(Steps Shown) a) Below you are given the plot of a curve x[t], y[t] with its unit tangent vectors How is this curve parametrized? Counter clockwise or clockwise?
Question: a) Below you are given the plot of a curve \(\{x[t], y[t]\}\) with its unit tangent vectors
How is this curve parametrized? Counter clockwise or clockwise?
b) Based on your answer in part (a) which way do the normal vectors \(\left\{y^{\prime}[t],-x^{\prime}[t]\right\}\) at \(\{x[t], y[t]\}\) point, to the right to the outside of the curve, or to the left to the inside of the curve?
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(See Solution) Suppose you are going with a function f[x, y] and you
![[Solution] Given F[x, y]=Sin;[x]-y, Cos;[x]-e^-x. Find rot;](/images/solutions/MC-solution-library-71840.jpg "[Solution] Given F[x, y]=Sin;[x]-y, Cos;[x]-e^-x. Find rot; F[x,")
[Solution] Given F[x, y]=Sin;[x]-y, Cos;[x]-e^-x. Find rot; F[x,
![[Solved] a) What do you mean when](/images/solutions/MC-solution-library-71841.jpg "[Solved] a) What do you mean when you say that a given vector")
[Solved] a) What do you mean when you say that a given vector
(All Steps) Here are two curves: Given functions $m[x, y]$ and
![[See Solution] Consider the vector field Field](/images/solutions/MC-solution-library-71843.jpg "[See Solution] Consider the vector field Field [x, y]=m[x, y],")
[See Solution] Consider the vector field Field [x, y]=m[x, y],
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