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Author Question: Assuming that the function f has continuous partial derivatives of orders 1 and 2, calculate and ... (Read 78 times)

mcmcdaniel

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on: May 27, 2021
Assuming that the function  f  has continuous  partial derivatives  of orders 1 and 2, calculate and simplify   f(x, y)  where  x = u cos v  and  y = u sin v.
◦ - sin v f1(x,y) + cos v f2(x,y) - u sin v cos v ( f11(x,y)  +  f22(x,y)) -  u(cos2 v + sin2 v) f12(x,y)
◦ sin v f1(x,y) + cos v f2(x,y) - u sin v cos v ( f11(x,y)  -  f22(x,y)) +  u(cos2 v - sin2 v) f12(x,y)
◦ - sin v f1(x,y) + cos v f2(x,y) - u sin v cos v ( f11(x,y)  +  f22(x,y)) +  u(cos2 v - sin2 v) f12(x,y)
◦ - sin v f1(x,y) + cos v f2(x,y) + u sin v cos v ( f11(x,y)  -  f22(x,y)) +  u(cos2 v - sin2 v) f12(x,y)
◦ - sin v f1(x,y) + cos v f2(x,y) - u sin v cos v ( f11(x,y)  -  f22(x,y)) +  u(cos2 v - sin2 v) f12(x,y)
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Marked as best answer by mcmcdaniel on May 27, 2021

elyse44

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Reply #1 on: May 27, 2021
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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mcmcdaniel

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Reply 2 on: May 27, 2021
Excellent

raili21

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Reply 3 on: Yesterday
Wow, this really help

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