Let (f(x, y, z)=x+y z), and let (C) be the line segment from (P=(0,0,0)) to ((6,2,2)). (a)
Question:
Let \(f(x, y, z)=x+y z\), and let \(C\) be the line segment from \(P=(0,0,0)\) to \((6,2,2)\).
(a) Calculate \(f(\mathbf{r}(t))\) and \(d s=\left\|\mathbf{r}^{\prime}(t)ight\| d t\) for the parametrization \(\mathbf{r}(t)=\langle 6 t, 2 t, 2 tangle\) for \(0 \leq t \leq 1\).
(b) Evaluate \(\int_{C} f(x, y, z) d s\).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Question Posted: