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1. Find the equation of tangents to the circle x² + y² = 9 with slope 1.

1. Find the equation of tangents to the circle x² + y² = 9 with slope 1.

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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Solve each problem. 1. Find the equation of tangents to the circle x? + y² = 9 with slope 1. 2. One end of the diameter of a circle with equation x² + y2 – 4x + 4y = 2 coordinates of the other end of the diameter. is (3,1) . Find the - 3. Find the equation of the circle which is tangent to the axis at (2,0) and touches the line y = 6. 4. Using completing the square, find the center and the radius of the circle 2x2 + 2y² + 8x + 4y – 3 = 0. - 5. Find the center and the radius from 3x2 + 3y2 – 12y – 8 = 0. %3D
Transcribed Image Text:Solve each problem. 1. Find the equation of tangents to the circle x? + y² = 9 with slope 1. 2. One end of the diameter of a circle with equation x² + y2 – 4x + 4y = 2 coordinates of the other end of the diameter. is (3,1) . Find the - 3. Find the equation of the circle which is tangent to the axis at (2,0) and touches the line y = 6. 4. Using completing the square, find the center and the radius of the circle 2x2 + 2y² + 8x + 4y – 3 = 0. - 5. Find the center and the radius from 3x2 + 3y2 – 12y – 8 = 0. %3D
Solve each problem. 1. Vertex at origin; Focus: (0, -). 2. Vertex: (5, –1); y- intercept: –. 32) 27 3. Opens left or right, vertex: (7, 6); passes through (-11,9) 4. Vertex at origin; Directrix: y: 1 8. 1 5. Vertex at origin; opens left; - units between the 8 vertex and focus.
Transcribed Image Text:Solve each problem. 1. Vertex at origin; Focus: (0, -). 2. Vertex: (5, –1); y- intercept: –. 32) 27 3. Opens left or right, vertex: (7, 6); passes through (-11,9) 4. Vertex at origin; Directrix: y: 1 8. 1 5. Vertex at origin; opens left; - units between the 8 vertex and focus.
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