Please type variable for answer, just single latin lowercase letter. If you were calculating triple integral M f av R between parabola y = r + and sphere r' + y' + z² = 1 R What would be an optimal choice of inner variable?

Q: Identify the surface for z=r^

A: Given z=r2

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Q: Circle with center on x-axis (x−a)^2+y^2=r^2 with solution pls

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

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Q: Convert to standard from and give the center and radius: x^2+ Y^2 - 2x +6y - 1=0

A: x-h2 +y-k2 =r2 (h , k) is centre and r is radius .

Q: Find the center and radius of the sphere given by the equation x^2 + y^2 + z^2 + 4x − 6z + 4 = 0.…

A: Given equation of a sphere x2+y2+z2+4x−6z+4=0

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A: Given equation is, x2+14xy+245y2=4 The equation can be written as,…

Q: True or False The surface area of a sphere of radius r is 4/3 πr

A: Surface area of a sphere of radius of radius r is 43πr.

Q: 4) Use integration to find the area of the ellipse 4x² + y² = 9.

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Q: Find the equation of the sphere of radius at centered at (1, 4, 5)

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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: What is the radius of X x² + y² – 6x = -4y + 68? Show all work for full credit.

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Q: On a piece of paper, sketch each of the following surfaces: z=3x^2, 5 = z + x + 3y. For z = 3x^2,…

A: Given Surfaces:Surface 1: Surface 2: To find:a) The cross-sections with  fixed.b) The cross-sections…

Q: Describe the Dilation of Quadrilateral A to Quadrilateral B pictured below: B-9, 6) IMAGE A E(-10,…

A: Quadrilateral A is being dilated to the quadrilateral B. Quadrilateral A is being image A.…

Q: how/demostrate that the surface

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Q: dish whose shape will be formed by A group of engineers is building a parabolic sa rotating the…

A: Formula: The surface area obtained by rotating the curve y=f(x), a≤x≤b,  about the y−axis is given…

Q: Find the equation of the surface of revolution generated by rotating the parabola y = z^2 around the…

A: A surface of revolution generated by rotating a curve described by y=f(z) around z-axis is given as…