The temperature over a 9-hour period is given by Upper T (t )equalsnegative t squared plus 4 t plus 34. (a) Find the average temperature. (b) Find the minimum temperature. (c) Find the maximum temperature.

(a) 25 degrees

(b) -11 degrees

(c) 38 degrees

Step-by-step explanation:

The temperature function is:

(a) The average value for a temperature is:

In this particular case, the average temperature is:

The average temperature is 25 degrees.

(b) The expression is a parabola that is concave down, therefore there are no local minimums, which means that the minimum temperature will be at one of the extremities of the interval:

The minimum temperature is -11 degrees.

(c) The maximum temperature will occur at the point for which the derivate of the temperature function is zero:

At t = 2, the temperature is:

The maximum temperature is 38 degrees.

if you was gonna solve for a, a is a   < -12