Let F = ryzi + ryj + 2x^yk and G = 2xyzi+zzj+z’yk. Let C be the curve r(t) = ti + tj + sink 0

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Let F Ryzi Ryj 2x Yk And G 2xyzi Zzj Z Yk Let C Be The Curve R T Ti Tj Sink 0 T 2 And Let C Be The Str 1 (19.31 KiB) Viewed 78 times

Let F = ryzi + ryj + 2x^yk and G = 2xyzi+zzj+z’yk. Let C be the curve r(t) = ti + tj + sink 0 <t</2 and let C be the straight line segment with the same start and end points as C (a) Can you write F = Vf for some scalar function f? If so, give f. If not, explain why not. (b) Can you write G=Vg for some scalar function g? If so, give g. If not, explain why not (c) Calculate the following integrals: (0) / Ride (2) / Ride (un) / aide (H) / Qide.