Let pn(x) be the Taylor polynomial of order n for the function f(x) =e^x at base point 0. How large should n be chosen to guarantee that |ex−pn(x)| ≤10^−5 for x in the interval [−1,1].

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.

Will possibly give brainliest and a high rating. choose the linear inequality that describes the graph. the gray area represents the shaded region. 4x + y > 4 4x – y ≥ 4 4x + y < 4 4x + y ≥ 4

1) you deposit $2,500 in an account that earns 4% simple interest. how much do you earn in eight years?