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Math
CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 1.6, Problem 26E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

Solutions

Chapter
Section
Problem 1CP
Problem 2CP
Problem 3CP
Problem 4CP
Problem 5CP
Problem 6CP
Problem 1SWU
Problem 2SWU
Problem 3SWU
Problem 4SWU
Problem 5SWU
Problem 6SWU
Problem 7SWU
Problem 8SWU
Problem 9SWU
Problem 10SWU
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
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem

Determining Continuity In Exercises 11-40, describe the interval(s) on which the function is continuous. Explain why the function is continuous on the interval(s). If the function has a discontinuity, identify the conditions of continuity that are not satisfied. See Examples 1, 2, 3, 4, and 5.

f ( x ) = 3 − x

To determine

To calculate: The interval(s) on which the function f(x)=3−x is continuous and estimate the conditions that are not satisfied, if the function f(x)=3−x has any discontinuity.

Explanation

Given Information:

The provided function is f(x)=3−x.

Formula used:

The function f is continuous at c when these three properties satisfies:

f(c) is defined.

limx→cf(x) exists.

limx→cf(x)=f(c)

Calculation:

Consider the provided function, f(x)=3−x

To check the continuity of function,

The function f(x)=3−x is defined only when the values inside the square-root is positive.

That is,

x≥0

Also, the maximum value of the real number is ∞ and any expression is not defined at point ∞. So, the domain of this function is the interval [0,∞).

Substitute 0 for x in the provided function.

f(0)=3−0=3

Therefore, the function exists at point 0.

To check the limit of function,

limx→0f(x)=limx→0(3−x)=3−0=3

Now, from the above calculation limx→0f(x)=f(0).

