Find a simple function g of the smallest order so that f(x) is big-o of g(x). in your estimation you can use theorems learned in lecture about the big-o estimates of sums/products of functions. f(x) = (x 2.3 + x ln x 5 )(1.1 x+1 + 1.2 x ) + (x 2 + 1.2 x )(x 3 + 0.92x )

Suppose sat writing scores are normally distributed with a mean of 497 and a standard deviation of 109. a university plans to award scholarships to students whose scores are in the top 2%. what is the minimum score required for the scholarship? round your answer to the nearest whole number, if necessary.

Evaluate cos2θ for cosθ = square root of 3/2

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes