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 (3, -4), (-4, -3) At (3, -4) 12 2 -10 -8 -6. -2 2 -10 -8 -6 -4 -20 2 IA -10 10 -10 -8-64 -2 2 4 6 -10 -8-6-4 -2 0 2 -6 -10 Tangent line: y = Normal line: y-

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 (-4, -3)
10
10
8
8
y
4
2
-10 -8
4-2
-2
2
4
10
-10 -8
-2.
2
6
8.
10
-6
-10
-10
10
10
8
8
6
2
2
-10
-6
4
10
-10
-6-4
2
4
6
8
10
-6
-8
-8
-10
-10
Tangent line: y =
Normal line: y =
Transcribed Image Text:At (-4, -3) 10 10 8 8 y 4 2 -10 -8 4-2 -2 2 4 10 -10 -8 -2. 2 6 8. 10 -6 -10 -10 10 10 8 8 6 2 2 -10 -6 4 10 -10 -6-4 2 4 6 8 10 -6 -8 -8 -10 -10 Tangent line: y = Normal line: y =
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
(3, -4), (-4, -3)
At (3, -4)
10
10
2
2
-10 -8 -6 4 -2 0
6
810
-10 -8 -6
-2 0
10
-2
-2
4-
6
-6
-8
-8
-10
-10
10
10
8
6.
41
4
-10 -8 -6-4
-2 0
46
10
-10 -8 -6-4 -2 0
A 68 10
-2
-4
-8
-8
-10
-10
Tangent line: y =
Normal line: y =
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 (3, -4), (-4, -3) At (3, -4) 10 10 2 2 -10 -8 -6 4 -2 0 6 810 -10 -8 -6 -2 0 10 -2 -2 4- 6 -6 -8 -8 -10 -10 10 10 8 6. 41 4 -10 -8 -6-4 -2 0 46 10 -10 -8 -6-4 -2 0 A 68 10 -2 -4 -8 -8 -10 -10 Tangent line: y = Normal line: y =
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage