23. Express the integral as an iterated integral [ƒ(x, y, z) dv in six different E ways, where E is the solid bounded by the given surfaces. (a) x² + z² = 4, y = 0 and y = 6. (b) 9x² + 4y² + z² = 1

Q: 1. Use Green's theorem in order to compute the line integral $ (3cos + 6y?) dx + (sin(5") + 16x³) dy…

A: Here the given integral is                               ∮C3cosx+6y2dx + sin5y+16x3dy

Q: 23. Evaluate the iterated integral. f²f (6x²y - a) (6x²y - 2x) dydx ») ff ² (4x² – x²y³²) dydx

A: Definite Integral

Q: 'ind the line integral of F(x, y) = (x² – y² , 2xy) = (P, Q) along the boundary of the rectangle %3D…

A:

Q: Let o (x +e*siny) dx + (x +e* cos y)dy be the line integral on the boundary of the triangle enclosed…

A: We will find out the required value.

Q: Evaluate | F dr where Cis the intersection of the surfaces y =x' and z =x' from the origin to…

A:

Q: F(x, y, z) = (2xe*) i+ (2y + 3y?22)j+ (x²e* + 2y³z) k is conservative. Find a functionf such that F…

A: To find the function f  And then evaluate the line integral along the given curve.

Q: Evaluate the triple integral of f(x,y, z) z(x2 + y? + z²)-3/2 over the part of the ball x² + y² + z²…

A: please  see the next step for solution

Q: Evaluate the line integral [F.dr where Y F(x, y, z) = (x + yz, x + z, xy) and y: line segment from…

A: The given problem is evaluate the given line integral of given vector field F over the given path of…

Q: Evaluate the line integral of F = [-2.2³ – 2 ·x, −2 · z² + y² — 2, y³ + x] along the z-axis from z =…

A:

Q: Does the integral of f(x, y) = 1/(1 – a² – y²) exist over the disk a? + y² < 1? Explain. -

A: