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Math
CalculusSingle Variable Calculus: Early Transcendentals, Volume I8th Edition

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Chapter 3.9, Problem 17E
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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

Solutions

Chapter
Section
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
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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Two cars start moving from the same point. One travels south at60 mi/h and the other travels west at 25 mi/h. At what rate is the distance between the cars increasing two hours later?

To determine

To find: At what rate the distance between the cars increasing two hours later.

Explanation

Given:

Two cars start moving from the same point.

One car travel towards South at 60 mi/h and another travel towards West at 25 mi/h.

That is, dxdt=60  mi/h and dydt=25  mi/h.

Formula used:

Pythagorean Theorem

Calculation:

Let x is the distance travelled by first car toward West and reach to the point C and y is the distance travelled by second car toward South and reach to the point B as shown in the Figure 1 given below.

The position of both cars is shown in the given below Figure-1 after two hours later.

Let z be the distance between the cars after two hours later as shown the above figure-1.

Then by using the Pythagorean Theorem

z2=x2+y2

Since x and y both changes with the time t, z also changes with time.

Obtain the position of cars two hours later:

Distance travelled by the first car toward West direction is

x=2(60)=120

Distance travelled by the second car toward South direction is:

y=2(25)=50

Therefore, distance between the both cars two hours later is

z=(120)2+(50)2=14,400+2,500=16,900=130

Differentiate z2=x2+y2 with respect to the time t

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Chapter 3.9,
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Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or gi...

Calculus: Early Transcendentals

Solve the following problems. a. After 8 points are added to each score in a sample, the mean is found to be M ...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

A random sample of 100 patients treated in a program for alcoholism and drug dependency over the past 10 years ...

Essentials Of Statistics

Use a computer to graph the function using various domains and viewpoints. Get a printout of one that, in your ...

Calculus (MindTap Course List)

In Exercises 68 and 69, determine whether the given points lie on a straight line. 69. A(2, 1), B(1, 7), and C(...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Terminology Consider the following measures of central tendency: mean, median, mode. Match each type to the app...

Understanding Basic Statistics

Find the X value corresponding to z=0.25 of the following distributions. =40and=4 =40and=8 =40and=16 =40and=32

Statistics for The Behavioral Sciences (MindTap Course List)

Given that limx2 (5x 7) = 3, illustrate Definition 2 by finding values of that correspond to = 0.1, = 0.05,...

Single Variable Calculus

Solve the equations in Exercises 126. 2(x21)x2+1x4x2+1x2+1=0

Finite Mathematics

In Exercises 1 to 20, let U = {1, 2, 3, 4, 5, 6, 7, 8}, A= {2, 4,6}, B = {1, 2,5,8}, and C = {1, 3, 7}. Find ea...

Mathematical Excursions (MindTap Course List)

For Problems 3-11, simplify each numerical expression. (6)3(2)8(4)

Intermediate Algebra

In problems 23-58, perform the indicated operations and simplify. 51.

Mathematical Applications for the Management, Life, and Social Sciences

Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). C...

Probability and Statistics for Engineering and the Sciences

How many terms of the series n=21/[n(lnn)2] would you need to add to find its sum to within 0.01?

Single Variable Calculus: Early Transcendentals

Express each ratio in lowest terms: 1812214

Elementary Technical Mathematics

Let be a polynomial of positive degree with integral coefficients. If there exists a prime integer such that ...

Elements Of Modern Algebra

Given: m1=71m2=33 Find: mCE and mBD Exercises 16, 17

Elementary Geometry For College Students, 7e

From the frequency distribution prepared in Try It Exercise 16 for The Dress Code Boutique, calculate the mean ...

Contemporary Mathematics for Business & Consumers

Use the graphs you made in Problems 13 through 18 to find all values of x,0x2, for which the following are true...

Trigonometry (MindTap Course List)

Writing a Definite Integral In Exercises 13-22, write a definite integral that represents the area of the regio...

Calculus of a Single Variable

Using the Three-Dimensional Coordinate System In Exercises 13-24, determine the location of a point (x,y,z) tha...

Calculus: Early Transcendental Functions (MindTap Course List)

For Review Exercises 19 to 24, decide whether the statements are always true A, sometimes true S, or never true...

Elementary Geometry for College Students

SAVINGS ACCOUNTS Kim invested a sum of money 4 years ago in a savings account that has since paid interest at t...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding Unit Vectors In Exercises 67-72, find a unit vector (a) parallel to and (b) perpendicular to the graph ...

Multivariable Calculus

Famous Curve The graph of the pear-shaped quartic b2y2=x3(ax),a,b0 is shown above. (a) Explain how you could us...

Calculus (MindTap Course List)

Probability Find k such that the function f(x,y)={ke(x2+y2),x0,y00,elsewhere is a probability density function.

Calculus

. ∞ −∞ 1 −1

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

The area of the region at the right is:

Study Guide for Stewart's Multivariable Calculus, 8th

The Internal Revenue Service (IRS) provides a toll-free help line for taxpayers to call inand get answers to qu...

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

A Bloomberg Businessweek North American subscriber study collected data from a sample of 2861 subscribers. Fift...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Describe the basic characteristics of a pre-post design and explain why these designs are not true experiments.

Research Methods for the Behavioral Sciences (MindTap Course List)

Solve each of the following equations using the subtraction principle of equality. Check each answer. x+1318=10

Mathematics For Machine Technology

Department store order The buyer for a large department store must order 40 coats, some fake fur and some leath...

College Algebra (MindTap Course List)

Describe a distribution of scores that has a mean of M = 30 and a standard deviation of SD = 6. (Where are the ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Because of safety considerations, in May 2003 the Federal Aviation Administration (FAA) changed its guidelines ...

Introduction To Statistics And Data Analysis

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