The rate of change of the temperature in a museum during a junior high school field trip can be modeled as

T(h) = 9.07h³ 24.64h² + 14.84h 0.06

where output is measured in F per hour and h is the number of hours after 8:30 A.M.

(a) Calculate the area of the region that lies above the axis between the graph of T and the h-axis between 8:30 A.M. and 10:15 A.M. (Round your answer to three decimal places.)

(blank) Interpret the answer.Sometime on the interval from 8:30 A.M. to 10:15 A.M., the temperature (increased or decreased) by (blank) F.

(b) Calculate the area of the region that lies below the axis between the graph of T and the h-axis between 8:30 A.M. and 10:15 A.M. (Round your answer to three decimal places.)

(blank) Interpret the answer.The temperature (increased or decreased) by (blank) F sometime on the interval between 8:30 A.M. to 10:15 A.M.

Please fill in the blanks and state answers clearly. Thank you!