The provided function satisfies all the condition for x≥0

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Sect-1.1 P-1CPSect-1.1 P-2CPSect-1.1 P-3CPSect-1.1 P-4CPSect-1.1 P-5CPSect-1.1 P-6CPSect-1.1 P-7CPSect-1.1 P-8CPSect-1.1 P-1SWUSect-1.1 P-2SWU
Sect-1.1 P-3SWUSect-1.1 P-4SWUSect-1.1 P-5SWUSect-1.1 P-6SWUSect-1.1 P-7SWUSect-1.1 P-8SWUSect-1.1 P-9SWUSect-1.1 P-10SWUSect-1.1 P-1ESect-1.1 P-2ESect-1.1 P-3ESect-1.1 P-4ESect-1.1 P-5ESect-1.1 P-6ESect-1.1 P-7ESect-1.1 P-8ESect-1.1 P-9ESect-1.1 P-10ESect-1.1 P-11ESect-1.1 P-12ESect-1.1 P-13ESect-1.1 P-14ESect-1.1 P-15ESect-1.1 P-16ESect-1.1 P-17ESect-1.1 P-18ESect-1.1 P-19ESect-1.1 P-20ESect-1.1 P-21ESect-1.1 P-22ESect-1.1 P-23ESect-1.1 P-24ESect-1.1 P-25ESect-1.1 P-26ESect-1.1 P-27ESect-1.1 P-28ESect-1.1 P-29ESect-1.1 P-30ESect-1.1 P-31ESect-1.1 P-32ESect-1.1 P-33ESect-1.1 P-34ESect-1.1 P-35ESect-1.1 P-36ESect-1.1 P-37ESect-1.1 P-38ESect-1.1 P-39ESect-1.1 P-40ESect-1.2 P-1CPSect-1.2 P-2CPSect-1.2 P-3CPSect-1.2 P-4CPSect-1.2 P-5CPSect-1.2 P-6CPSect-1.2 P-7CPSect-1.2 P-1SWUSect-1.2 P-2SWUSect-1.2 P-3SWUSect-1.2 P-4SWUSect-1.2 P-5SWUSect-1.2 P-6SWUSect-1.2 P-7SWUSect-1.2 P-8SWUSect-1.2 P-9SWUSect-1.2 P-10SWUSect-1.2 P-11SWUSect-1.2 P-12SWUSect-1.2 P-13SWUSect-1.2 P-14SWUSect-1.2 P-1ESect-1.2 P-2ESect-1.2 P-3ESect-1.2 P-4ESect-1.2 P-5ESect-1.2 P-6ESect-1.2 P-7ESect-1.2 P-8ESect-1.2 P-9ESect-1.2 P-10ESect-1.2 P-11ESect-1.2 P-12ESect-1.2 P-13ESect-1.2 P-14ESect-1.2 P-15ESect-1.2 P-16ESect-1.2 P-17ESect-1.2 P-18ESect-1.2 P-19ESect-1.2 P-20ESect-1.2 P-21ESect-1.2 P-22ESect-1.2 P-23ESect-1.2 P-24ESect-1.2 P-25ESect-1.2 P-26ESect-1.2 P-27ESect-1.2 P-28ESect-1.2 P-29ESect-1.2 P-30ESect-1.2 P-31ESect-1.2 P-32ESect-1.2 P-33ESect-1.2 P-34ESect-1.2 P-35ESect-1.2 P-36ESect-1.2 P-37ESect-1.2 P-38ESect-1.2 P-39ESect-1.2 P-40ESect-1.2 P-41ESect-1.2 P-42ESect-1.2 P-43ESect-1.2 P-44ESect-1.2 P-45ESect-1.2 P-46ESect-1.2 P-47ESect-1.2 P-48ESect-1.2 P-49ESect-1.2 P-50ESect-1.2 P-51ESect-1.2 P-52ESect-1.2 P-53ESect-1.2 P-54ESect-1.2 P-55ESect-1.2 P-56ESect-1.2 P-57ESect-1.2 P-58ESect-1.2 P-59ESect-1.2 P-60ESect-1.2 P-63ESect-1.2 P-64ESect-1.2 P-65ESect-1.2 P-66ESect-1.2 P-67ESect-1.2 P-68ESect-1.2 P-69ESect-1.2 P-70ESect-1.3 P-1CPSect-1.3 P-2CPSect-1.3 P-3CPSect-1.3 P-4CPSect-1.3 P-5CPSect-1.3 P-6CPSect-1.3 P-7CPSect-1.3 P-8CPSect-1.3 P-1SWUSect-1.3 P-2SWUSect-1.3 P-3SWUSect-1.3 P-4SWUSect-1.3 P-5SWUSect-1.3 P-6SWUSect-1.3 P-7SWUSect-1.3 P-8SWUSect-1.3 P-9SWUSect-1.3 P-10SWUSect-1.3 P-1ESect-1.3 P-2ESect-1.3 P-3ESect-1.3 P-4ESect-1.3 P-5ESect-1.3 P-6ESect-1.3 P-7ESect-1.3 P-8ESect-1.3 P-9ESect-1.3 P-10ESect-1.3 P-11ESect-1.3 P-12ESect-1.3 P-13ESect-1.3 P-14ESect-1.3 P-15ESect-1.3 P-16ESect-1.3 P-17ESect-1.3 P-18ESect-1.3 P-19ESect-1.3 P-20ESect-1.3 P-21ESect-1.3 P-22ESect-1.3 P-23ESect-1.3 P-24ESect-1.3 P-25ESect-1.3 P-26ESect-1.3 P-27ESect-1.3 P-28ESect-1.3 P-29ESect-1.3 P-30ESect-1.3 P-31ESect-1.3 P-32ESect-1.3 P-33ESect-1.3 P-34ESect-1.3 P-35ESect-1.3 P-36ESect-1.3 P-37ESect-1.3 P-38ESect-1.3 P-39ESect-1.3 P-40ESect-1.3 P-41ESect-1.3 P-42ESect-1.3 P-43ESect-1.3 P-44ESect-1.3 P-45ESect-1.3 P-46ESect-1.3 P-47ESect-1.3 P-48ESect-1.3 P-49ESect-1.3 P-50ESect-1.3 P-51ESect-1.3 P-52ESect-1.3 P-53ESect-1.3 P-54ESect-1.3 P-55ESect-1.3 P-56ESect-1.3 P-57ESect-1.3 P-58ESect-1.3 P-59ESect-1.3 P-60ESect-1.3 P-61ESect-1.3 P-62ESect-1.3 P-63ESect-1.3 P-64ESect-1.3 P-65ESect-1.3 P-66ESect-1.3 P-67ESect-1.3 P-68ESect-1.3 P-69ESect-1.3 P-70ESect-1.3 P-71ESect-1.3 P-72ESect-1.3 P-73ESect-1.3 P-74ESect-1.3 P-75ESect-1.3 P-76ESect-1.3 P-77ESect-1.3 P-78ESect-1.3 P-79ESect-1.3 P-80ESect-1.3 P-81ESect-1.3 P-82ESect-1.3 P-83ESect-1.3 P-84ESect-1.3 P-85ESect-1.3 P-86ESect-1.3 P-87ESect-1.3 P-88ESect-1.3 P-89ESect-1.3 P-90ESect-1.3 P-91ESect-1.3 