Suppose we know the following: z = f(x, y) where x = 2v-u, y=v² +2u, (-3,2)= 12, fy(-3,2)= -15, fz(-1,-2) = -8, fy(-1, -2) = -5. fa Calculate O-42 O-21 0-2 0-1 əz du at (u, v) = (-1,-2).

Q: (x, y) = (b) 1 1 (d) 1/2 Does not exist. (x, y) = Ty³ x² + y6 = Find limf(x,y) along the path x =…

A: We will find the required.

Q: If f(r, v)= +y-2y, find fa (2, 1), f (2, 1), fay(2, 1) and fy(2, 1).

A: Given a function f(x,y)= x3+x2y3-2y2 Now, fxx= ∂2f∂x2=∂∂x∂f∂x fyy= ∂2f∂y2=∂∂y∂f∂y…

Q: 3. zy if y + x² – 3xz = 222

A:

Q: Find the value of fææ + fyy at (1, –1) when 3 + x² + 2y?. xy f(x, y) 1. (frr + fyy)- -7 |(1,–1) 2.…

A:

Q: 2. For x 2 0, which equation is false? 3, 2 (x) = V3 А. X2 %3D B. (x³) = Vx3 c. (x) = Vx3 ( = С. X2…

A:

Q: 24. Given that the point (a, 462), a 20, is on the function y = f(x), which of the following is a…

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Q: 8. Find all values of h, if any exist, such that b a linear combination of vị an h (а) Vi V2 = b =…

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

A:

Q: 16. (T/F) If A and B are 3 x 3 and B = [b₁ b2 b3], then AB [Ab₁ + Ab₂ + Ab3]. =

A: Given: A and B are  3×3 and let AB=Ab1+Ab2+Ab. To Find: Whether the following statement is true or…

Q: +3. . Find the linearization of _9). Can you tell anything about the error? at (3,2). Evaluate at…

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Q: 1. Find the following for the function f(x, y) = 3x³y² - 5x + 26y - 9. a. f(1,2)= b. fy(x, y) = c.…

A:

Q: f(x,y) = Find f(3,4) 2+2u

A: Given Fuunction in x and y is as follows

Q: Find f, (8,2) if f(x.y) = e* - 5y.

A: We can find the answer as below

Q: (xy ☺ Ty 5. Tyy Ty x 7) Tz ® Tzz 6. TzX

A:

Q: 5. (BH) Calculate det B, where 0. 4 1 1 В — 1 -2 4 -1 2 1 -1 0 7

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Q: dw If w(x,y,z) = xe % and x= -4t, y = 4-1, z = -4 + 4t. Find di . (4-1) (4+4) 41(4 - t) -4 + 4 (-4 +…

A: Given, wx, y, z = xeyz     and x = -4t   y =4-t z = -4 +4t We have to find dwdt