Consider the following: point P(1, -2, 5) • plane π: 3x + 2y - z = 8 • line : x = 5 + 8t, y = 4, z = 2 - 2t. 1. Identify the equation of the sphere centered at P that is tangent to the plane T. 2. Find the point of intersection of I and T. 3. Give symmetric and parametric equations of the lone through P perpendicular to the plane T. 4. Identify the general equation of the plane containing the point P and the line l.

Consider the following: point P(1, -2, 5) • plane π: 3x + 2y - z = 8 • line : x = 5 + 8t, y = 4, z = 2 - 2t. 1. Identify the equation of the sphere centered at P that is tangent to the plane T. 2. Find the point of intersection of I and T. 3. Give symmetric and parametric equations of the lone through P perpendicular to the plane T. 4. Identify the general equation of the plane containing the point P and the line l.

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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