Complete the following problems. a. Express the area A of the cross-section cut from the ellipsoid b. Use slices perpendicular to the z-axis to find the volume V of the ellipsoid in part (a). 22 X² 3² 2² c. Now find the volume of the ellipsoid- 2 abc =1 by the plane z= d as a function of d. (The area of an ellipse with semiaxes a and b is rab.) 4 25 1. Does your formula give the volume of a sphere of radius a if a = b=c?

Q: 3. Find the right triangle of largest area inscribed under the parabola y = 4 – r² with its base…

A: Given: y=4-x2 Vertex of the parabola will be at 0,4 and the points where parabola intersect the…

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Q: 8.G is the centroid of an equilateral triangle ABC with base BC of side 60 cm If GBC is cut from the…

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Q: 11. 12. 13. 14. 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, and 22 Determine whether the series is…

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Q: Evaluate [[.(y+2/10 – z ) dS, where S is the surface cut from the par aboloid y +4z =36 by the…

A: Surface integral of a function f(x,y,z) on the surface S given by z=g(x,y) can be found by  ∫∫S…

Q: Use the computer to plot the surface x+ y +z = 1. What type of surface is this? Print your result…

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Q: Assume the equation for an ellipse is Ax +2Bxy + Cy D where D has the units of area. Show, by…

A: Given that Ax2+2Bxy+Cy2=D is an ellipse, where D has the units of area. To prove that the area of…