Determines the volume generated by curves x² + y² =25 and y² - 6x +15= 0, when rotating around the Y axis

Q: Find the coordinnates of a point on the oarabola y\power{2}=8x whose focal distance is 4.

A: Parabola.  y2=8x.  and Focal distance = 4

Q: Find the surface generated when the curve y=((1/4)x^2)-((1/2)lnx), 1< X < 2 is rotated about the…

A: The given curve equation is, y=14x2-12lnx in interval 1&lt;x&lt;2 about the y-axis. Surface about…

Q: Find a center of mass of a thin plate of density 8 = 3 bounded by the lines y = x and x = 0 and the…

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Q: What is dyldx at the point (1,2) of xy^2 + 2xy 8 ?

A: The given equation is: xy2+2xy=8...(1)

Q: where does this concave up and down?

A: A graph is concave up if f''x&gt;0 and concave down if f''x&lt;0. When f''x&gt;0, it means…

Q: Find the aoea of surtace genesated by se volving the icu8ve どラスラ! about y-auis.

A: Given data: The curve is given by, The given limits is,

Q: Find the area of the surface obtained by rotating the curve y = x about y-axis for 1< y< 3.

A: We have to find surface area

Q: Find a center of mass of a thin plate of density 8 = 5 bounded by the lines y = x and x = 0 and the…

A: Center of mass of the plate is given by  x,y=MyM,MxM here M=∫∫D δx,ydAMx=∫∫D yδx,ydAMy=∫∫D xδx,ydA…

Q: Find the area of the surface obtained by rotating the curve y = √5x from x = 0 to = 4 about the…

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Q: Find the area of the surface generated by revolving x=t^2      y=2t.     t∈0,4) around the x-axis

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Q: Find the area of the surface generated when the curve: =y=+on [1,2] is rotated about the x-axis. 2 0…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…