Find the equation – in any convenient form – of the tangent plane to z = x² sin(x+2y) at the point (3, 1). [Please leave all values as exact rather than numerical approximations].

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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the bottem one please

 

Consider the curve C in R³ defined by the parametric equation c(t) = (cos(t), sin(t), t). Find an
%3D
V2 v2 T
equation, in parametric form, for the tangent line to C at the point
2
4
Find the equation – in any convenient form – of the tangent plane to z = x² sin(x +2y) at the point
(3, 1). [Please leave all values as exact rather than numerical approximations].
Transcribed Image Text:Consider the curve C in R³ defined by the parametric equation c(t) = (cos(t), sin(t), t). Find an %3D V2 v2 T equation, in parametric form, for the tangent line to C at the point 2 4 Find the equation – in any convenient form – of the tangent plane to z = x² sin(x +2y) at the point (3, 1). [Please leave all values as exact rather than numerical approximations].
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