1 answer

2. The force F(x, y) = (y + 2x) sin(xy + x)i + x sin(xy +...

Question:

2. The force F(x, y) = (y + 2x) sin(xy + x)i + x sin(xy + x2) is conservative. (a) Find a potential V such that F = -VV. [2 m

2. The force F(x, y) = (y + 2x) sin(xy + x)i + x sin(xy + x2) is conservative. (a) Find a potential V such that F = -VV. [2 marks] (b) Is F central? Provide a reason for your answer. [2 marks]

Answers

Given that ! solution! f1944 =14+20) Sin (n9 +) it sin(2942); then now ginen IF Y is conservative v xp =0 {curi of F } Cari jad Exã a oiroj +[-x Cos (14+n) 19 +2x) + sinca yAn2) txly+20) cos (ay+at) - sin (ny An)] E To XÃ zo] Given that pa - DV - dv(dw : [14+2n) sih (74+x+) dx + (xsin (124+x») ay -va pcos Cartay) te | u = = cos (*4*3) +7 Conservatione as negative can alwa

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