1. Find an equation for the set of points whose distance from the plane y = 2 is the same as the distance to the point (3,4,0). Identify this surface. You do not have to sketch this surface.

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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**Instructions for Completing the Problem Set:**

1. **Show all work.**
2. **Give exact answers for all questions. NO Decimal answers allowed.**

**Note:** There are 8 problems, each worth 12.5 points.

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**Problem 1:**

Find an equation for the set of points whose distance from the plane \(y = 2\) is the same as the distance to the point \((3, 4, 0)\). Identify this surface. You do not have to sketch this surface.
Transcribed Image Text:**Instructions for Completing the Problem Set:** 1. **Show all work.** 2. **Give exact answers for all questions. NO Decimal answers allowed.** **Note:** There are 8 problems, each worth 12.5 points. --- **Problem 1:** Find an equation for the set of points whose distance from the plane \(y = 2\) is the same as the distance to the point \((3, 4, 0)\). Identify this surface. You do not have to sketch this surface.
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