Determine the domain of the function algebraically (use algebraic methods, not a graph). Give your answer in interval notation. f(x)= 2√9-4x+1

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A: Topic:- application of calculus

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A: Given: So,                (1+x)dy-ydx=0⇒dydx=y1+x⇒dyy=dx1+xIntegrating both sides we get,⇒ln y=ln…

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A: see below the answer and calculation

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Q: Suppose f(x, y) = xe -8x²-8y² Answer the following. 1. Find the local maxima of f. List your answers…

A: Detailed solution is given below

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Q: Which ordered pair is in the inverse of the relation given by x²y + 5y = 9? (2,1) O (-2,1) O (-1,2)…

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A: Area=8π     unit2