Let f(x) = x2 -x + 15 and g(x)= x2 log(x)-10. Prove that f(x) is O(g(x)) by 1. Providing witnesses C and k and,
2. Providing that the inequality holds for the value you choose in 1

Helen's credit card has an apr of 15.32% and a grace period of 17 days and helen pays her balance in the full every month. if her last billing cycle ended on september 26, 2009, and she made her payment on october 11, 2009, did she owe any interest on her last statement's balance?

The volume v and paper surface area a of a conical paper cup are given by where r is the radius of the base of the cone and h is the height of the cone. a. by eliminating h, obtain the expression for a as a function of r and v. b. create a user-de ned function that accepts r as the only argument and computes a for a given value of v. declare v to be global within the function. c. for v ! 10 in.3 , use the function with the fminbnd function to compute the value of r that minimizes the area a. what is the corresponding value of the height h? investigate the sensitivity of the solution by plotting v versus r. how much can r vary about its optimal value before the area increases 10 percent above its minimum value?

Choose the answers that best complete each sentence. on average,are more expensive than other kinds of postsecondary schools. the cost of room and board includes. to save money, some students attend auniversity in their home state.