The objective of this problem is to compare second-order accurate forward, backward, and centered finite difference approximations (three-point formulae) of the first deriva-tive of a function to the actual value of the derivative. This will be done forf(x) = 5e−2x.(a) Use calculus to determine the correct value of the derivative atx= 2.

In a survey of 1015 adults, a polling agency asked, "when you retire, do you think you will have enough money to live comfortably or not. of the 1015 surveyed, 534 stated that they were worried about having enough money to live comfortably in retirement. construct a 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.