Q/ If the joint p.d.fof X and Y as f(x,y) = }**y (cx?y ,x?

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A: We first find dy/dx suing quotient rule

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Q: f cas =VX (6+5x) fasela

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Q: 3. If y x- 15x', find; x– 15x², find: a) Intervals of increase/decrease.

A: We’ll answer the 3rd question since we answer only one question at a time. Please submit a new…

Q: 1. Find if the function is continuous in the given points (sin(x+y) x+y 1 D) f(x, y) = x + y = 0…

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Q: Find the values of a and b so that f will be differentiable at x = 3.

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Q: Evaluate y' at the point (2,2) 5x3y - 2x2 = 72

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Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as: