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. Yellow

B. Orange

C. Pink

D. Blue


Answer: A

Mathematics

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Use the graph to estimate any solutions to the given equation on the interval tan x = cot x 

A.  ,  ,  , 
B.  , 
C. 0 ,  , ? , 
D.  , 

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Use the Laws of Exponents to simplify. Write the answer with positive exponents. All variables are nonzero.3 ? m-5 ? m-2 ? m0

A. 0
B. 3m10
C.
D. - 

Mathematics

Provide an appropriate response.Solve for x: log x = log 3 + 2 log 4

Fill in the blank(s) with the appropriate word(s).

Mathematics

The sequence is defined recursively. Write the first four terms.a1 = 1; an = an-1 - 2

A. a1 = 1, a2 = 3 , a3 = 5 , a4 = 7 B. a1 = 1, a2 = 1 , a3 = -1 , a4 = -3 C. a1 = -2, a2 = -4, a3 = -6, a4 = -8 D. a1 = 1, a2 = -1, a3 = -3, a4 = -5

Mathematics