P-92ESect-1.3 P-1QYSect-1.3 P-2QYSect-1.3 P-3QYSect-1.3 P-4QYSect-1.3 P-5QYSect-1.3 P-6QYSect-1.3 P-7QYSect-1.3 P-8QYSect-1.3 P-9QYSect-1.3 P-10QYSect-1.3 P-11QYSect-1.3 P-12QYSect-1.3 P-13QYSect-1.3 P-14QYSect-1.3 P-15QYSect-1.3 P-16QYSect-1.3 P-17QYSect-1.3 P-18QYSect-1.3 P-19QYSect-1.3 P-20QYSect-1.3 P-21QYSect-1.3 P-22QYSect-1.4 P-1CPSect-1.4 P-2CPSect-1.4 P-3CPSect-1.4 P-4CPSect-1.4 P-5CPSect-1.4 P-6CPSect-1.4 P-7CPSect-1.4 P-8CPSect-1.4 P-1SWUSect-1.4 P-2SWUSect-1.4 P-3SWUSect-1.4 P-4SWUSect-1.4 P-5SWUSect-1.4 P-6SWUSect-1.4 P-7SWUSect-1.4 P-8SWUSect-1.4 P-9SWUSect-1.4 P-10SWUSect-1.4 P-11SWUSect-1.4 P-12SWUSect-1.4 P-1ESect-1.4 P-2ESect-1.4 P-3ESect-1.4 P-4ESect-1.4 P-5ESect-1.4 P-6ESect-1.4 P-7ESect-1.4 P-8ESect-1.4 P-9ESect-1.4 P-10ESect-1.4 P-11ESect-1.4 P-12ESect-1.4 P-13ESect-1.4 P-14ESect-1.4 P-15ESect-1.4 P-16ESect-1.4 P-17ESect-1.4 P-18ESect-1.4 P-19ESect-1.4 P-20ESect-1.4 P-21ESect-1.4 P-22ESect-1.4 P-23ESect-1.4 P-24ESect-1.4 P-25ESect-1.4 P-26ESect-1.4 P-27ESect-1.4 P-28ESect-1.4 P-29ESect-1.4 P-30ESect-1.4 P-31ESect-1.4 P-32ESect-1.4 P-33ESect-1.4 P-34ESect-1.4 P-35ESect-1.4 P-36ESect-1.4 P-37ESect-1.4 P-38ESect-1.4 P-39ESect-1.4 P-40ESect-1.4 P-41ESect-1.4 P-42ESect-1.4 P-43ESect-1.4 P-44ESect-1.4 P-45ESect-1.4 P-46ESect-1.4 P-47ESect-1.4 P-48ESect-1.4 P-49ESect-1.4 P-50ESect-1.4 P-51ESect-1.4 P-52ESect-1.4 P-53ESect-1.4 P-54ESect-1.4 P-55ESect-1.4 P-56ESect-1.4 P-57ESect-1.4 P-58ESect-1.4 P-59ESect-1.4 P-60ESect-1.4 P-61ESect-1.4 P-62ESect-1.4 P-63ESect-1.4 P-64ESect-1.4 P-65ESect-1.4 P-66ESect-1.4 P-67ESect-1.4 P-68ESect-1.4 P-69ESect-1.4 P-70ESect-1.4 P-71ESect-1.4 P-72ESect-1.4 P-73ESect-1.4 P-74ESect-1.4 P-75ESect-1.4 P-76ESect-1.4 P-77ESect-1.4 P-78ESect-1.4 P-79ESect-1.4 P-80ESect-1.4 P-81ESect-1.4 P-82ESect-1.4 P-83ESect-1.4 P-84ESect-1.4 P-85ESect-1.5 P-1CPSect-1.5 P-2CPSect-1.5 P-3CPSect-1.5 P-4CPSect-1.5 P-5CPSect-1.5 P-6CPSect-1.5 P-7CPSect-1.5 P-8CPSect-1.5 P-9CPSect-1.5 P-10CPSect-1.5 P-11CPSect-1.5 P-1SWUSect-1.5 P-2SWUSect-1.5 P-3SWUSect-1.5 P-4SWUSect-1.5 P-5SWUSect-1.5 P-6SWUSect-1.5 P-7SWUSect-1.5 P-8SWUSect-1.5 P-9SWUSect-1.5 P-10SWUSect-1.5 P-11SWUSect-1.5 P-12SWUSect-1.5 P-13SWUSect-1.5 P-14SWUSect-1.5 P-1ESect-1.5 P-2ESect-1.5 P-3ESect-1.5 P-4ESect-1.5 P-5ESect-1.5 P-6ESect-1.5 P-7ESect-1.5 P-8ESect-1.5 P-9ESect-1.5 P-10ESect-1.5 P-11ESect-1.5 P-12ESect-1.5 P-13ESect-1.5 P-14ESect-1.5 P-15ESect-1.5 P-16ESect-1.5 P-17ESect-1.5 P-18ESect-1.5 P-19ESect-1.5 P-20ESect-1.5 P-21ESect-1.5 P-22ESect-1.5 P-23ESect-1.5 P-24ESect-1.5 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P-2ESect-1.6 P-3ESect-1.6 P-4ESect-1.6 P-5ESect-1.6 P-6ESect-1.6 P-7ESect-1.6 P-8ESect-1.6 P-9ESect-1.6 P-10ESect-1.6 P-11ESect-1.6 P-12ESect-1.6 P-13ESect-1.6 P-14ESect-1.6 P-15ESect-1.6 P-16ESect-1.6 P-17ESect-1.6 P-18ESect-1.6 P-19ESect-1.6 P-20ESect-1.6 P-21ESect-1.6 P-22ESect-1.6 P-23ESect-1.6 P-24ESect-1.6 P-25ESect-1.6 P-26ESect-1.6 P-27ESect-1.6 P-28ESect-1.6 P-29ESect-1.6 P-30ESect-1.6 P-31ESect-1.6 P-32ESect-1.6 P-33ESect-1.6 P-34ESect-1.6 P-35ESect-1.6 P-36ESect-1.6 P-37ESect-1.6 P-38ESect-1.6 P-39ESect-1.6 P-40ESect-1.6 P-41ESect-1.6 P-42ESect-1.6 P-43ESect-1.6 P-44ESect-1.6 P-45ESect-1.6 P-46ESect-1.6 P-47ESect-1.6 P-48ESect-1.6 P-49ESect-1.6 P-50ESect-1.6 P-51ESect-1.6 P-52ESect-1.6 P-53ESect-1.6 P-54ESect-1.6 P-55ESect-1.6 P-56ESect-1.6 P-57ESect-1.6 P-58ESect-1.6 P-59ESect-1.6 P-60ESect-1.6 P-61ESect-1.6 P-62ESect-1.6 P-63ESect-1.6 P-64ESect-1.6 P-65ESect-1.6 P-66ESect-1.6 P-67ESect-1.6 P-68ESect-1.6 P-69ECh-1 P-1RECh-1 P-2RECh-1 P-3RECh-1 P-4RECh-1 P-5RECh-1 P-6RECh-1 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Form Problem: Fireflies Suppose you air conducting a study to compare firefly populations exposed to normal day...

