Find an equation for the tangent plane and normal line to the graph of the function f(x, y) = y2 In(1 + x2 + y) at the point (0, 1, In(2)). (Write the normal line as a comma separated list of parametric equations; let t be the parameter.) Tangent plane (2 In(2) +1)x + (2 In(2) + 1)(y – 1) Normal line

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Find an equation for the tangent plane and normal line to the graph of the function f(x, y) = y² In(1 + x2 + y²) at the point (0, 1, In(2)). (Write the normal line as a comma separated list of parametric equations; let t be the parameter.)
(2 ln (2) + 1)x + (2 ln(2) +1)(y – 1)
Tangent plane
Normal line
Transcribed Image Text:Find an equation for the tangent plane and normal line to the graph of the function f(x, y) = y² In(1 + x2 + y²) at the point (0, 1, In(2)). (Write the normal line as a comma separated list of parametric equations; let t be the parameter.) (2 ln (2) + 1)x + (2 ln(2) +1)(y – 1) Tangent plane Normal line
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