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A small park is created inside an elliptical running field with a noticeable statue in its center. It also has two resting areas located in its foci. The longest distance across the running field is 164 meters while the resting area is 36 meters away from the statue. a) Sketch the graph of the park with the running field. (locate the statue at the origin) b) Express the elliptical running field as an equation of an ellipse. c) What is the shortest distance across the running field? d) If you're going to travel from one of the resting areas going to the running field, then going to the other resting areas, what would be the approximate distance that you will travel?

A small park is created inside an elliptical running field with a noticeable statue in its center. It also has two resting areas located in its foci. The longest distance across the running field is 164 meters while the resting area is 36 meters away from the statue. a) Sketch the graph of the park with the running field. (locate the statue at the origin) b) Express the elliptical running field as an equation of an ellipse. c) What is the shortest distance across the running field? d) If you're going to travel from one of the resting areas going to the running field, then going to the other resting areas, what would be the approximate distance that you will travel?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4. A small park is created inside an elliptical running field with a noticeable statue in its center. It also has two resting areas located in its foci. The longest distance across the running field is 164 meters while the resting area is 36 meters away from the statue. a) Sketch the graph of the park with the running field. (locate the statue at the origin) b) Express the elliptical running field as an equation of an ellipse. c) What is the shortest distance across the running field? d) If you're going to travel from one of the resting areas going to the running field, then going to the other resting areas, what would be the approximate distance that you will travel?
Transcribed Image Text:4. A small park is created inside an elliptical running field with a noticeable statue in its center. It also has two resting areas located in its foci. The longest distance across the running field is 164 meters while the resting area is 36 meters away from the statue. a) Sketch the graph of the park with the running field. (locate the statue at the origin) b) Express the elliptical running field as an equation of an ellipse. c) What is the shortest distance across the running field? d) If you're going to travel from one of the resting areas going to the running field, then going to the other resting areas, what would be the approximate distance that you will travel?
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