Solve the problem.Find the volume of the solid generated by revolving the region enclosed by the ellipse 4x2 + 25y2 = 100 about the x-axis.

A.
B.
C. 4?2
D.


Answer: D

Mathematics

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Write interval notation.{x? x < 5}

A. (5, ?) B. [5, ?) C. (-?, 5) D. (-?, 5]

Mathematics

Solve the problem.In order to purchase a home, a family borrows $60,000 at an annual interest rate of 11%, to be paid back over a 30 year period in equal monthly payments. Find the total amount paid to the finance company for the life of the loan. Round your answer the nearest dollar.

A. $199,461 B. $205,702 C. $201,934 D. $198,000

Mathematics

Find the derivative of the function.y = (3x2 + 5x + 1)3/2

A. y' = (6x + 5)(3x2 + 5x + 1)1/2
B. y' = (3x2 + 5x + 1)1/2
C. y' = (3x2 + 5x + 1)1/2
D. y' = (6x + 5)(3x2 + 5x + 1)1/2

Mathematics

Find the dimension of the matrix. Tell if the matrix is a square, column, or row matrix, when applicable.

A. 5 B. 4 C. 2 × 2; square D. 5 × 5; square

Mathematics