Explanation Approach: The steps written below describe how the graph of the Families of Conics is obtained. Step 1: Turn on the graphing calculator. Figure (1) Step 2:Press MODE . Using arrow buttons to navigate to POL and ENTER to select this option. This enables graphing in polar coordinates. Figure (2) If Radian is not selected then using arrow buttons navigate to Radian and ENTER to select radian mode. Step 3: Press Y= and enter the equation of the conic for e = 0.4 . Figure (3) Figure (4) Press GRAPH to plot the conic. Figure (5) The graph might appear too small or may not fit the whole screen depending on the setting for max and min values for x -axis and y -axis. To adjust these setting press WINDOW . Figure (6) Don’t adjust the settings to fit the graph to the calculator screen as we expect conic to grow wider with increasing e . We can adjust the settings after we have finished plotting the conics for all given values of e . Step 4: Press Y= and enter the equation of conic for e = 0.6 and press GRAPH . Figure (7)

4th Edition

ISBN: 9781305719781

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: PEARSON

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Question

Chapter 12.6, Problem 41E

To determine

To sketch:

The conics r=e/(1−ecosθ) with e=0.4,0.6,0.8, and 1.0 on a common screen and determine how value of e affects the shape of curve.

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Chapter 12.6, Problem 40E

Chapter 12.6, Problem 42E

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Chapter 12 Solutions

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Knowledge Booster

The conics r = e / ( 1 − e cos θ ) with e = 0.4 , 0.6 , 0.8 , and 1.0 on a common screen and determine how value of e affects the shape of curve.

Solution Summary: The author describes how the graph of the Families of Conics is obtained.

To sketch:

The conics r=e/(1−ecosθ) with e=0.4,0.6,0.8, and 1.0 on a common screen and determine how value of e affects the shape of curve.

Want to see the full answer?

Chapter 12 Solutions

The conics r = e / ( 1 − e cos θ ) with e = 0.4 , 0.6 , 0.8 , and 1.0 on a common screen and determine how value of e affects the shape of curve.

Solution Summary: The author describes how the graph of the Families of Conics is obtained.

To sketch: The conics r=e/(1−ecosθ) with e=0.4,0.6,0.8, and 1.0 on a common screen and determine how value of e affects the shape of curve.

Want to see the full answer?

Chapter 12 Solutions

To sketch:

The conics r=e/(1−ecosθ) with e=0.4,0.6,0.8, and 1.0 on a common screen and determine how value of e affects the shape of curve.