2. ) If f(r, y) > 0, then the volume V of the solid that lies above the f(r, y) is V = S Sr f(1, y)dA, rectangle R and below the surface z = where R is in the ry plane.

Q: Let a and h be positive real numbers. Let E be the surface in R³ given by 4a.x = y? + z2. (a) Find…

A: Given 4ax=y2+z2

Q: Calculate ffs f(x, y, z) dS For Part of the surface x = 2³, where 0 < x, y ≤ 4−¾; f(x,y,z) = = x ffs…

A:

Q: Find the volume of the solid enclosed by the surface z = x² + xy² and the planes z = 0, x = 0, x =…

A:

Q: Find the volume of the solid which lies below the surface f(x,y) = 5x² and above the planar region…

A:

Q: Find the volume of the solid under the plane z = 5x + y and above the region determined by y = x²…

A: To find the volume of the solid under the plane z = 5x + y and above this region, we need to…

Q: Find the volume of the solid bounded by the surface z = 9 – x² and the planes z = 5, y = 0, and y =…

A: Given that z=9−x2, z=5, y=0 and y=4 Here, y varies from 0 to 4 z varies from 5 to 9-x2 Now, find the…

Q: Find the volume of the solid under z = 6 - 5x and above the plane bounded by y = 2x, y = 2, x = 0,…

A: Given Curves are                                                      z=6-5xy=2xy=2, x=0 volume of…

Q: Find the volume of the solid that lies under the plane 3x + 2y + z = 12 and above the rectangle. R =…

A: The given plane is:3x+2y+z=12The region in x-y plane is:R= (x, y) | 0≤x≤1,  -4≤y≤4

Q: /|F . d5 where Calculate F = (3zy°, ze", 2ª) Sis the surface of the solid bounded by the cylinder y?…

A: