2. Evaluate the integral by first converting into spherical coordinates: |a²-x²-y² |a²-x²-yz (x²z+ y²z+z³) _dzdxdy

Q: Use spherical coordinates to evaluate /R Vx2 + y² + z² dV , where B is the ball x² + y? + z? < 10 В

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Q: Let B be the ball with center at the origin and radius 1 SS $3(x² + y? + z²)dV = B

A: Solve integral by using Cylindrical cordinates

Q: Use spherical coordinates. |II (2 – x² – y²) dV, where H is the solid hemisphere x? + y2+ z² s 9, z…

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Q: V1-x² (1-x²-y² (x² + y? + z²)² dz dy dx -1 J-/1-x2

A: Given ∫-11∫-1-x21-x2∫01-x2-y2x2+y2+z22dzdydx. As it is known that in spherical coordinates,…

Q: /2-z²-y² Convert the triple integral to spherical coordinates then evaluate it: TVx² + y² + z² dz dy…

A: The relation between cartesian and spherical polar coordinates of a point is…

Q: Use spherical coordinates to evaluate the integral, 2 S S -2 0 zdzdydx

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Q: Convert the following integral from rectangular coordinates to both cylindrical and spherical…

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Q: 2. Let W be the region where x2 + y? + z2 2. Use spherical coordinates to find I (2? + y? + 2?)-i…

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Q: 5) Rewrite the following integral using spherical coordinates. Do not evaluate the integral. ILI…

A: I=∫03∫−9−x20∫−9−x2−y29−x2−y26zdzdydx−9−x2−y2≤z≤9−x2−y2−9−x2≤y≤00≤x≤3f(x,y,z)=6z

Q: 2. Evaluate the integral by first converting into spherical coordinates: a-y (a2-y2 a--y a2-x2-y2…

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Q: II. 2 + y?) dv. JE

A: Given: x2+y2+z2=1 and x2+y2+z2=4 To Evaluate: ∫∫∫E(x2+y2) dv

Q: Use spherical coordinates to evaluate the triple integral SSSE x2 + y2 + z2 dV, Where E is the ball:…

A: Use spherical coordinates to evaluate the triple integral SSSE x2 + y2 + z2 dV, Where E is the ball:…