Suppose f is a differentiable function of x and y, and g(r, s) = f(2r – s, s - 3r). Use the table of values below to calculate g.(9, 6) and g.(9, 6). fx fy (12, 9) 2 9 4 (9, 6) 2 7 g,(9, 6) =

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: Select all of the following equations for which y is a function of x. Ox + 3y = 3 Oa = y' + 3y O2? +…

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Q: Decide if the following functions are linearly independent in the interval (-00, 00) f1(2) = 1+r,…

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Q: Find fa, fy, fyx and fy if f(x, y) = x + y + xy ух

A: This is second partial derivative so do the derivative like normal considering all other variable…

Q: t(x, y) x² + y?

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Q: Suppose y is a function of z. Choose the correct answer. Select one: dy a. 4 (z°y²) = x5 . 2y + y² -…

A: Derivative of y is dy/dx.

Q: Find f.(x, y) and f,(x, y) for f(x, y) 3x3 + 8y? – 6x + 4y and evaluate each at f(4, 5). f.(x, y) =…

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Q: Find &, for f(a, y) = xy? – 4.ry² +x*. 3

A: This question is related to partial derivatives.

Q: Find fax, fxy and fy for the function f(x, y) = 3x³ + 3xy² + 2x³y² + 3y² Select one:

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Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Given  f(x,y)=8x-2y+5 Find:f(2,-1) Substituting x=2 and y=-1 in the given equation, we get  f(2,…

Q: Find and sketch the domain for the following function: g(x, y) = x-y

A: The given function gx, y=4-x2-4y2x-y. We have to find its domain and sketch its graph.

Q: Compute Fx, fy, and fz for the function and evaluate them at the indicated points

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Q: dx. = 9) Evaluate 2x-1

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Q: Which of the following is not a function of x? Vx-4 a b x* +y = 4 C xy = 1 x² +y? = 1 d. %3D y = |x|…

A: Solution Y is a function of X if we can find it uniquely by x.

Q: dw at (u,v) = (5,4) for the function w(x,y) = xy – y; x= u – v, y= uv. Evaluate du O A. 21 O B. 1 O…

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Q: Let f (a, y) — 5x? — 8ӕу + 2у - fy 10х - 8y 4y -8х + 4y 10х -8х + 4у

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Q: Find all functions from X = {a,b} to Y = {p,r,t}.

A: Given :- To find all functions from X = a,b to Y= p,r,t.

Q: fex)= J4-x +2

A: The function is given by f(x) = 4-x + 2 To evaluate : The graph of the function f(x)

Q: Q2: Given the function fa) = {(2,1), (,5), (5, lo)) fo, D(f) , R(fw). Find

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Q: For the given function 6=x²yz C=3x²yi+yz²j-xzk and Find 82 Sysz (c) at point (1, -2, -1).

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