Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = 5x2, y = 0, x = 3

A. ?
B. 810?
C. 90?
D. ?


Answer: D

Mathematics

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Find  for the given function.y = 3 cot 

A. -6 csc 
B. -  csc2 
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Give all possible rational zeros for the polynomial.f(x) = x3 - 9x2 + 8x - 24

A. ±1, ±2, ±3, ±4, ±24
B. ±1, ±2, ±3, ±4, ±6, ±12, ±24
C. ±1, ± , ±2, ±3, ±4, ±6, ±8, ±12, ±24
D. ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

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Find the unit vector having the same direction as v.v = 7i

A. u = i
B. u = 7i
C. u = i
D. u = 49i

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Find all solutions of the equation in the complex number system.(x + 5)(x - 3i)(x + 3i) = 0

A. {-5} B. {-5i, 3i, -3i} C. {-5, 3, -3} D. {-5, 3i, -3i}

Mathematics