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1. Find the equation of the tangent line and normal line to the graph of y=√x² +3 at the point (-12)

1. Find the equation of the tangent line and normal line to the graph of y=√x² +3 at the point (-12)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Tangent Line and Normal Lines to a Curve

1. Find the equation of the tangent line and normal line to the graph of y=√√x² +3 at the point (-1, 2). 2. Find the equation of the tangent line and normal line to the graph of x-1 y at the x+1 point where x = 0. 3. Find the equation/s of the TL to 9x² +16y² = 52 which is parallel to the line 9x−8y = 1. 4. Find the equation/s of the normal line of slope 2 to the ellipse x² +2y² = 3. 5. At what point is the tangent line to the curve y = x³ +5: a) parallel to the line 12x - y = 17; b) perpendicular to the line x + 3y = 2. =
Transcribed Image Text:1. Find the equation of the tangent line and normal line to the graph of y=√√x² +3 at the point (-1, 2). 2. Find the equation of the tangent line and normal line to the graph of x-1 y at the x+1 point where x = 0. 3. Find the equation/s of the TL to 9x² +16y² = 52 which is parallel to the line 9x−8y = 1. 4. Find the equation/s of the normal line of slope 2 to the ellipse x² +2y² = 3. 5. At what point is the tangent line to the curve y = x³ +5: a) parallel to the line 12x - y = 17; b) perpendicular to the line x + 3y = 2. =
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