A: Given the function f(z) = ez². Is the function Analytic? B: Evaluate cot-¹(+12)

X+200p=10,000  X>0 P>0 express the revenue (price times units sold), R, as a function of p. R=

55. Antibiotic treatment. A biologist has a colony of a toxic strain of bacteria that covers 500 mm² in a petri dish. She observes that the area, in square millimeters, of the colony of bacteria t hours after an antibiotic is applied is given by A(t) = 500e-0.06t a) Find the area of the colony of bacteria after 2 hr, 5 hr, and 10 hr.

number 6

For the folwing function, find the locations and values of all realtive extrema: f(x)=1/6x^6-4x^5+25x^4