Suppose that f(x, y) = 9x + 2y at which {(x, y) | − 1 ≤ x ≤ 3, − 1 ≤ y ≤ 3}. D Q Then the double integral of f(x, y) over D is SS₁₂ f(x, y)dady =

Q: Y Suppose that f(x, y) = 1+x at which {(x, y) | 0 ≤ x ≤ 2, - x ≤ y ≤ √√√x}.

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Q: valuate the X = (3-9) JJ²

A: We solve by using double integral.

Q: Suppose that f(x, y) = y√x³+1 at which {(x, y) |0 ≤ y ≤ x ≤ 2 Then the double integral of f(x, y)…

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Q: Suppose that f(x, y) = 3x + 1y at which {(x, y) | − 5 ≤ x ≤ 5, -5 ≤ y ≤ 5}. D Then the double…

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Q: Suppose that f(x, y) = 2, and D= {(x, y) | x² + y² ≤ 4}. Then the double integral of f(x, y) over D…

A: Given that f(x,y)=2 we have to find the double integral ∫∫Df(x,y)dxdy where D is D={(x,y)|x2+y2≤4

Q: Suppose that f(x, y) D = y 1 + x = over {(x, y) | 0≤x≤ 3, -x ≤ y ≤ √x}. a Then the double integral…

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Q: Show that (2x In yz-5ye") dx-(5e* -x²y)dy +(x²z- +2=) dz, where C runs from (2,1,1) to (3,1,e), is…

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Q: Suppose that f(x, y) = 4x + 4y at which {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4} D Then the double integral…

A: The given function is: f(x, y)=4x+4yD= (x, y) | 1≤x≤2,  x2≤y≤4

Q: 9) Evaluate the double integral of the function f(x, y) = 12x²y + 8x³ over the rectangle 0≤x≤ 2 and…

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Q: What should be A for the path independent of (2,4) 2Ay – x dy. y? XY + A (1,2) over evaluate the…

A: Consider the provide integral,

Q: Suppose that f(x, y) = 5x + 5y at which {(x, y) | -5 ≤ x ≤ 3, -5 ≤ y ≤ 3} D Then the double integral…

A: f(x,y)=5x+5y at which {(x,y) | -5≤x<3, -5≤y≤3}

Q: The graph of fis shown. y y= AX) 10 10 20 30 40 Evaluate each integral by interpreting it in terms…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…