Friday, December 29, 2017

calculus - determine unit outward normal vector on a curve

It is necessary for me to find unit outward normal vector for the curve:



γ=(x(t),y(t))



where
x(t)=(0.6)cos(t)(0.3)cos(3t)


and
y(t)=(0.7)sin(t)+(0.07)sin(7t)+(0.1)sin(3t)

I know how to find unit outward normal vector for this: using




T=γ(t)||γ(t)||, so N=T(t)||T(t)||



but my problem is that I do not have t. Just I have x(t) and y(t).
How could I find t or N without need to t.



Is there any command in MATLAB or MAPLE to this?

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