1) Find the vohume of the region bounded by the Z = 2 - 4x2 - 4y² and the plane Z-0 (Note : Use polar coordinates). 2) Chang to polar coordinates *(x² +y?) dy dx.

Q: Use polar coordinates to evaluate r3 /9-x² I (a² + y°) dy dar. x (x2 V9-x²

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Q: 3. a) Find polar coordinates (r, 0) of the point (1, -/3), where r> 0 and 0 <0 < 2 p2 = x² + y?, tan…

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Q: Cannot solve

A: To convert rectangular equation into polar equation put x = r cosθ and y = r sinθ then rearrange the…

Q: A circle C of radius 2r has its center at the origin. A circle of radius r rolls without slipping in…

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Q: The polar equation of the circle with Cartesian equation x² + y2 = 100 is:« A r= 100- В r= 10 sin 0…

A: To find  The polar equation of the circle with the given equation.

Q: (iii) dz< 22 + 2 where here y parametrises the straight line segment from 0 to 1- i.

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Q: Evaluate S (* + 7)i + (2») 5).dF. where Lis the quarter-circle with parametric form z = cos (t) and…

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