Understanding Basic Statistics

A population of N = 15 scores has SX = 120. What is the population mean?

Statistics for The Behavioral Sciences (MindTap Course List)

Given that limx2f(x)=4limx2g(x)=2limx2h(x)=0 find the limits that exist. If the limit does not exist, explain w...

Single Variable Calculus

Simplify each expression in Exercises 1730, expressing your answer in positive exponent form. x4x1

Finite Mathematics

Suppose that when the pH of a certain chemical compound is 5.00, the pH measured by a randomly selected beginni...

Probability and Statistics for Engineering and the Sciences

55. Course grades To earn an A in a course, a student must get at least a 90 average on four tests and a final ...

Mathematical Applications for the Management, Life, and Social Sciences

In Exercises 13 to 22, insert either or in the blank space between the sets to make a true statement. {all sa...

Mathematical Excursions (MindTap Course List)

For Problems 1-10, answer true or false. If 4 = x 3, then x 3 = 4 is an example of the symmetric property of ...

Intermediate Algebra

Find R'(0), where R(x)=x3x3+5x51+3x3+6x6+9x9 Hint: Instead of finding R'(x) first, let f(x) be the numerator an...

Single Variable Calculus: Early Transcendentals

Use Exhibit 20-5, Corporate Bond Quotation Table, on page 687 to fill in the blanks for Exercises 1-10. 9. Me...

Contemporary Mathematics for Business & Consumers

Label each of the following statements as either true or false. 3. Let where A and B are nonempty. Then for e...

Elements Of Modern Algebra

For regular hexagon ABCDEF, a are quadrilateral ABCF and quadrilateral EDCF congruent? b is FC parallel to AB a...

Elementary Geometry For College Students, 7e

Find all degree solutions to the following equations. cos(A+12)=22

Trigonometry (MindTap Course List)

Express each rate in lowest terms: 363h

Elementary Technical Mathematics

Vibrating String A string stretched between the two points (0, 0) and (2,0) is plucked by displacing the string...

Calculus of a Single Variable

Finding an Indefinite Integral In Exercises 3-22, find the indefinite integral. x2(x+1)2+4dx

Calculus: Early Transcendental Functions (MindTap Course List)

A fair is coin tossed 20 times. What is the probability of obtaining: a. Fewer than 8 heads b. More than 8 head...

Finite Mathematics for the Managerial, Life, and Social Sciences

Use Herons Formula, A=s(sa)(sb)(sc), to find the exact area of a triangle that has lengths of sides 4 cm, 13 cm...

Elementary Geometry for College Students

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