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Q: Find the area of the surface generated by revolving the curve about they-axis. y=81-x²,05x59 A B…

A: Given :y=81-x20≤x≤9

Q: Describe a surface of revolution in your own words.

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Q: Find the area of the surface. The portion of the cone z = 6Vx2 + y2 inside the cylinder x² + y² = 16

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Q: Find the surface area of a sphere of radius .

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Q: ortion of the surface z = 3x + 20 that lies inside x^2 + y^2 = 4. Sketch the surface accurately.…

A: Introduction: The formula of the surface z=f(x,y), that lies inside the region R is given by,…

Q: Explain Cylinder Surface?

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Q: 2.) Locate the X-X and Y-Y centroidal axes for the area shown. Assume the "circle" is aligned…

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Q: explain the geometric relationship between the answer found in part b and the surface defined above

A: In part (b) we calculated gradient of F at (0, 1, 2).

Q: Identify the type of surface (in space) given by the equation, and sketch the surface. a. x^2+y^2=25

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: how do you find the lateral surface of a rectangular prism

A: The lateral surface area of a rectangular prism is the sum of the surface area of all its faces…

Q: (b) Find the surface area of a hemisphere of radius a.

A: Remark: We know that the surface area of a sphere with radius 'a' unit is = 4πa2 square unit. Also,…

Q: 6-21. Locate the centroid y of the area. 4 ft =1/2² -4 ft- Probs, 6-20/21

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Q: Use Green's theorem to find the area between ellipse 16 = 1 and circle x2 + y2 = 25.

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Q: What quadric surface is the following an equation for and how do you know? -9x^2-3x+y^2+z^2= 1/4

A: The given quadratic equation is .We know that the quadratic surface of the form  form a cone.

Q: Determine the lateral surface area of a truncated circular cylinder whose longest and shortest…

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Q: Sketch and describe the surface created by p=2 csc(ø).

A: Coordinate systems are used to represent a point in three dimensions. The cylindrical-coordinate…

Q: A company wants to build a cylindric closed petroleum barrel with 4 feet height in a way that the…

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Q: Find the equation of the surface of revolution that is generated by rotating the parabola y = x^2…

A: Equation of surface of revolution of a curve about y-axis is given by x2+z2=r2 where r is the radius…

Q: how/demostrate that the surface

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Q: 5.) Find the surface area of the figure. * 16 in 17 in Your answer

A: Topic- surface area of cone

Q: Find area the Surface generaled by re volving 3. メ=y about y-aXis

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Q: how do i find surface area for a regular pyriamid

A: Let's find.

Q: Find the equation of the surface of revolution generated by rotating the hyperbola x^2 - y ^2=1 ,…

A: \ Revolution of the hyperbola about its transverse axis generates a surface of two sheets, two…