Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,4).

Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + BỊ.

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Q: -2+z) ds over t e point (0, 0, 0)

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Q: The slope of the curve 2x + Vx + y = y at the point (0, 1) is

A: 2x + √(x+y) = y  So,  √(x+y) = y - 2x So, x+y = (y-2x)² So, x+y = y² + 4x² - 4xy  So, y(1+4x) - y² =…

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: F(x,y)=xy+3 find and sketch the domain

A: our objective is to find and sketch the domain of  F(x,y)=xy+3.

Q: Find y as a function of a if y(1)=2, y(1) = 1. y = r²y" + 7xy +9y = 25,

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Q: Determine the numerical value of F (2, 3, -1) given the function F(x, y, z) = 2x²y = xz² + 3y²z. y

A: The given function is ; F(x,y,z)=2x2y-xz2+3y2z.