Determine whether the functions given below are homogeneous or not. (a) f(x, y) =: x' +y' 2.ry +3y? (b) f(x. y) =- x* +2.xy

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Q: ,2 For function f (x, y) x2+1 Evaluate the gradient at the point (1,2)

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A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

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Q: Q1. Let f(x, y) = x²y + x + y² +3. (a). Find f(x, y). (b). Find dy

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Q: 3. Find the derivative of the function f(r, y, ) = xy + yz+ the direction A = 3i + 6j – 2k. zr at…

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Q: Python to solve the following systems. (a) (b) x' = Ax x' = Ax A = A= = [1] Use the dsolve command…

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Q: Find a local linear approximation for the function f(x)=2x+8/x−2 valid for x near 3  2x+8/x−2≈

A: Linear Approximation: The formula for the local linear approximation of a function fx is given by,…