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.

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3

Deshawn uses 3/4 of a box of rice to cook dinner the portion he uses weighs 12 ounces right and solve an equation to find the weight of the full box of rice