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2. Find the possible minimum value of the quantity x² + y² under the restriction y = 3x - 4. a) Set up the function. b) Find the minimum values of x and y. c) Find the minimum value of the quantity x² +₁ ²+y². b) d) Find the equation of the circle whose center is at the origin and that is tangent to the line y = 3x -4. HINT: 1. The radius of a circle is perpendicular to its tangent line at the tangency point. 2. The shortest distance between a point and a line is the perpendicular drawn from the point to the line. d)

2. Find the possible minimum value of the quantity x² + y² under the restriction y = 3x - 4. a) Set up the function. b) Find the minimum values of x and y. c) Find the minimum value of the quantity x² +₁ ²+y². b) d) Find the equation of the circle whose center is at the origin and that is tangent to the line y = 3x -4. HINT: 1. The radius of a circle is perpendicular to its tangent line at the tangency point. 2. The shortest distance between a point and a line is the perpendicular drawn from the point to the line. d)

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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2. Find the possible minimum value of the quantity x² + y² under the restriction y = 3x -4. a) Set up the function. b) Find the minimum values of x and y. c) Find the minimum value of the quantity x² + y². a) b) ô d) Find the equation of the circle whose center is at the origin and that is tangent to the line y = 3x -4. HINT: 1. The radius of a circle is perpendicular to its tangent line at the tangency point. 2. The shortest distance between a point and a line is the perpendicular drawn from the point to the line. d)
Transcribed Image Text:2. Find the possible minimum value of the quantity x² + y² under the restriction y = 3x -4. a) Set up the function. b) Find the minimum values of x and y. c) Find the minimum value of the quantity x² + y². a) b) ô d) Find the equation of the circle whose center is at the origin and that is tangent to the line y = 3x -4. HINT: 1. The radius of a circle is perpendicular to its tangent line at the tangency point. 2. The shortest distance between a point and a line is the perpendicular drawn from the point to the line. d)
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