c) Calculate (x+y + 2) dV, where E is the region bounded by r2 + y +z s 25 and above the E xy-plane.

Q: Evaluate D 1022/3-6 dA where D is the region bounded by a = -23² and a = = y³.

A: To evaluate  where D is the region bounded by .Note: Since you have posted multiple questions, we…

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A: Here we use limit in the order dydx, hence

Q: Evaluate fay'da + a³dy, where C is the rectangle with vertices (0,0), (5,0), (5,6), and (0,6)

A:

Q: |(x+2y)d4, where D is the region bounded by the parabolas y=2x² D and y =1+x.

A:

Q: Find the global minima and maxima of the function f(x,y) = xy2 on the region R where x ≥ 0, y ≥ 0,…

A:

Q: Find an absolute extrema of f(x,y)=2x² - 4x + y² - 4y +1 on the closed triangular region bounded by…

A:

Q: The area of the region bounded by the z-axis and the curve = ²t - 1, y = 1-t² equals to: [2(1-1²)e²…

A: Solution

Q: Use Green's Theorem to evaluate | F. nds, where F = (VE+ 4y, 3r + 4y) C is the boundary of the…

A: see below the answer

Q: Evaluate ſſ(x² + y²)dA, where R is the region bounded by y = x² and y=2x R

A:

Q: Evaluate the moment Mx and M, of the region bounded by y = 2x + 1, x + y = 7 and x = 8.

A:

Q: Find a particular solution of the equation y4 -y3 - y" - y' - 2y = 8x^5:

A:

Q: 3x + 4y = 8, 4y - 3x = 8, 4y - x² = 1. Sketch of the region D and describe its symmetry. Find the…

A:

Q: Consider the region bounded above by the function z = 1/(x+3)2(y+7)2 and below by the xy plane for x…

A:

Q: Find the absolute extrema for f(x,y) = 2x? – 4x + y? -4y +2 defined on the region ounded by x = 0, y…

A:

Q: Find || (x, y) dA where f(x,y)=y and Ris the region bounded by y = x² and y = x. (A) (c) (B) 12 15…

A: Given: I=∫∫Rfx,ydA ; fx,y=y And y=x2 & y=x   As we know that; The Power rule: ∫xndx=xn+1n+1+C ;…

Q: Find %3D as if F(x, y, z) = 2xi+2yj+2zk and S is the part of the paraboloid z = 4-x-y lying above…

A: