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 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.
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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Question
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.
Transcribed Image Text:Find the point associated with
(x, y) = (−2, 3) on the surface
generated by (x, y, z) where
= f(x, y):
-2,3,- 41
Z=
Answer format: a, b, c
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✪ Step-By-Step Example
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For fixed y = 3, the tangent
vector/direction vector is given by
the derivative of (x, y, f(x, y)) with
find the direction vector
respect to a;
when (x, y) = (–2, 3) :
3,0,9
Transcribed Image Text:What is the equation of the tangent
line to the trace of y = 3:
X
Answer format: a + bt, c+dt, e + ft
where a, b, c, d, e and f are constants
and t is the parameter.
Check Answer/Save
✪ Step-By-Step Example
Live Help
Similarly for fixed x = -
direction vector when
(x, y) = (−2, 3) :
Answer format: a, b, c
-2, find the
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