Find the maximum and minimum values for P if any, Let P(t)=100+20 cos⁡6t,0≤t≤π/2.?

0 ≤ t ≤ π/2
0 ≤ 6t ≤ 3π
-1 ≤ cos(6t) ≤ 1
-20 ≤ 20 cos(6t) ≤ 20
100 - 20 ≤ 100 + 20 cos(6t) ≤ 100 + 20
80 ≤ P ≤ 120

The minimum value for P = 80
The maximum value for P = 120