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)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.4: Relationships: Perpendicular Lines

Problem 27E

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