-2z Real and Imaginary Parts. Find Re and Im of e 2. Let z = x + iy. Re(e-2") Im(e-") =|

The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?

The annual percentage yield (APY) of an investmentaccount is a representation ofthe actual interest rateearned on a compounding account. It is based on acompounding period of one year. Show that the APYof an account that compounds monthly can be foundwith the formula APY=(1+r12)121.

Maria, a biologist is observing the growth pattern of a virus. She starts with 100 of the virus that grows at a rate of 10% per hour. She will check on the virus in 24 hours. How many viruses will she find?

Evaluate. Use a capital C for any constant. fracoz- 14(6z – 1) (6z – 2z – 1) d: dx %3D |

Let g(x) = 2x and h(x) = x- 5. Find the following. %3D 1 (g + h) 4 (g + h) 4 %3D (Simplify your answer.)

Let f (x) = 3x - 1 and g (a) = (x + 1)? . Find each of the following values. A. (f o g) (-1) = B. (g o f)(-1) = C. (f o f) (2) = D. (g o g) (2) = %3D E. (f o f)(-1)

Determine coefficients a and b such that p(x) = ax? + bæ +7 satisfies p(4) = -1 and p(4) = -6. a = %3D

y%3Dtan u, u= - 12x + 18