PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Differential Equations
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Question
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Chapter 5.1, Problem 76E
To determine

Tograph:The given functions in the same graph.

To tabulate data for the corresponding values along x-axis as given in the table.

To make a conjecture about y1 and y2 .

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information:

The given functions:

  y1=sec4x−sec2xy2=tan2x+tan4x

The given table:

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 5.1, Problem 76E , additional homework tip 1

Graph:

Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press Y= button.

Step 3: Enter the expressions y1=sec4x−sec2x and y2=tan2x+tan4x , which is required to graph.

Step 4: Press GRAPH button to graph the function.

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 5.1, Problem 76E , additional homework tip 2

The curve of Y1 is indicated by yellow line and the curve of Y2 is indicated by black line. Both the curves coincide.

The table shows the points corresponding to x=0.2,0.4,0.6,0.8,1.0,1.2,1.4 values for both y1 and y2 .

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 5.1, Problem 76E , additional homework tip 3

Therefore, the completed table:

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 5.1, Problem 76E , additional homework tip 4

Interpretation: From the graph, it can be observed that y1=y2 .

Previous
Chapter 5.1, Problem 75E
Next
Chapter 5.1, Problem 77E

Chapter 5 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

Ch. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
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Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY