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An ellipsoid is a three-dimensional surface that resembles the shape of the blimps we see at sporting events. Mathematically, an equation of an ellipsoid centered at the origin of a three-dimensional coordinate system is given by = 1- b? х, a. Explain how the formula for an ellipsoid is similar to a two-dimensional formula for an ellipse centered at the origin. y ? b. The graph of can be generated using computer software (see figure). Write an equation that 36 results if z = 0. what does this equation represent? C. Write the equation that results if x = 0. What does this equation represent? d. Write the equation that results if y = 0. What does this equation represent?

An ellipsoid is a three-dimensional surface that resembles the shape of the blimps we see at sporting events. Mathematically, an equation of an ellipsoid centered at the origin of a three-dimensional coordinate system is given by = 1- b? х, a. Explain how the formula for an ellipsoid is similar to a two-dimensional formula for an ellipse centered at the origin. y ? b. The graph of can be generated using computer software (see figure). Write an equation that 36 results if z = 0. what does this equation represent? C. Write the equation that results if x = 0. What does this equation represent? d. Write the equation that results if y = 0. What does this equation represent?

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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An ellipsoid is a three-dimensional surface that resembles the shape of the blimps we see at sporting events. Mathematically, an equation of an ellipsoid centered at the origin of a three-dimensional coordinate system is given by = 1- b? х, a. Explain how the formula for an ellipsoid is similar to a two-dimensional formula for an ellipse centered at the origin. y ? b. The graph of can be generated using computer software (see figure). Write an equation that 36 results if z = 0. what does this equation represent? C. Write the equation that results if x = 0. What does this equation represent? d. Write the equation that results if y = 0. What does this equation represent?
Transcribed Image Text:An ellipsoid is a three-dimensional surface that resembles the shape of the blimps we see at sporting events. Mathematically, an equation of an ellipsoid centered at the origin of a three-dimensional coordinate system is given by = 1- b? х, a. Explain how the formula for an ellipsoid is similar to a two-dimensional formula for an ellipse centered at the origin. y ? b. The graph of can be generated using computer software (see figure). Write an equation that 36 results if z = 0. what does this equation represent? C. Write the equation that results if x = 0. What does this equation represent? d. Write the equation that results if y = 0. What does this equation represent?
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