1.A ball is thrown straight up from the second floor of a building. The height of the ball can be modeled by h (t) = -412 + 12+ + 16, where h is the height of the ball in feet after seconds.
Determine the maximum height of the ball and the time at which the ball reaches this height. Use mathematics to justify your answer.
Include proper units.
2. Determine the length of time the ball was in the air. use mathematics to justify your answer. Include proper units.

Determine domain and range, largest open interval, and intervals which function is continuous.

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.

In order for the function to be linear, what must m be and why? m = 22 because the rate of change is 1. m = 20 because the rate of change is 3. m = 22 because the rate of change is -1. m = 20 because the rate of change is -3.