Find the unit tangent vector at the given value of t for the following parameterized curves. r(t)= ⟨7–√e^t,3e^t,3e^t⟩

, for 0≤t≤1
; t=ln 2

Step-by-step explanation:

Given :

We first have to differentiate of equation

Now to get a unit tangent vector at the given value of , we put in equation

                   [∵]

Now to get a unit tangent vector , we will divide our vector by its magnitude. So let's first find the magnitude.

Now we can find the our unit tangents vector.

Hence,

b.my answer is b.

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