18 Evaluate EUE z(x2 +y? +z?) dV where E is the region described by 2 0szs v1-x -y

Q: Evaluate f(x, y, z) dV for the function f(x, y, z) = xz² and region B = [0, 3] × [5, 7] × [4, 5].

A:

Q: VIII. Let f(x,y,z) = xe" +z? and F(x,y,z) = (xy, x²yz, yz). Compute 1. Div(grad(f)) 2. Div(curl(f))…

A:

Q: . Find a number k > 0 such that the area of the region bounded by the curves y = x², and y =k – x2…

A: As per as our guide line I am supposed to answer only one question from these 2 question Please…

Q: Evaluate I= √ (sinx+2y) dx + (6x+y)dy for the non closed path ABCD in the figure.

A:

Q: Region bounded by y = 1 − x2 and y = 0

A: To graph the region bounded by, y = 1 − x2 and y = 0

Q: B. Let z- ( x-y)exy Show: Zxx + zyy + e x9 Cy 3- x³)- -z (xy+ 2)

A: Given that                       z=(x-y)exy

Q: Find the area of the region betweeny = e* andy = x forx in[0, 8]. (A -e³ +17 (B) 8-18 Ⓒ-e³-17 D…

A: To find the area of the region between y=ex and y=12x for x in 0, 8.

Q: Find the area bounded by the two curves f(x) = x² – 8x + 8 and g(x) = - 2² + 6x – 8, and the two…

A: To find Area between two curves:  f(x)=x2-8x+8 and g(x)=-x2+6x-8 and two vertical lines x=3 and x=4.…

Q: The area D is the area in the XY-plane bounded by the X-axis, Y-axis, and the 4x + line 5y = 0.…

A:

Q: 1/(u + v), y (-u + v) 13. Use the change of variables (planar transformation) x = to evaluate ff(x +…

A:

Q: Caleulate the region between Y4= x°-x ond %3D

A:

Q: Which integral corresponds to the area of the shaded region? The parabola is y = x? –1 while the…

A: Given query is to find the the integral for the area of shaded region.