(1) Let C be the curve \((t, t^2/2, (2\sqrt{2}/3)t^{3/2})\), $0 \le t \le 2$. Let $f(x, y, z) = \frac{\sin(y/x)}{x+1} + z$. Compute $\int_C F \, ds.$
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Step 1: We are given the curve C defined by (t,t^2/2,(2√2/3)t^(3/2)), where 0 ≤ t ≤ 2. Show more…
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