7. Use Polar coordinate to compute the volume under the cone z = √x² + y² and above the semi-ring 4 ≤ x² + y² ≤9 and y < 0. (Evaluate Completely)

Q: Find the volume between the cone x = √y² + z² and the sphere x² + y² + z² = 4. volume -

A:

Q: 6. Find the area of the surface generated when y = v4x + 6 is revolved about the x- axis on the…

A: 80π

Q: Find the area of the portion of the sphere of radius 10 (centered at the origin) that is in the cone…

A:

Q: 4. Finl the volume bounded by the surfaces z x2 and z 4-x2-y2.

A:

Q: enclosed betw parabola y = x2

A:

Q: Find the surface area of the portion of the half ball with radius a which cuts off by the cylinder…

A: The equation of a ball with radius a is x2+y2+z2=a2. The surface area of the function z=fx,y over…

Q: Q3/ Find the area of the following surface z = x² + y lies in region x2 +y = 4.

A: Surface area is defined as a combined sum of all areas or parts and faces of the surface on a three…

Q: Calculate the volume under the elliptic paraboloid z = 4x² + 6y2 and over the rectangle R = [-2, 2]…

A:

Q: Find the area of the surface defined by x + y + z = 1, x2 + 2y2 ≤ 1.

A:

Q: A region R consists of a square bounded by the lines x = -5, x = 5, y = 0, and y = -10 and a half…

A:

Q: y z Show that the volume of the segment cut by the paraboloid+ 2,2 by the plane z=h equals half the…

A: Given equation of paraboloid is: x2a2+y2b2=zc. Divide by zc on both sides.…

Q: Find the volume of the solid bounded by surfaces z = /9-x2 - y2 , and z = /25 - x2 - y? and the…

A:

Q: Calculate the surface area of the paraboloid with top radius R> 0 defined by 2 a² + y? 0< x² + y? <…

A:

Q: Find the volume V of the region appearing between the two surfaces z = x² + y² and z = 8 - x² - y².…

A: