Use Polar coordinates to find the volume inside the sphere x2 + y2 + z2 =...

Use Polar coordinates to find the volume inside the sphere x² + y² + z² = 16 and outside the cone z² = 3x² +3y².

Expert Solution

milcah answered 2 years ago

Find the volume of the solid that lies within the sphere x2+y2+z2=64, above the xy plane,...

Find the volume of the solid that lies within the sphere x2+y2+z2=64, above the xy plane, and outside the cone z=7sqrt(x2+y2)

Consider the unit sphere x2 +y2 +z2 = 1 and the cone (z+√2)2 = x2 +y2....

Consider the unit sphere x2 +y2 +z2 = 1 and the cone (z+√2)2 = x2 +y2. Show that these surfaces are tangent where they intersect, that is, for a point on the intersection, these surfaces have the same tangent plane

Si U=(x2+y2+z2)-1/2 , demuestre que ∂2U/∂x2+∂2U/∂y2+∂2U/∂z2=0

Find the volume of the solid enclosed by the two paraboloids y=x2+z2y=x2+z2 and y=2−x2−z2y=2−x2−z2.

Use spherical coordinates to find the volume of solid within the sphere x^2 + y^2 +...

Use spherical coordinates to find the volume of solid within the sphere x^2 + y^2 + z^2 = 16 and above the cone 3z^2 = x^2 + y^2 and lying in the 1st octant.

Find the polar coordinates of a point with the Cartesian coordinates

Find the polar coordinates of a point with the Cartesian coordinates (x,y)=(−4√2,4√2).

Let F= (x2 + y + 2 + z2) i + (exp( x2 ) + y2) j...

Let F= (x2 + y + 2 + z2) i + (exp( x2 ) + y2) j + (3 + x) k . Let a > 0 and let S be part of the spherical surface x2 + y2 + z2 = 2az + 15a2 that is above the x-y plane and the disk formed in the x-y plane by the circular intersection between the sphere and the plane. Find the flux of F outward across S.

Let H be the hemisphere x2 + y2 + z2 = 66, z ≥ 0, and...

Let H be the hemisphere x2 + y2 + z2 = 66, z ≥ 0, and suppose f is a continuous function with f(4, 5, 5) = 5, f(4, −5, 5) = 11, f(−4, 5, 5) = 12, and f(−4, −5, 5) = 15. By dividing H into four patches, estimate the value below. (Round your answer to the nearest whole number.) H f(x, y, z) dS

Use spherical coordinates. Evaluate (4 − x2 − y2) dV, where H is the solid hemisphere...

Use spherical coordinates. Evaluate (4 − x2 − y2) dV, where H is the solid hemisphere x2 + y2 + z2 ≤ 9, z ≥ 0. H

Use spherical coordinates. Evaluate Triple Integral (1 − x2 − y2) dV, where H is the...

Use spherical coordinates. Evaluate Triple Integral (1 − x2 − y2) dV, where H is the solid hemisphere x2 + y2 + z2 ≤ 9, z ≥ 0.

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