Solve the problem.If the curve z = x2 in the xz-plane is revolved about the z-axis, the resulting surface has equation z = x2 + y2, obtained as a result of replacing x by . If y = 6x2 in the xy-plane is revolved about the y-axis, what is the equation of the resulting surface?

A. y = 6x2 - 6z2
B. y = 6x2 + 6y2
C. y = 6x2 + 6z2
D. y = x2 + z2


Answer: C

Mathematics

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A. y = x + 
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Solve the problem.Suppose that certain bacteria can double their size and divide every 30 minutes. Write a recursive sequence that describes this growth where each value of n represents a 30-minute interval. Let a1 = 490 represent the initial number of bacteria present.

A. a1 = 490; an = 2 an+1  for n > 1.
B. an = 2 a1  for all values of n.
C. a1 = 490; an =  an-1  for n > 1.
D. a1 = 490; an = 2 an-1  for n > 1.

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Plot the ordered pairs on the rectangular coordinate system provided.A(6, 5), B(-4, -2)

What will be an ideal response?

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Simplify the complex number and write it in standard form. ? ?

A. -1 B. ?-i C. ?1 D. ?i E. 5

Mathematics