Solve the problem.For a complex number C, define z0 = 0, z1 = C, z2 = (z1)2 + C = C2 + C z3 = (z2)2 + C = (C2 + C)2 + C . . . zn+1 = + C (square the previous answer and add C).The Mandelbrot set is usually displayed by giving each complex number C = a + bi a color determined by the smallest integer n for which  ? 2. Use the above definition, the definition  and the table below to find the color assigned to the given complex

number.  Smallest value of n for which  > 2Color1Pink2Yellow3Orange4BlueC = 1 + i



A. Pink

B. Blue

C. Orange

D. Yellow


Answer: A

Mathematics

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Simplify. Be sure to rationalize the denominator. Assume that all variables represent positive real numbers.

A. 1
B.
C.
D.

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Given f(x) and g(x), find the composition.f(x) = ; g(x) = 3x + 9Find (g ? f)(5).

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B. 3
C.
D. -24

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Find the derivative.y = 

A. y' = x + 
B. y' = 1 + 
C. y' = 1 - 
D. y' = 1 + 

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