6. Express the triple SSSE f(, y, z) dv erated integral in three different ways dzdxdy,...
4. (5 points) Express the integral JI f(x, y, z) dV as an iterated integral in 6 different ways, where E is the solid region bounded by y2 + z-9. x--2, and x-2. 4. (5 points) Express the integral JI f(x, y, z) dV as an iterated integral in 6 different ways, where E is the solid region bounded by y2 + z-9. x--2, and x-2.
3 (6 pts) Let E be the region bounded by the surfaces z = 1 – y, y = VI, and z = 0. Set up the integral SSSE f(x, y, z)dV with respect to dxdydz, dzdydx, and dydzdx.
11. Write the integra y, z) DV as an iterated integral in six different ways where S is the solid bounded by the surfaces (a) x2 + 2 = 4, y = 0, y = 6, (b) 9x2 + 4y2 + x2 = 1. 12. Give five other integrals that are equal to the integral f(x,y,z) daddy.
Express the triple integral 2) d as an iterated integral in six different ways using different order of integration where T'is the solid bounded by the planes x = 0, y = 0,2-0 and + 4y + 5z = 12
5. Express the triple integral | f(x,y,z)dV as an iterated integral in cartesian coordinates. E is the region inside the sphere x2 + y2 + z2 = 2 and above the elliptic paraboloid z = x2 + y2
Could you complete the other four orders of integration not listed too? Thanks! 1 point) Writef(x, y, z)dV as an iterated integral in each of the six orders of integration, where E is the region bounded by the surfaces y 4-x2 - 4z2 and y 0 b 82x) f(x, y, z)dzdydx hix.y gi(x)- 82(x) h2(x, y) , b , g2(y) h2(x,y) f(x, y, z)dzdxdy b- a- 82() gi(y)- h(x,y h2(xy) 1 point) Writef(x, y, z)dV as an iterated integral in...
Write the triple integral over the solid of Q33 in three different ways, using the following orders of integration: dx dz dy, dy dz dx, and dz dx dy, and evaluate them. **Please provide complete solution with detailed explanation and step by step solution. Please don't skip any steps and also provide the figure so that its clear how to use the limits. 33. S: The solid bounded by zy and the planes z 9-x and x -0 33. S:...
Please explain steps 3. Consider the triple integral , g(x, y, z)dV, where E is the solid bounded above by the sphere x2 + y2 + z2 = 18 and below by the cone z= x2 + y2. a) Set up the triple integral in rectangular coordinates (x,y,z). b) Set up the triple integral in cylindrical coordinates (r,0,z). c) Set up the triple integral in spherical coordinates (0,0,0).
Evaluate the triple integral. ∭E5xy dV, where E lies under the plane z = 1 + x + y and above the region in the xy-plane bounded by the curves y = √x, y = 0, and x = 1
PLEASE ANSWER NUMBER 5 4. (1 point) Evaluate the triple integral on the given domain slf (x² + y2 +22)3/2 dxdydz where G={(x,y,z): x² + y2 +z? <4} 5. (2 points) Evaluate the volume of the solid bounded by the paraboloids z=16– x2 - y2 and z = x² + y2