(a) Express the parametric equationsx = 1t, y = t, z = sin1 tas a single vector equation
Chapter 12, Problem 1(choose chapter or problem)
(a) Express the parametric equations
\(x=\frac{1}{t}, y=\sqrt{t}, z=\sin ^{-1} t\)
as a single vector equation of the form
\(r=x(t) i+y(t) j+z(t) k\)
(b) The vector equation in part (a) defines \(r=r(t)\) as a vector-valued function. The domain of \(r(t)\) is ________. and \(r\left(\frac{1}{2}\right)\)=_____________
Equation Transcription:
Text Transcription:
x=1/t , y=sqrt t, z=sin^-1 t
r=x(t)i + y(t)j + z(t)k
r=r(t)
r(t)
r(1/2 )
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