We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Question 9 8 pts (8) Let S be the solid in the first octant that lies...
SET UP a triple integral to find the volume of the solid in the first octant (all coordinates positive) that is below the pla 10. (8 pts.) SET UP a triple integral to find the volume of the solid in the first octant (all coordinates positive) that is below the plane x+3y + 2z =12.
3. Find the volume of the solid in the first octant that lies above the cone z = 3(x + y) and inside the sphere x2 + y2 + z2 = 42. Use spherical coordinates.
4. Using spherical coordinates, evaluate the triple integral: ry: dl, where E lies between the spheres r2+94:2-4 and r2+92+ะ2-16 and above the cone V+v) or Recommend separating! 5. Using spherical coordinates, find the volume of the solid that lies within the sphere r2+y2+2 9, above the ry-plane, and below the cone ะ-V/r2 + y2 Reconnnend separating! 6. Using spherical coordinates, evaluate the triple integral: 2 + dV where E is the portion of the solid ball 2+2+2 s 4 that...
(a) Let R be the solid in the first octant which is bounded above by the sphere 22 + y2+2 2 and bounded below by the cone z- r2+ y2. Sketch a diagram of intersection of the solid with the rz plane (that is, the plane y 0). / 10. (b) Set up three triple integrals for the volume of the solid in part (a): one each using rectangular, cylindrical and spherical coordinates. (c) Use one of the three integrals...
3. Find the volume of the solid in the first octant that lies above the cone z = 13(x+ + y) and inside the sphere x2 + y2 + y2 = 42. Use spherical coordinates. 4. Determine if the vectorfield F(x, y) - (x + y)i + (2xy + y) is conservative If it is, find a potential function
1. (13 pts.) Use spherical coordinates to set up the triple integral for the solid that is constructed from a portion of a sphere, x2 +y2 +Z2-1 that lies above the cone φ = π/4 . Do NOT evaluate. 1. (13 pts.) Use spherical coordinates to set up the triple integral for the solid that is constructed from a portion of a sphere, x2 +y2 +Z2-1 that lies above the cone φ = π/4 . Do NOT evaluate.
Question #4: 3 pts each] Consider a solid D in the first octant bounded below by z= 14-x'-y? and bounded above by Vis? + y’, for y20. ZE a) Find the intersection of the surfaces. b) Setup the triple integral (without evaluating) in rectangular coordinates. c) Setup the triple integral (without evaluating) in cylindrical coordinates. d) Setup the triple integral (without evaluating) in spherical coordinates
Covert 1 = 83 84-** S*-**-»* dz dydx to an equivalent integral in cylindrical coordinates. Let be the region bounded below by the cone z = and above by the sphere x2 + y2 + (z - 1)2 = 1. |3x² + 3y² Set up (Do not evaluate) the triple integral in spherical coordinates to find the volume of D.
I lost in this I need help please thank you 8) [8] Given: E is the solid that lies below z = Vx² + y2 and inside x² + y2 + z2 = 5z. First describe what each surface represents, and sketch the solid. Then SET UP a triple integral using spherical coordinates to describe the volume of the solid. Explain clearly how you found the bounds for the spherical coordinates. DO NOT evaluate the integral.
please check your answer Question Details Let W be the solid in the first octant bounded by the top half of the cylinder x2 +z2= 36 and the plane x + y = 6 y Use Cartesian (rectangular) coordinates to set up the integral to find the volume of W in the order dydxdz. dy dz dx For instructor's notes only. Do not write in the box below. Question Details Let W be the solid in the first octant bounded...