Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. z = e³⁰ sin(3x); P(1,0,1) NOTE: Enter the exact answer. Tangent plane: Normal line: x(t) = = y(t) = z(t) = 1 t =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find an equation for the tangent plane and parametric equations
for the normal line to the surface at the point P.
z = e³ sin(3x); P(7,0,1)
NOTE: Enter the exact answer.
Tangent plane:
Normal line:
x (t)
=
y(t)
z(t) = 1-t
=
Transcribed Image Text:Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. z = e³ sin(3x); P(7,0,1) NOTE: Enter the exact answer. Tangent plane: Normal line: x (t) = y(t) z(t) = 1-t =
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