(c) Write (but do not evaluate) an integral describing the length of the curve from $t = 3$ to $t = 4$. 2. Find the unit tangent vector at $t = 1$ to the curves described by the following vector functions. (a) $\mathbf{r} = (e^t, \sqrt{t}, t)$ (b) $\mathbf{r} = (\sin(t^2), t^2, 1)$
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Without any specific information given, we cannot determine the equation of the curve. So, let's assume the equation of the curve is y = f(x). Show more…
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