2V3 •v12-±2 -2v3J0 ^4+/16-æ2-y2 6 1 2 dz dy dx

Q: Evaluate the cylindrical coordinate integrals

A: The given integral is I=∫02π∫03∫r2318-r2dz r dr dθ Solve the innermost integral with respect to r.…

Q: 3 LL -3√√√9-x² Jo √9-x²-y² (x² + y² + z²) dz dy dx

A:

Q: Z x² + z² 2 E = {(x, y, z) | 1 ≤ y ≤ 4, y ≤ z ≤ 4,0 ≤ x ≤ 2} 11. SSSE dV, where

A:

Q: Convert this integral from rectangular coordinates to cylindrical coordinates (Do not evaluate the…

A:

Q: Find the formula of the area of ellipse using calculus integrals

A:

Q: 1olud Evaluate dv Whese sü the 2ィz°-9,4z0 2. hemiphere

A: To evaluate : The triple integrals ∭ y2 dV , where S is the solid hemisphere, x2+y2+z2≤9 , y≥0 in…

Q: .10π Sr Sa 0 0 (1 - sin o)/2 -л(157-16) A) (1 - cos p)/2 48 5 C) 7(157 - 16) 96 o² sin o do do de 5…

A:

Q: -√3 -².² -√3 Jo I = 3-1 1²+y² 2-√√/4-1²-y² 2y dz dy dr

A:

Q: Evaluate the cylindrical coordinate integral. 10 20 r 8 dz r dr d0 2 8 0 0 O A. 144 О в. 48 Ос. 96…

A: Solution

Q: Question 2 Convert this integral from rectangular coordinates to Cylindrical Coordinates) (do not…

A: Introduction: When we can consider a cylinder within the solid in three-dimensional Euclidean…

Q: Convert to integral form. Use either Gauss or Stokes theorem V × F = î

A:

Q: = 18 z 12 + 3 y k, s is the surfuce 2x + 3y + 6z =12. Evaluate SS F. A

A:

Q: How do you find the bounds for Φ to use in the triple integral when using spherical coordinates?

A: Given integral is, .Integral is evaluated over the region E.

Q: -dz 3 Q) Le

A:

Q: ܐ 0 √32-x²-y² Se²³+²+² dzdydx ex+y 4-16-xx+y? 0

A: Convert the cartesian coordinates into spherical coordinates.

Q: dz du Evaluate the integral Jo 5 the concept J + c. 2zv9z2-4 using uvu?-a? arcsec a a

A:

Q: Please help me evaluate this integral, I know it needs to go into cylendrical coordinates but I…

A: We are given the integral,                           We will be solving the above integral by…

Q: 5. Convert the integral 9-x2 9-x²-y² Vx? + y? + z² dzdydx to spherical coordinates then evaluate.

A:

Q: VI-x? (/2-x²-y² S xy dz dy dx 0 Jo Vx²+y²

A:

Q: Calculate // (3xy + 2e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4,…

A: