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) — — 3, и (1, 2) — 7, v (1, 2) = 6, vs (1, 2) = 6, vt (1, 2) = 6, Gu (5, 6) = 9, G, (5, 6) = –2 Find R, (1, 2) + R¢ (1, 2) 11 14 O 12 13

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

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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 =

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Q: If A = yz(^2) i - 3xz(^2) j + 2xyz k , B = 3x i + 4z j - xy k and ∅= xyz , find (a) Ax (∇∅), (b)…

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Q: 10. Given R = x7 + y3+ zR, and r = |R show that (a) V x (7 x R) =7 + 7R, (b) (A x V) × R = -27, (c)…

A: Given: be any constant vector.

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A: Given Data: Let us consider the given data, x2-y2-z3+w2+4=0    2xy +y2-2z2+3w4+8 =0

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Q: Consider the function f(x, y) = 3 Find Duf(4, 3), where u = (a) v=i+j Duf(4, 3) = -1/3-1/10.3 2…

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Q: z = f(st – 3, s+t°) and fi(-1,9) = 3, f2(-1,9) = 7, fu(-1,9) = f12(-1,9) = f21(-1,9) = fz(-1,9) = 2.…

A: (b) Apply the chain rule, ∂z∂t=∂f∂x×∂x∂t+∂f∂y×∂y∂tNow differentiate partially with respect to…

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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,…

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