Find and ди ди using the chain rule. w(x, y) = 14x²y², x = e" cos v, (u, υ) ди (u, υ)

Q: j Find y as a function of æ if a?y" – 9xy' + 25y = xº, (1) — 2, У(1) — -5. y =

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Q: PDE ut- 3leuxx 0LXLI も>6 B.C.: : ulo,t) = ULyt)=D0

A: In this question, we solve the wave equation by using the separation of variable,s and using given…

Q: дz az Use the chain rule to find and Əs Ət əz Əs əz at = = ¹(=), z = tan u = 3s + 5t, v = 5s - 3t

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Q: Ət A. Use the chain rule to find and as functions of x, y, s and t. Ət = მა Suppose z = = B. Find…

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Q: Find general solution of U" + U = 0.

A: Given differentiation equation is U''+U=0. We have to find the general solution of the given…

Q: 1 g(u) = V5и + 8 then g' (u) =

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Q: when u = 0, v =1 if du Use Chain Rule to find z = sin ry + x sin y, r= u² + v² and y= uv.

A: Given: z=sinxy+xsiny, x=u2+v2 and y=uv. To find: ∂z∂u at u=0, v=1. Solution: Partial derivative of a…

Q: Determine order and degree * d'y d'y + cos dr? dr? 2 O 5 undefine- Not linear

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

Q: For the function f(x,y) = 5x - 6y - 6, find - of and

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Q: y? lim (х.у)-(1,0) х2 + у? — 2х + 1

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Q: Evaluate and simvlify y'. sec 2w y sec 2w + 1

A: Given: y=sec2wsec2w+1

Q: Evaluate this function of z = cos x sin y; x = u – v, y= u² + v². Use chain - dz rule to find ди А.…

A: The given function are z=cosx siny; x=u-v, y=u2+v2.   Rewrite the given the function as follows.…

Q: y-Castesinz şinz

A: The detailed solution is as follows below:

Q: Use the Chain Rule to find az/as and az/at. əz as дz at || JI - z = tan(u/v), u = 3s + 9t, v = 9s -…

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Q: Express dw/ðu and əw/dv as functions of u and v both by using the Chain Rule and expressing w…

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

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Q: Let w = iz2-4z+3i. find (a) Δw, (b) dw, (c) Δw-dw at the point z=2i

A: Consider the provided question, (a)

Q: Either f,g,h € F(R, R) the functions f(x) = sin(x)^2 And g(x) = cos(x) and h(x) = sin(x). Show that…

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Q: dz Find when u = 0, v = 3, if z = sin (xy) + x sin (y), x = 3u² + v², and ди y = 2uv.

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