Find div F and curl F if F(x, y, z) = 4º®Y¡ – cos yj+ sin² z k. - div F= curl F=

Q: Find fyyzz if f(x, y, 2) = cos(3y + az). Then evaluate fygazz at point (, 0, 4). COS

A: *Use chain rule

Q: Find div F and curl F if F(x, y, z) = x³i - 10j+yzk. div F= curl F=

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Q: Find div F and curl F if F(x, y, z) = 2eyi- 7 cos y j + 4 sin² z k. div F= curl F=

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Q: Exerceise (6) Prove that Jy2 = 2 sinx

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Q: Find div F and curl F if F(x, y, z) = 9ei - 3 cos y j + 2 sin² z k. div F= curl F=

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Q: Find div F and curl F if F(x, y, z)=xi - 10j+yzk. div F= curl F=

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Q: Find domain and vange f (2y)- し、 (x'+ゴ) ) fCz, y) = Sin" (y-z) Ž (3,y)- tan

A: According to the question,  We need to specify the domain and range of the given function: (A) f(x,…

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A: The degree of a differential equation is the power of its highest derivatives.

Q: Integrate f(cos x)e*+sin xdx B. e-sinx +C A. -et+sinx + C c. ettsinx + C D. e+sinx C

A: Note:∘ddx(sinx) = cosx ∘ddx(a) = 0                                         where a is constant∘∫etdt…

Q: ôw ôw + = 0 for w = Ax, y), x = u – v, and y = v – u and demonstrate the ди ду 6. Show that result…

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Q: y-Castesinz şinz

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Q: (4xy) w = 3 sin (4xy tan (z) +4 In (5yz)- 8 e

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Q: EX/ Find dy for function y = sin ³x + cos³x dx H.W Aus=3sinex (Sinx-Cox) 2

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find div F and curl F if F(x, y, z) = xªi – 6j + yzk. div F= curl F=

A: To find  and  if .

Q: Find div F and curl F if F(x, y, z) = xzºi + 6y²x²j + 6z²yk. div F= curl F=

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