Consider the function f(x)equalscosine left parenthesis x squared right parenthesis. a. differentiate the taylor series about 0 for f(x). b. identify the function represented by the differentiated series. c. give the interval of convergence of the power series for the derivative.

Li buys supplies so he can make and sell key chains. he begins to make a profit only after he sells 4 key chains. what point on the graph makes the most sense in this situation?

Aroulette wheel has 38 slots in which the ball can land. two of the slots are green, 18 are red, and 18 are black. the ball is equally likely to land in any slot. the roulette wheel is going to be spun twice, and the outcomes of the two spins are independent. the probability that it lands one time on red and another time on black in any order is(a) 0.5 (b) 0.25 (c) 0.4488 (d) 0.2244

Rewrite the polynomial -9x5 + 36x4 + 189x3 in factored form.