W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(3, 5) v:(3, 5) = - 2, и, (3, 5) – 6, F«( – 2, – 1, ut(3, 5) 3) = 8, and F,( – 2, – 3) 1, о(3, 5) — — 3, v,(3, 5) — 9, 9, then find the following: W.(3, 5) : W:(3, 5) =

Q: Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies.…

A:

Q: • The Doman of f(x) = 4-Vx is 1. (2, co) 2. [-2, c0) 3. [2, 0) 4. [-2,2]

A: The domain is the set of all values of x for which the value of function f(x) exists.   For f(x)=4-x…

Q: If F(x, y, z) = (x²z, –2xz, yz), then curl F(6, –3, 1) equals %3D O (12, 39, –5) O (9,34, 2) O (13,…

A:

Q: The Doman off(x) = V4 – Vx is

A: Note: The correct option is not in the option.

Q: W (s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(3, v:(3, – 2) = 7, F.( –…

A: Let's find.

Q: If r(x, y,z) = (x² + y² + z²)!/2, find a²f a²f əx²'əy² ' a²f , аnd дхду

A:

Q: 1 Find af /dx, Əf / dy if ар лах а fax,y) - ху bfcxy)= exy cЈ fexiys - x cosx cosy d.j fexiyo=…

A:

Q: 25. N= ƏN ди 7 p+q p+r ƏN до p = u + vw, q = v + uw, r = w + uo; ƏN 2, v = 3, w = 4 дw when u =

A: We have to find partial derivative. “Since you have posted multiple questions, we will provide the…

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: Q4. (a) Give A = 2xy â, +3â, +z'yâ,, calculate v.AdV as shown in Figure Q4(a). A, (0, 1, 1) (0,0, 1)…

A:

Q: If f(z) = z² − (z)² + zz, calculate the following: a) u(x, y) and v (x, y) b) u(-10,-5) and…

A:

Q: Let W (s, t) = F(u(s, t), v(s, t)) where W,(1,0) = = Wt(1,0) = u(1,0) = 5, u, (1, 0) = 5, ut(1, 0) =…

A: Let where To find .

Q: 5. Find the partial derivatives a) z = e"/2 (x + y²), zmz=?,. z-?, Zy-? ? +22 + ӕуz, u, -?, u, — ?,…

A:

Q: Find r, s, and t so that (a) z = 1 2 x, (b) z + u = x, (c) z − x = y.

A: Given  And z+u=x and z-x=y. We need to find the value of r , s and t.

Q: If F(u, v) = u³ ln(2v) and u = x - 2y, v = " y compute 8² F Әхду

A: We need to find derivative of function F with respect to x and y.

Q: suppore that f(x.v,Z) = x*y +x2 and x cu,v) = sincu)t(os (u) Y(u, v) = Sincu) - (oslW find of oflav…

A: Given: f(x,y,z)=x2y+xzx(u,v)=sinu+cosuy(u,v)=sinu-cosu To determine: ∂f∂u,∂f∂v

Q: Let h(æ, y) = f(x)g(y) + (9(y))² and suppose that f(1) = 5, f'(1) = 3, g(2) = 8, g'(2) = 10. Then…

A: Given function is - h(x,y) = f(x) g(y) + g(y)2             ............................(1)We have to…

Q: Please take turns to work on the following questions: 1. Let f(x, y) = x² + 3xy + y² Compute (a) af…

A:

Q: (Q1)-A-State(First fundamental theorem) and Show that :(2₂0 /(10), +..) -B-Let f:( M, (Z).+-)-(M,…

A: As per the policy, we are solving first question. Please repost it and specify which question is to…

Q: (9) Ur = = UF'(A)) and that f Prove that f-1 (μη) = - U ΜΑ»). ΑΕΛ

A:

Q: Let W(s, t) = F(u(s, t), v(s, t)) where u(1,0) = -2, u, (1, 0) = 8, ut(1,0) = -4 v(1,0) = -3, v.…

A:

Q: Let R (s, t) = G (u (s, t) , v (s,t)) where G, u, and v are differentiable, и (1,2) — 5, из (1, 2) —…

A:

Q: The equations xcos(u) + luy² + e² + 2 = 0 and 9ye" + 4x²v – 3xcos(z) +1=0 are solved for u and v as…

A:

Q: a) Find the maximal volume of the rectangular box whose three faces belong to the coordinate planes…

A: Given: x+y+z=3

Q: 5) Find ôw/ôv if w=x² +(y/x), x u-2v+1, and y= 2u +v-2, at the point (u, v) = (0,0)

A: We have to find all partial derivatives first.

Q: Show that u(x,t)= f((x+a*t)+f(x-a*t))/2

A: Given PDE is utt=a2uxx subject to ux,0=fxutx,0=0 We know that the general solution of the PDE is…

Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(4, – 1) = - 4, u,(4, – 1)…

A: Introduction: A characteristic of severa actual variables, additionally referred to as a actual…

Q: Suppose we know the following: z = f(x, y) where x = 2v-u, y=v² +2u, (-3,2)= 12, fy(-3,2)= -15,…

A: Given: z=fx,y where x=2v-u, y=v2+2u The partial derivatives fx-3,2=12, fy-3,2=-15, fx-1,-2=-8,…