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Find equations for the tangent line and normal line to the circle at each given point. (The normal line at a point is perpendicular to the tangent line at the point.) Use a graphing utility to graph the equation, the tangent lines, and the normal lines. x² + y² = 25 (4,3), (3, 4) At (4,3)

Find equations for the tangent line and normal line to the circle at each given point. (The normal line at a point is perpendicular to the tangent line at the point.) Use a graphing utility to graph the equation, the tangent lines, and the normal lines. x² + y² = 25 (4,3), (3, 4) At (4,3)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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At (3, 4) 10- 101 8- 8 y y 4 4 2 23 蛋黄 -10 8-6-4-20 A 6 2 -20 2 4 6 8 10 -6 8 10 x -2- -2 4 -4 -6- -6 -8- -8- -10- O -10- 10: 8 4 2 6-20 4 6 8 10 -2 4 -6 -8- -10- Tangent line: y = Normal line: y = Need Help? Read It Show My Workou 1 10 8 4 2 -10-8-6-4-203 2 4 -2- -6- -8- -10- y 10 Watch It 6 8 10 O -10-8-6-4 2
Transcribed Image Text:At (3, 4) 10- 101 8- 8 y y 4 4 2 23 蛋黄 -10 8-6-4-20 A 6 2 -20 2 4 6 8 10 -6 8 10 x -2- -2 4 -4 -6- -6 -8- -8- -10- O -10- 10: 8 4 2 6-20 4 6 8 10 -2 4 -6 -8- -10- Tangent line: y = Normal line: y = Need Help? Read It Show My Workou 1 10 8 4 2 -10-8-6-4-203 2 4 -2- -6- -8- -10- y 10 Watch It 6 8 10 O -10-8-6-4 2
Find equations for the tangent line and normal line to the circle at each given point. (The normal line at a point is perpendicular to the tangent line at the point.) Use a graphing utility to graph the equation, the tangent lines, and the normal lines. x2 + y2 = 25 (4,3), (-3, 4) At (4, 3) 本来 -10-86-4 24 61 8-10 -4- 4 -10 0 0 我 -106-20 2 4 6 8 10 -10 茶 -1086-3 Tangent line:y = Normal line: y = 24 6 8 10 y = 3x + 25
Transcribed Image Text:Find equations for the tangent line and normal line to the circle at each given point. (The normal line at a point is perpendicular to the tangent line at the point.) Use a graphing utility to graph the equation, the tangent lines, and the normal lines. x2 + y2 = 25 (4,3), (-3, 4) At (4, 3) 本来 -10-86-4 24 61 8-10 -4- 4 -10 0 0 我 -106-20 2 4 6 8 10 -10 茶 -1086-3 Tangent line:y = Normal line: y = 24 6 8 10 y = 3x + 25
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