Find the determinant of the following matrix: a = [e^x cos x sin x e^x - sin x cos x e^x - cos x - sin x]. (this determinant is known as a wronskian: this will come up in chapter 4).

The class wants to raise a total of $750.if they receive a profit of $1.25 from each candybar sold, how many bars must they sell to reachtheir goal

With: label the vertices and all the elements needed. find x

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain