Curve tangent to a surface Show that the curve
Chapter , Problem 10AAE(choose chapter or problem)
Curve tangent to a surface Show that the curve
\(r(t)=\left(\frac{t^{3}}{4}\ -\ 2\right) i\ +\ \left(\frac{4}{t}\ -\ 3\right) j\ +\ \cos (t\ -\ 2) k\)
is tangent to the surface
\(x^{3}\ +\ y^{3}\ +\ z^{3}\ -\ x y z=0\)
at (0, -1, 1).
Equation Transcription:
Text Transcription:
r(t) = (t^3 /4 - 2)i + (4/t - 3) cos (t - 2)k
x^3 + y^3 + z^3 - xyz = 0
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