Suppose that f(x, y) = 5x + 5y at which {(x, y) | -5 ≤ x ≤ 3, -5 ≤ y ≤ 3} D Then the double integral of f(x, y) over D is [ f(x, y)dady =

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: Determine fr and fy from f(x, y) = x³ + x²y + xy² + y³ ○ fx = x + xy, fy = x + 2xy ○ fx = x² + xy,…

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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: 2) Is A P Q R a right angle triangle P(-5,3) Q(-7,8) R(3, 12) and it. name

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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: Let F(x , y , z) = g(y) + h(z) + 5 In(x - 2) , where g(y) and h(z) are differentiable functions of…

A: If a function is a function of more than one independent variable then the derivative of this…

Q: Calculate ffs f(x, y, z) dS For = x²+y225, 0 ≤ z < 3; f(x, y, z) = Sſs f(x, y, z) dS =

A: Step 1:Step 2:Step 3:

Q: d) Let f be a continuous function. Then 1 [ S f(x,y) dady = f*f* f(x,y) dyda. 0

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Q: Find the absolute extrema of f (x, y) = x^2 + y^2 + xy on the disk x^2 + y^2 ≤ 1.

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Q: Find the line integral of ​f(x,y,z)=x+y+z over the​ straight-line segment from ​(5,4,2) to (4,2,-2)

A: Note:- Since you asked multiple question ,according to our policy we can solve only first question…

Q: Let F(x, y, =) = (6x° In(5y² + 9) + 4=5) i + ( 10yx + 7:)j + (20xz4 + 7y – 37 sin 72) k 5y2 + 9 and…

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Q: 8. Calculate the integral of f(x, y, z) = 2(x² + y² +2²)-3/2 over the part of the ball z² + y² +2² ≤…

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Q: Rewrite the triple integral rb pg2(=) Lot fore) als f(x, y, 2)dædydz a g₁(:) h₁(y,:) ffff(x, y, z)…

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Q: Determine the homogeneity of this function: f(x,y) = x4 - xy3 +1 O 1 4 This is not a homogeneous…

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