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
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Find an equation of the line. Write the equation using function notation.,
A. y = x +
B. f(x) = x +
C. f(x) = 4x -
D. y = 4x -
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.
Plot the ordered pairs on the rectangular coordinate system provided.A(6, 5), B(-4, -2)
What will be an ideal response?
Simplify the complex number and write it in standard form.
?
?
A. -1 B. ?-i C. ?1 D. ?i E. 5