Find the equations of the tangent lines to the traces of z=f(x,y)=16−3x^2−5y^2 at (−2,3).What is the equation of the tangent line to the trace of x=−2: Answer format: a+bt,c+dt,e+ft where a,b,c,d,e and f are constants and t is the parameter. Find the point associated with(x, y) = (−2, 3) on the surfacegenerated by (x, y, z) where= f(x, y):-2,3,- 41Z=Answer format: a, b, cCheck Answer/Save✪ Step-By-Step ExampleLive HelpFor fixed y = 3, the tangentvector/direction vector is given bythe derivative of (x, y, f(x, y)) withfind the direction vectorrespect to a;when (x, y) = (–2, 3) :3,0,9 What is the equation of the tangentline to the trace of y = 3:XAnswer format: a + bt, c+dt, e + ftwhere a, b, c, d, e and f are constantsand t is the parameter.Check Answer/Save✪ Step-By-Step ExampleLive HelpSimilarly for fixed x = -direction vector when(x, y) = (−2, 3) :Answer format: a, b, c-2, find the

Answered: Image /qna-images/answer/324911ec-796b-40f2-be51-9a9131568602.jpgThat completes the solution. Hope this helps. Kindly upvote if you find this helpful.Thank you.

Answered: Find the equations of the tangent lines…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find the equations of the tangent lines to the traces of z=f(x,y)=16−3x^2−5y^2 at (−2,3). What is the equation of the tangent line to the trace of x=−2: Answer format: a+bt,c+dt,e+ft where a,b,c,d,e and f are constants and t is the parameter.