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.

33% of college students say they use credit cards because of the rewards program. you randomly select 10 college students and ask each to name the reason he or she uses credit cards. find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. if convenient, use technology to find the probabilities.

1.based of the diagrams what is the the value of x? 2.how would you verify your answer for x

The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. the support post is 8 ft tall. the distance from the front of the house to the support post is less than the distance from the post to the back of the house. how far from the front of the house is the support post positioned?