Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
8th Edition
ISBN: 9781305279148
Author: Stewart, James, St. Andre, Richard
Publisher: Cengage Learning
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Chapter 10.6, Problem 2PT
To determine

To identify: The correct option for the blank in the statement, “The polar equation of the conic with eccentricity 3 and directrix x=7 is ____”.

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Show that a conic with focus at the origin, eccentricity ,and directrix y=-d  has polar equation r =ed/ 1 = e sin θ
Show that a conic with focus at the origin, eccentricity e ,and directrix x = - d has polar equation r = ed/ 1 - e cosθ
While playing at the Nawaka Sevens, four of the rugby players are observed to be located at the corners such that it makes a perfect square with sides of length d. The coach has brought about a new technique to train players and it is observed that all the players move counterclockwise at the same speed towards the next rugby player, as shown in the Figure 1 below. Find the polar equation of a rugby player’s path as it spirals towards the centre of the square.
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