(new ways to find taylor series) it's not always easy to write down taylor series representations by computing all the successive derivatives of a function as follows. (a) find, by evaluating derivatives at 0, the first three nonzero terms in the taylor series about 0 for the function sin2 (b) use taylor series expansions already established in the text or class such as e", sin a, and cos z to find an infinite series representation expansion for the function g(x) - sin2. 3. use taylor series expansions already established in the text or class such as e", sinx, and cos a to find the sums of the series 27n (a) x02 a2n n! (c) ? 000 22 "(2n)!

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Consider the following estimates from the early 2010s of shares of income to each group. country poorest 40% next 30% richest 30% bolivia 10 25 65 chile 10 20 70 uruguay 20 30 50 1.) using the 4-point curved line drawing tool, plot the lorenz curve for bolivia. properly label your curve. 2.) using the 4-point curved line drawing tool, plot the lorenz curve for uruguay. properly label your curve.

He ! a group of farmers planned to clean 80 acres of wheat per day to finish the work on schedule. right before the work started, they received a new piece of machinery that them clean 10 more acres per day than originally planned. as a result of increased productivity in the last day before the deadline they only had to clean 30 acres. how many acres of wheat did the group of farmers have to clean?