Consider the function. (if an answer does not exist, enter dne.) f(x) = x4 − 6x3 (a) determine intervals where f is increasing or decreasing. (enter your answers using interval notation.) increasing decreasing(b) determine the local minima and maxima of f. (enter your answers as comma-separated lists.) locations of local minima x = locations of local maxima x = (c) determine intervals where f is concave up or concave down. (enter your answers using interval notation.) concave up concave down (d) determine the locations of inflection points of f. (enter your answers as a comma-separated list.) x =

The table above shows approximate conversions from gallons to liters. what is the value of x?

Me on this one i will give you 20pts. answer should be in detail . this is the discussion topic. one of the most fiercely debated topics in sports is the hot hand theory. the hot hand theory says that success breeds success. in other words, rather than each shot a basketball player takes or each at-bat a baseball player has being an independent event, the outcome of one event affects the next event. that is, a player can get hot and make a lot of shots in a row or get a lot of hits in a row. the hot hand theory, however, has been shown to be false in numerous academic studies. read this article, which discusses the hot hand theory as it relates to a professional basketball player. state whether you agree or disagree with the hot hand theory, and give reasons for your opinion. be sure to use some of the terms you’ve learned in this unit, such as independent event, dependent event, and conditional probability, in your answer.

Ametal rod is 2/5 meters long. it will be cut into pieces that are each 1/30 meters long. how many pieces will be made from the rod?