Determine whether the statement is true or false. if it is true, explain why it is true. if it is false, give an example to show why it is false. (assume the f is continuous on [a, b].) if f ''(x) < 0 on (a, b) and f '(c) = 0 where a < c < b, then f(c) is the absolute maximum value of f on [a, b].

The  height must be greater han 300 ft above the ground, then d> 300
the inequality will be:
-16t²+1000> 300

we can solve this inequality.
  -16t²+1000> 300
-16t²> 300-1000
-16t²> -700
-t²> -700/16
-t²> -43.75
t²< 43.75
t< √43.75
t< 6.61  or  (0 ,  6.61)

answer: the inequality willl be : -16t²+1000> 300,  and the interval of time taken by the object to reach the height greater than 300 ft above the ground will be (0 , 6.61) seconds.