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) = 2, u:(4, – 1) = 8, v(4, – 1) = 1, v,(4, – 1) = 5, v:(4, – 1) = - 3, F.( – 4, 1) = – 9, and Fe( – 4, 1) = 3, then find the following: %3D | W.(4, – 1) = W:(4, – 1) =

Q: T(1,1)=(5,0) Let T:²²be defined as, T(1,0)=(2,6) Then, T(3,2)=(12,6) (a) T(0,1)=(-3,6) (b)…

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Q: Suppose that f(x, y) = 6x²y² + 4x² + 4y² then find the discriminant of f.

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Q: 10) Show that [x] = −[−x] A 11) suppose that g: A → B and f: BC, where A = B = C = {1,2,3,4}, g =…

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Q: 1. Let T = [-2 1 0 5], 5 1 1 0 A = [¦ ¦] ·--[¦ ¦ ). -- [¦ ¦ ¦]. - -[] [16], B = = [1 2] C = D = 0 3…

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

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Q: Find the following. = ( ₁₁ — 1) , V₁ 1, = 2 U = (a) ||u|| (b) (c) ||u + v|| (d) (e) ||v|| (f) — 33 u…

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Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(3, 6) = -7, us (3,- 6) =…

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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.( –…

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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: Let f(x,y) = x - 4xy - y. Compute f(4,0) and f(4, – 4). f(4,0) = (Simplify your answer.)

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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) =…

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

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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,…

Q: z} 0,1} definition for f: X→ A that is a well-de- (0, w), (-1, w), (-2, w)} , (0, w), (-1, w), (-1,…

A: We have to choose the correct option from the given options according to the given information

Q: Let f (x) C = C = = x on [0, 5], and let P = {0, c, 5}. Find two values of c in (0, 5) such that Uf…

A: Given function is  f(x)=x The partition P is {0, c, 5} We know that  Uf​(P)=∑i=1n​(Mi​)⋅Δxi​ Where…

Q: f(5, –6) f(-6,5) f(0,6) f(P, 5t) f(s +t, s – t)

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Q: Consider a function z = F(u(s, t), v(s, t)) where F, u, and v are differentiable and u(8, 6) = −1,…

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Q: Let u and v be u = [3,0,3] and v = [1,1,4]. Verify that: |u x vl? = |u]?\v]? – (u · v)²

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