The height in feet of a baseball can be modeled by the function y = −16t2 + 64t, where t is the time in seconds after the ball is hit. Find the baseball's maximum height and the time it takes to reach this height. Then find how long the baseball is in the air.

Shiny white dental insurance costs $258 per year. approximately one-third of insured people need a filling, which averages $110 each. 80% of insured people get a preventive check-up each year, and the average cost of this visit is $95. if you consider shiny white’s income and expenses, what is the expected value of each insured customer?

In the diagram below, tan θ = sqrt 3. what is the value of m?

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.