(c) The solid lies between planes perpendicular to the y-axis at y = 0 and y = 2. The cross-sections by planes perpendicular to the y-axis are circular disks with diameters running from the y-axis to the parabola r = V5y². (Answer: 87.)

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A: y=1-x2,  0≤x≤12 Differentiating with respect to x, we get dydx=121-x2·0-2x=-x1-x2

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A: Given

Q: A] Find the length of the arc of the semi-cubical parabola y2 x (1,1) and (5,5V5). 8250 between the…

A: Solution:Given        y2=x3    between the points (1,1) and (5,55)To find the Arc…

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A: Topic = Geometry The trace is Ellipse.

Q: 2. Evaluate dy, where C is the part of the parabola y = x² from (1, 1) to (2, 4).

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Q: For the surface 4x² +2²-y²=9, classify the trace when z = 1. O line O hyperbola O ellipse O parabola

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Q: What is the shortest distance from the surface xy +12x +z^2 =144 to the origin?

A: To find the shortest distance from surface xy +12x +z2 =144  to origin.

Q: PICTURE

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Q: a. Find the length of the arc of the semicubical parabola ay=x' , from x= to x= 5a.

A: Arc length of the curve

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A: We have been given the equation  4x² + y² −z = 0           (1)

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Q: (d) Find the area of the surface generated by revolving the curve y = 2a, 0 < x < 3, about the…

A: Part (D) To find the area of the surface generated by revolving the curve, y=2x,0≤x≤3, about the…

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Q: D is the region enclosed by the parabolas z = y²-9 and 2 - y² +9.

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A: NOTE: Refresh your page if you can't see any equations. . The diameter of the dish is 18 feet and…

Q: on below Find c> 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c…

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A: IN THIS QUESTION WE HAVE TO FIND AREA FROM REVOLUTION OF A ELLIPSE.

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