The line segment from (1, −1, 3) to (0, −3, 1) forms a diameter of the sphere S1. Find the center-radius form of the equation of S1.Consider the parabola E : x = z2 − 4 in the xz-plane.Give an equation for the surface of revolution generated when E is revolved about the x-axis.Sketch the portion of the graph of the cylinder whose equation is the same as E in between the xz-plane and the plane y = 4. Label all important points such as intercepts, vertices of parabolas and hyperbolas, endpoints of the major and minor axes of ellipses, and end- points of traces.

We need to find equation of sphere. NOTE - As per Bartleby's guidelines we can solve only one…

Answered: The line segment from (1, −1, 3) to (0,…

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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The line segment from (1, −1, 3) to (0, −3, 1) forms a diameter of the sphere S₁. Find the center-radius form of the equation of S₁.
Consider the parabola E : x = z² − 4 in the xz-plane.

- Give an equation for the surface of revolution generated when E is revolved about the x-axis.
- Sketch the portion of the graph of the cylinder whose equation is the same as E in between the xz-plane and the plane y = 4. Label all important points such as intercepts, vertices of parabolas and hyperbolas, endpoints of the major and minor axes of ellipses, and end- points of traces.

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