Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

4th Edition

ISBN: 9780133178579

Author: Ross L. Finney

Publisher: PEARSON

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Question

Chapter 1.1, Problem 27E

(a)

To determine

To find: The slope of the equation 3x+4y=12 .

(a)

Expert Solution

Answer to Problem 27E

The slope of the equation is −34 .

Explanation of Solution

Given information: The equation is 3x+4y=12 .

Calculation:

Write the equation 3x+4y=12 in slope intercepts form.

3x+4y=124y=−3x+12y=−34x+3

Compare the equation y=−34x+3 with y=mx+b to find the slope.

m=−34

Therefore, the slope of the equation is −34 .

(b)

To determine

To find: The y-intercept of the equation 3x+4y=12 .

(b)

Expert Solution

Answer to Problem 27E

The y -intercept of the given equation is 3 .

Explanation of Solution

Given information: The equation is 3x+4y=12 .

Calculation:

Substitute 0 for x in the equation 3x+4y=12 to find the y -intercept.

3(0)+4y=124y=12y=124=3

Therefore, the y -intercept of the given equation is 3 .

(c)

To determine

To plot: The graph of the equation 3x+4y=12 .

(c)

Expert Solution

Explanation of Solution

Given information: The equation is 3x+4y=12 .

Calculation:

Use the following step to graph the parametric equations by graphing calculator.

Step 1: First press the “ON” button on graphical calculator.

Step 2: Press Y= and set the equation y=−34x+3 by pressing the keystrokes ((−)3÷4)X+3 .

Step 3: Press GRAPH to obtain the graph of the equations and the window can be set to [−10, 10] by [−10, 10] as shown below.

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 1.1, Problem 27E

Figure (1)

Interpretation: From the graph it can be observed that the equation 3x+4y=12 intersects the x -axis at (4, 0) and y -axis at (0, 3) .

Chapter 1.1, Problem 26E

Chapter 1.1, Problem 28E

Chapter 1 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

Ch. 1.1 - Prob. 1QR Ch. 1.1 - Prob. 2QR Ch. 1.1 - Prob. 3QR Ch. 1.1 - Prob. 4QR Ch. 1.1 - Prob. 5QR Ch. 1.1 - Prob. 6QR Ch. 1.1 - Prob. 7QR Ch. 1.1 - Prob. 8QR Ch. 1.1 - Prob. 9QR Ch. 1.1 - Prob. 10QR

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - 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Prob. 61E Ch. 1.6 - Prob. 62E Ch. 1.6 - Prob. 1QQ Ch. 1.6 - Prob. 2QQ Ch. 1.6 - Prob. 3QQ Ch. 1.6 - Prob. 4QQ Ch. 1 - Prob. 1RE Ch. 1 - Prob. 2RE Ch. 1 - Prob. 3RE Ch. 1 - Prob. 4RE Ch. 1 - Prob. 5RE Ch. 1 - Prob. 6RE Ch. 1 - Prob. 7RE Ch. 1 - Prob. 8RE Ch. 1 - Prob. 9RE Ch. 1 - Prob. 10RE Ch. 1 - Prob. 11RE Ch. 1 - Prob. 12RE Ch. 1 - Prob. 13RE Ch. 1 - Prob. 14RE Ch. 1 - Prob. 15RE Ch. 1 - Prob. 16RE Ch. 1 - Prob. 17RE Ch. 1 - Prob. 18RE Ch. 1 - Prob. 19RE Ch. 1 - Prob. 20RE Ch. 1 - Prob. 21RE Ch. 1 - Prob. 22RE Ch. 1 - Prob. 23RE Ch. 1 - Prob. 24RE Ch. 1 - Prob. 25RE Ch. 1 - Prob. 26RE Ch. 1 - Prob. 27RE Ch. 1 - Prob. 28RE Ch. 1 - Prob. 29RE Ch. 1 - Prob. 30RE Ch. 1 - Prob. 31RE Ch. 1 - Prob. 32RE Ch. 1 - Prob. 33RE Ch. 1 - Prob. 34RE Ch. 1 - Prob. 35RE Ch. 1 - Prob. 36RE Ch. 1 - Prob. 37RE Ch. 1 - Prob. 38RE Ch. 1 - Prob. 39RE Ch. 1 - Prob. 40RE Ch. 1 - Prob. 41RE Ch. 1 - Prob. 42RE Ch. 1 - Prob. 43RE Ch. 1 - Prob. 44RE Ch. 1 - Prob. 45RE Ch. 1 - Prob. 46RE Ch. 1 - Prob. 47RE Ch. 1 - 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The slope of the equation 3 x + 4 y = 12 .

Concept explainers

Videos

To find: The slope of the equation 3x+4y=12 .

Answer to Problem 27E

Explanation of Solution

To find: The y-intercept of the equation 3x+4y=12 .

Answer to Problem 27E

Explanation of Solution

To plot: The graph of the equation 3x+4y=12 .

Explanation of Solution

Chapter 1 Solutions

Additional Math Textbook Solutions