Rotate the ellipse =1 around the x -axis to approximate the volume of a football, as seen here.

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A: The given ellipse equation is 36x2+25y2+72x-50y-839=0. First write the equation in standard form as…

Q: Sketch the surface..........CYLINDERS............. x2 + y2 = 4

A: x2+y2=4 Now, rewrite the above surface for the function as, z=fx,y. z=fx,y=4-x2-y2

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Q: Let a > 0 and b > 0. Show that the area of the ellipse x2/ a2 + y2/ b2 = 1 is ab

A: Given that, The equation of the ellipse  x2/ a2 + y2/ b2 = 1 , where a > 0 and b > 0. Solve…

Q: Use integration and trigonometric substitution to find the area enclosed by the ellipse: X^2 /9 +y^2…

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Q: The diameter and height of a paraboloid are 1 m and 2 m respectively. Determine its dimensions when…

A: Given, Diameterd=1 mHeighth=2 m The formula for finding the volume of the paraboloid is, V=π2hr2

Q: A football is 16 inches long, and a plane section containing the seam of the cover is an ellipse 8…

A: Given that, Football is an ellipsoid The formula to find ellipsoid is, V=43πabc Given that, a=162=8…

Q: An ellipse + 1 is revolved around the y-axis. The volume generated by the solid of revolution if a =…

A: Let us first calculate the y value on the ellipse at x = t.   From the equation of the ellipse, at x…

Q: Two friends visit a whispering gallery (in the shape of a semiellipsoid) where they stand 100m apart…

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Q: Find the area of the segment of a sphere formed by revolving the graph of       y = √(r2 − x2) , 0 ≤…

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Q: An oocyte is an immature reproductive cell found in many sexually reproducing organisms. A crawfish…

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Q: find the center of mass of a thin plate of constantdensity d covering the given region. The region…

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Q: 57. Use a change of variables to prove that the area of the ellipse with equation (-) + ) : -1 is…

A: Explanation: Given that, the standard equation of the ellipse is: x2a2+y2b2=1 Solve for…

Q: What is the relation of the conic section to the oblong plate?

A: Key Points A conic section (or simply conic) is a curve obtained as the intersection of the surface…

Q: What is the area of the conic (x + 3) + y 25

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Q: find the exact perimeter of the ellipse x2/a2 + y2/b2 = 1. (No approximations) please show all the…

A: Consider the provided question,

Q: A three dimensional solid is created by rotating a circle about one of its diameters. What is the…

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Q: Determine the surface area generated by revolving the line segments about y-axis. 3m 4m 2m 1m 2m 2m…

A: Given , Line segment revolve around y-axis , we have to find surface area of formed shape .

Q: Find the area of the surface obtained by revolving the graph of y = √x(4x − 3)/6, 1 ≤ x ≤ 9 about…

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Q: What is the shape of the vertical cross section of this solid figure that does not pass through the…

A: 2)circle

Q: The circle x2 + y2 = a2 is rotated about the x-axis to generate a sphere. Find its volume.

A: we have been given that the circle x2 + y2 = a2 is rotated about the x-axis to generate a sphere. we…

Q: If the shape below is rotated around the y-axis, what is the volume of the resulting shape? Round to…

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Q: Find the area of the surface obtained by rotating the parabola 1 y = 0 <x < 2, about the y-axis.

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Q: By integration, show that : 8. The area of an ellipse with semi axes a and b is A = nab.

A: Integration of function expression with respect to x or y gives the area under function curve and…

Q: 8. 9. 2- -5 5. 10 -2-

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Q: Which of the following is NOT a method for finding volume of solids of revolution? A conic method B…

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Q: What is the maximum area of a rectangle inscribed in the ellipse 25 + y? = 1?

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Q: Find the area inside the ellipse x2a2+y2b2=1.

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Q: Find the area of the surface obtained by rotating the parabola 1 0 <x < 2, about the y-axis.

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Q: find the surfase area of ellipsoid obtained by yevoiving the upper-half of the ellipse…

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Q: Rotate the ellipse  x2 a2 +  y2 b2 = 1  around the x-axis to approximate the volume (in units3) of…

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Q: Q2. Fin the mass of an octant of the ellipsoid =1,

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Q: Suppose that the ellipse 142 is rotated about the x-axis to generate an ellipsoid. Find its volume.

A: Recall: Suppose that y=f(x) is a continuous non-negative function on the interval [a,b].The volume…

Q: y = x2 3. Find the center of mass of thin plate . For the shaded region_in the shape.

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Q: d the volume of this rectangular pyramic sure to include the correct unit in your a

A: Here we have to find the volume of the rectangular pyramid.    We have, l=7 in w=3 in  h= 7 in

Q: Find the mass of a thin plate occupying the smaller region cut from the ellipse x2 + 4y2 = 12 by the…

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Q: The base of a body is an ellipse with axis lengths of 10 cm and 8 cm. Find the volume of the object…

A: First we have to find the Area of Ellipse A(x): A(x)=πab The given lengths are a=10 cm and b=8 cm…

Q: Find the volumes of the solids generated if the upper half of the ellipse 9x2 + 25y2 = 225 is…

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Q: x, y From a variable point of an ellipse - + 2 = Inormal is drawn to the ellipse. %3D a' b? Find the…

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Q: Find the volume of the solid formed if we rotate the ellipse+ = 1 about the line 4x + 3y = 20.

A: Calculation of Volume.

Q: Rotate the ellipse ( x 2 / a 2 ) + ( y 2 / b 2 ) = 1 around the x-axis to approximate the volume (in…

A: Rotate the ellipse (x2/a2)+(y2/b2) = 1 around the x-axis to approximate the volume of a football.

Q: メ y= oL Xとn2

A: Given curve is y=ex , 0≤x≤ln2find the area of the surface

Q: Find the volume of the solid of revolution if a quarter of an ellipse in the first quadrant with…

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Q: Find the area of the surface of revolution generated by revolving about the x-axis the arc of the…

A: y2=12x ⇒y=23x ⇒dydx=3x ⇒dydx2=3x2 ⇒dydx2=3x ⇒1+dydx2=1+3x ⇒1+dydx2=1+3x

Q: Find the area enclosed by the ellipse (x2/a2) + (y2/b2) = 1

A: Consider the given equation as x2a2+y2b2=1

Q: Find the area enclosed by the ellipse x2  / a 2    +   y2   /b 2    =1

A: Given ellipse is The ellipse meet x-axis at points (-a,0) and (a,0) and y-axis at points (0,-b) and…

Q: Describe the cross section of the solid below

A: If you like the solution then please give it a thumbs up...  The Answer is : The Cross section is a…

Q: Find the dimensions of the rectangie of largest area that can be inscribed in the ellipse x + 256y =…

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