Use spherical coordinates. y2 + z2 where E is enclosed by the sphere x2 + y? + z = 49 in the first octant. dv, Evaluate

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Q: Interpreting as area, Sº3 V9 – a² dæpresents A. Area of a quadrant of the circle with center at the…

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Q: Use spherical coordinates. Evaluate (8 - x² - y²) dv, where H is the solid hemisphere x² + y² + z² ≤…

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Q: Convert to cylindrical coordinate. 1. z = x2 + y2

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Q: Use spherical coordinates. Evaluate (6 – x2 - y?) dv, where H is the solid hemisphere x2 + y² + z² <…

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Q: 6. Use spherical coordinates to evaluate SLESE + y² + 2² dzdxdy.

A: The given problem is to evaluate the given triple integral using the spherical coordinates. We have…

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Q: Evaluate by changing to spherical coordinates: /2–x²-y² xydzdydx x²+y2

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Q: 64-x² 64-a 64-x² Jo -8 Use cylindrical coordinate to evaluate La L- So 2x²dzdydx.

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Q: Find the point on the sphere x+y²+z²=625 that is farthest from the point (-23,14,-13). 23 625 V1200…

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Q: √2-1₁² √4-x²-1,² ITI S y=0x=y=z=√x² + y² arctan() dzdxdy ||

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Q: The center of Dis R. Rare}

A: As the centre of group D4 is {R0,R180}•

Q: Prove that the midpoint of the hypotenuse of a right triangle is. equidistant from the verticle

A: Instead of T,S,V and M I choose C,A,B and D

Q: Find the Cartesian coordinates of the point (6, 4. VIT) given in cylindrical coordinates

A: First we have to determine (r,∅,z) then calculate respective Cartesian co-ordinates

Q: Which of the following point is the farthest point on the sphere z? + y² + z² = 4 from the point…

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