Suppose that f(x, y) = x + 5y on the domain D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. D Q Then the double integral of f(x, y) over D is f(x, y)dady=

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: What is frz, fyy, and fyz of f(x, y) = In(y²")?

A: Given:           f(x,y)=lnyx2          fx=∂∂xlnyx2         Treating y as constant variable…

Q: e /// 2 Evaluate 2xz dV where E {(x, y, z) |1 ≤ x ≤ 4, r ≤ y ≤ 2r, 0 <z<x+3y}

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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: Let 10yx⁹ F(x, y, z) = (9x8 ln(5y² + 3) + 3z¹0)i + (- +4z)j + (30xzº + 4y – 4ñ sin лz) k 5y² +3 and…

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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: xdx g) 7x + 2) h)f sin(In x) dx of xe" dx

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Q: Suppose f, g:C → C are differentiable. Prove that fg is differentiable and that (fg)' = f'g + fg'.

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Q: Evaluate ſƒ ƒ(x, y, z)dS for f(x, y, z) = x and S is the cylinder x² + z² = 16 for 0 ≤ y ≤ 2.

A: Given: fx, y, z=x and S is the cylinder x2+z2=16 for 0≤y≤2. We have to evaluate ∫∫Sfx, y, zdS.

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…