Complete the following problems. a. Express the area A of the cross-section cut from the...

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Complete the following problems. ₂² a. Express the area A of the cross-section cut from the ellipsoid x² 16 25 = 1 by the plane z = d as a function of d. (The area of an ellipse with semiaxes a and b is tab.) b. Use slices perpendicular to the z-axis to find the volume V of the ellipsoid in part (a). c. Now find the volume of the ellipsoid + 5+ = 1. Does your formula give the volume of a sphere of radius a if a = b = c? ✓² a. Express the area A of the cross-section cut from the ellipsoid x² + = 1 by the plane z = d as a function of d. (The area of an ellipse with semiaxes a and b is tab.) 16 25 A = square units (Type an exact answer, using as needed.) b. Use slices perpendicular to the z-axis to find the volume V₁ of the ellipsoid in part (a). V₁ = units cubed (Type an exact answer, using as needed.) c. Now find the volume V₂ of the ellipsoid- V₂ = units cubed (Type an exact answer, using as needed.) ... = 1. Complete the following problems. ₂² a. Express the area A of the cross-section cut from the ellipsoid x² 16 25 = 1 by the plane z = d as a function of d. (The area of an ellipse with semiaxes a and b is tab.) b. Use slices perpendicular to the z-axis to find the volume V of the ellipsoid in part (a). c. Now find the volume of the ellipsoid + 5+ = 1. Does your formula give the volume of a sphere of radius a if a = b = c? ✓² a. Express the area A of the cross-section cut from the ellipsoid x² + = 1 by the plane z = d as a function of d. (The area of an ellipse with semiaxes a and b is tab.) 16 25 A = square units (Type an exact answer, using as needed.) b. Use slices perpendicular to the z-axis to find the volume V₁ of the ellipsoid in part (a). V₁ = units cubed (Type an exact answer, using as needed.) c. Now find the volume V₂ of the ellipsoid- V₂ = units cubed (Type an exact answer, using as needed.) ... = 1. Complete the following problems. ₂² a. Express the area A of the cross-section cut from the ellipsoid x² 16 25 = 1 by the plane z = d as a function of d. (The area of an ellipse with semiaxes a and b is tab.) b. Use slices perpendicular to the z-axis to find the volume V of the ellipsoid in part (a). c. Now find the volume of the ellipsoid + 5+ = 1. Does your formula give the volume of a sphere of radius a if a = b = c? ✓² a. Express the area A of the cross-section cut from the ellipsoid x² + = 1 by the plane z = d as a function of d. (The area of an ellipse with semiaxes a and b is tab.) 16 25 A = square units (Type an exact answer, using as needed.) b. Use slices perpendicular to the z-axis to find the volume V₁ of the ellipsoid in part (a). V₁ = units cubed (Type an exact answer, using as needed.) c. Now find the volume V₂ of the ellipsoid- V₂ = units cubed (Type an exact answer, using as needed.) ... = 1. Complete the following problems. ₂² a. Express the area A of the cross-section cut from the ellipsoid x² 16 25 = 1 by the plane z = d as a function of d. (The area of an ellipse with semiaxes a and b is tab.) b. Use slices perpendicular to the z-axis to find the volume V of the ellipsoid in part (a). c. Now find the volume of the ellipsoid + 5+ = 1. Does your formula give the volume of a sphere of radius a if a = b = c? ✓² a. Express the area A of the cross-section cut from the ellipsoid x² + = 1 by the plane z = d as a function of d. (The area of an ellipse with semiaxes a and b is tab.) 16 25 A = square units (Type an exact answer, using as needed.) b. Use slices perpendicular to the z-axis to find the volume V₁ of the ellipsoid in part (a). V₁ = units cubed (Type an exact answer, using as needed.) c. Now find the volume V₂ of the ellipsoid- V₂ = units cubed (Type an exact answer, using as needed.) ... = 1.

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