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Math
Mathematical Applications for the Management, Life, and Social Sciences11th Edition

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Chapter 9.3, Problem 6E
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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

Solutions

Chapter
Section
Problem 1CP
Problem 2CP
Problem 3CP
Problem 4CP
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

Given f ( x ) =   x 2 +   3 x   +   7 , find the average rate of change of f(x) over each of the following pairs of intervals.

(a) [1.9, 2] and [1.99, 2]

(b) [2, 2.1] and [2, 2.01]

(c) What do the calculations in parts (a) and (b) suggest the instantaneous rate of change of f(x) at x = 2 might be?

(a)

To determine

To calculate: The average rate of change of function f(x) if f(x)=x2+3x+7 over the intervals [1.9,2] and [1.99,2].

Explanation

Given Information:

The function f(x) is,

f(x)=x2+3x+7

Over the intervals [1.9,2] and [1.99,2].

Formula used:

If a function f(x) is defined in the interval [a,b], then its average rate of change is given by the formula,

Average rate of change=f(b)−f(a)b−a

Calculation:

Consider the function f(x),

f(x)=x2+3x+7

For the interval [1.9,2],

Substitute the values of x=1.9 in f(x) to get,

f(1.9)=(1.9)2+3(1.9)+7=3.61+5.7+7=16.31

Substitute the values of x=2 in f(x) to get,

f(2)=(2)2+3(2)+7=4+6+7=17

The average rate of change R of the function, f(x)=x2+3x+7 over the interval [1

(b)

To determine

To calculate: The average rate of change of function f(x) if f(x)=x2+3x+7 over the intervals [2,2.1] and [2,2.01].

(c)

To determine

The instantaneous rate of change of f(x) where f(x)=x2+3x+7 at x=2 based on average rate of change on the intervals [2,2.1], [2,2.01], [1.9,2] and [1.99,2].

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Sect-9.1 P-1CPSect-9.1 P-2CPSect-9.1 P-3CPSect-9.1 P-4CPSect-9.1 P-5CPSect-9.1 P-6CPSect-9.1 P-7CPSect-9.1 P-8CPSect-9.1 P-9CPSect-9.1 P-10CP
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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Simplify. 15+(x210)

Mathematics For Machine Technology

A community youth group is having a raffle to raise funds. Several community businesses have donated prizes. Th...

Mathematics: A Practical Odyssey

Workers in several industries were surveyed to determine the proportion of workers who feel their industry is u...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Explain the difference between a statistic and a parameter.

Research Methods for the Behavioral Sciences (MindTap Course List)

In this chapter we identified four scales of measurement: nominal, ordinal, interval, and ratio. a. What additi...

Research Methods for the Behavioral Sciences (MindTap Course List)

Finding a Derivative In Exercises 43-66, find the derivative of the function. y=ln|secx+tanx|

Calculus (MindTap Course List)

Converting to Polar Coordinates: In Exercises 2932, use polar coordinates to set up and evaluate the double int...

Multivariable Calculus

Practice Graph each inequality. yx

College Algebra (MindTap Course List)

Kiplingers Personal Finance Magazine rated 359 U.S. metropolitan areas to determine the best cities to live, wo...

Statistics for Business & Economics, Revised (MindTap Course List)

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