Consider the function ()=(−4)3. Use ′()=4(−1)(−4)2 and ′′()=12(−2)(−4) to: a. Find all x and y intercepts, and any asymptotes. b. Find the critical points c. Determine the intervals where f is increasing/decreasing and find all local extrema. d. Determine the intervals where f is concave up/concave down and find all points of inflection. e. Then sketch the graph, labeling all extrema and points of inflection. You may use the attached grid to organize your work.

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

When 142 is added to a number the result is 64 more then 3 times the number. option 35 37 39 41

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?