Evaluate y*dV, where E is the solid hemisphere x? + y? + z² < 9, y > 0. E (Hint: spherical coordinates)

Q: What are the spe spherical coordinates of the point whose rectangular Coordinates (1₁ 1₁-5) ?…

A: We will use Relation between cartesian and spherical system  x=ρ sinφ cosθ , y= ρ sinφ sinθ , z= ρ…

Q: Change from rectangular to spherical coordinates. (a) (9, 3/3, 6) (P, 0, p) = ( 12 ) (b) (0, 5, –5)…

A: Rectangle coordinates are (a)(9,33,6)(b)(0,5,-5)

Q: Convent Cartesian equation to Parametric a) x² - y² = 4 b) y= ex et

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Q: Use spherical coordinates to evaluate 1-²1-x²-x² 2-y2 (x² + y² + z²)² dz dy dx

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Q: Convert the point (x, y, z) = (-5, 5, 3) to spherical coordinates. (p, 0,₁6) =

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Q: Express the eqution in rectangular coordinaties. (use variables x and y) r= 7cos(theta)

A: Given question:- Express the eqution in rectangular coordinaties. (use variables x and y) r=…

Q: Convert the point (x, y, z) = ( – 5, 1, – 1) to 6. spherical coordinates. Give answers as positive…

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