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Math
CalculusSingle Variable Calculus: Early Transcendentals, Volume I8th Edition

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Chapter 3.10, Problem 19E
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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
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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Compute ∆y and dy for the given values of x and dx = ∆x. Then sketch a diagram like Figure 5 showing the line segments with lengths dx, dy, and ∆y.

19. y = x2 – 4x. x = 3, ∆x = 0.5

To determine

To compute: The value Δy and dy for the given values of x and dx=Δx. Sketch the line segments with lengths dy,Δy and dx.

Explanation

Given:

The function is y=x2−4x. The value x=3 and Δx=0.5

Calculation:

Obtain the value of Δy.

Consider the function f(x)=x2−4x.

Δy=f(x+Δx)−f(x)

Substitute the value x=3 and Δx=0.5,

Δy=f(3+0.5)−f(3)=f(3.5)−f(3)=[(3.5)2−4(3.5)]−[32−4(3)]=[12.5−14]−[9−12]

Simplify the terms,

Δy=−1.75−(−3)=−1.75+3=1.25

Thus, the value Δy=1.25.

Obtain the value of dy.

Note that, the differential is dy=f′(x)dx

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Chapter 3.10,
Problem 18E
Chapter 3.10,
Problem 20E
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Simplify each expression in Exercises 1730, expressing your answer in positive exponent form. xy1x1

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Convert the expressions in Exercises 6584 to power form. 25x3

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Calculus: Early Transcendentals

The following scores are the ages for a random sample of n = 32 drivers who were issued parking tickets in Chic...

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

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Match the vector fields F on 3 with the plots labelled IIV. Give reasons for your choices. F(x,y,z)=i+2j+3k

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An example of the vertical-horizontal illusion is shown in the figure. Although the two lines are exactly the s...

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let f(x) = x3 + 5, g(x) = x2 2, and h(x)= 2x + 4. Find the rule for each function. 3. fg

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Solve the equations in Exercises 126. 10x(x2+1)4(x3+1)510x2(x2+1)5(x3+1)4=0

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For Problems 14-20, evaluate each algebraic expression for the given values of the variables. 5n26n+7n2+5n1 for...

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23. Write as a base e logarithm using a change-of-base formula.

Mathematical Applications for the Management, Life, and Social Sciences

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Given: ABBCDACBCDmB=50 Find: mADC

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Calculus: Early Transcendental Functions (MindTap Course List)

Sketch the region in the xy-plane. 46. {(x, y) | x 1 and y 3}

Single Variable Calculus: Early Transcendentals

For each of the following functions, find. Then show that f1(x). f(x)=7x2

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3. Consider the following polynomials over , where is written for in : . Find each of the following polyn...

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Using a binomial series, the Maclaurin series for is:

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Use a graphical utility to solve the system of equations using the rref or equivalent operation. 1.2x12.3x2+4.2...

Finite Mathematics for the Managerial, Life, and Social Sciences

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CONCEPT CHECK Growth and Decay For y=Cekt, explain why exponential growth occurs when k0 and exponential decay ...

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The top, front, and right side views of a compound-angular surface is shown in the figure. Sketch and label a r...

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Define and compute the three measures of central tendency.

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Convert 10102 to base eight.

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Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 400 n...

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Define the concept of external validity and a threat to external validity.

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