-1 1.0 The region R is bounded by the x-axis, yaxis, and the line in the graph. Then and R f(x, y)dA = fd f(x) f(x, y)dydx d p(x) = q(x) = and √ √ f(x, y)dA = f() f(x, y)dxdy where ff a b g(y): = h(y) = R 6

Q: 'y' and evaluate each at the given point. ху f(x, y) = - (2, -2) %3D x - y f,(x, y) = %3D ,(x, y) =…

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Q: Suppose that y is a function of u, u is a function of x, and u = -1 when x = 2. If du/dx|x=2 = 3 and…

A: Solution

Q: 3. Determine the absolute maximum and minimum values of f(x, y) = 2+4x-2.x²+4y-y² on the region R…

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A: Consider the given function fx,y=x2+xy+y2-3x+3y  .... 1.  Draw the bounded region in the first…

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A: Using partial differential equation, we can find required results

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Q: • Let S be the graph of f(r, y) = r² + y² – 2r + y for (r, y) E D = {(r, y) :2² + y² < 4 and z + y 2…

A: The function is fx, y=x2+y2-2x+y The region D is x, y: x2+y2≤4 and x+y≥0 The edges are x2+y2=4 and…

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Q: 14. We know that S(x,y)dx+g(x,y)dy] = Se f(x,y)dx + Se g(x, y)dy. Use this knowledge to evaluate S.y…

A: We integrate this by making two path where for one path only y vary and for other path only x vary.

Q: The shaded region is a domain for the function eq1 eq2 -1 -1 A) ƒ(x, y) = V4 – x² – y² + Vx – y² +…

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Q: tion 16 of 17 Let P be the tangent plane to the graph of g(x, y) = 18 – 9x - 18y at the point (4,…

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