Calculate the area of the surface: 20 5 z² = 2 xy with 0≤x≤ 2, 0≤ y ≤ 4, z 20

Q: Determine the volume of the rotating object that occurs if the area of ​​the curve y1 = - x2 + 4 and…

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Q: Find the area of the shaded region. y-2 C4, 2) O4, 2 A) 2 (B) n-2 D) n

A: The area of the region can be found by the following formula  Area =∫abydx Area =∫ab|f(x)-g(x)|dx…

Q: Find the area of part of sphere x² + y? + z² = 100 that lies inside x2 + y? = 10x %3D %3D

A: This is a problem of surface integral.

Q: Calculate the area of the shaded part y = x + 3 and y = x³ – 3x + 3. y3x+3 Area 1 Area 2 (2, 5) + y…

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Q: Find the radius of gyration of a plate covering the region bounded by y=3x, x=2, and the x-axis with…

A: Given: y=3x3   x=2

Q: What is the area of the enclosed surface bounded by the x-axis, x = 2 and y=x2 ?

A: The area under the curve can be calculated by the integration. The formula for the integration is…

Q: Find the surface area of the portion of the half ball with radius which cuts off by the cylinder x2…

A: Concept: The surface area of the half ball is given by: A=∬1+∂z∂y2+∂z∂x2dA Where ∂z∂y, ∂z∂x is the…

Q: Find the area of the plane z 2y + 5z = 13 cut out by the cylinder x² + y² = 9. area=

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Q: Find the area of the inside the circle r=6 and above the line r=3 csco.

A: Here, we need to find area of the region inside the circle r=6 and above the line r=3 cosec θ First…