MAT 270 Quiz Accumulation & Integral Name_____________________ A malfunctioning fridge has a rate of change of temperature function rT in degrees F/min for the 15 minute period shown. The temperature in the fridge is 40 degrees F at 3 p.m. (x = 0 minutes). 1) Describe generally how the temperature changes from 3 p.m. to 3:15 p.m. (x : 015) 2) Estimate the first time after 3 p.m. when the temperature returns to 40 degrees F. _______ 3) Approximately when in these 15 minutes is the temperature the lowest? _______ ...the highest? _______ 4) Write a definition of a function AT that gives the exact accumulation of changes in temperature in the fridge at any time x minutes after 3 pm: 5) Write a definition of the function T, the exact temperature in the fridge x minutes after 3 pm: 6) Using rT, sketch the function T on the axes above at right. 7) Express the temperature in the fridge at 3:10 p.m. in two ways: using function notation, and using an integral. 8) Express the change in temperature from 3:01 to 3:05 pm in two different ways, as in #7. 9) Express the largest increase in temperature during this 15 minutes, in two different ways as in #7. MAT 270 Quiz Accumulation & Integral Name_____________________ Keep this side up until given notice to turn over and begin