3\" 27$ Let F(a:) : dt for 700

Let dt for oo < c < +00 o t2+5 (a) Find the value of where F obtains its maximum value. (b) Find the intervals over which F is only increasing or decreasing. Use interval notation using U for union and enter "none" if no interval. Intervals where F is increasing: Intervals where F is decreasing: (c) Find open intervals over which F is only concave up or concave down. Use interval notation using U for union and enter "none" if no interval. Intervals where F is concave up: Intervals where F is concave down: