS2Ch. 11 - Prob. 4CS2Ch. 11 - Prob. 1CS3Ch. 11 - Prob. 2CS3Ch. 11 - Prob. 3CS3Ch. 11 - Prob. 4CS3
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