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Parametric equations and eq. of tangent plane

I have written the following code to determine the equation of a plane tangent to a surface at a given point: ...
602 views

How to compute curvature of a curve defined by a list of points (in $\mathbb{R}^n$)?

Consider a "curve" defined by a list of points in finite dimension (here, four): pts = Table[{Cos[t], 0, Sin[2 t], Sin[t]}, {t, Subdivide[0, 1, 99]}] I used ...
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Passing a function into another function defined with Module and using it there

I'm trying to write a generic module that will take a vector-valued function of a space curve and show the animation of a unit tangent vector traversing the curve. I found a really nice example from ...
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Finding unit tangent for a given r(t)

For my Calc III class, I need to find $T(t)$, $N(t)$, and $k(t)$ using Mathematica, given $r(t) = {sqrt(t), (1/2)t^2, t^3 - (5/2)t^2 - 17}$. While the former and latter have been found, attempting to ...
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How to make a vector field point by point?

I have data for the components of the vectors at multiple points and want to plot something like a vector field from my points which obviously has to be done vector by vector because I do not know the ...
154 views

How to solve "Coordinate should be a triple of numbers"?

Something seems different with duplicated question "How to solve this error? “should be a triple of numbers or a Scaled form.” ", MMA tips may tell that Abs do not ...