1. After we find the expression of and , we should first a. use the integral by parts formula . b. find the expression of . c. integral both sides of d. calculate the derivative of expression. , isolate the , then integrate both sides of expression. 2. If a cup of coffee has temperature 95 in a room where the temperature is 20, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t)=20+75e^(-t/50). What is the average temperature of the coffee during the second half hour? ( is SECOND half hour, t=60) Show your result with two digits on the right side of decimal point 3. 4. the number of people in a community who have contracted a particular flu virus is increasing at a rate of people per day, where t is the number of day after the start of the month. How many people contracted the flu from the 10th to the 20th day of the month? 5. 6. 7. 8. 9. 10. Show your result with two digits on the right side of decimal point 11. right side of decimal point Show your result with two digits on the 1. 2. 3. 4. 5. 6. 7. . 8. 9. Show your result with two digits on the right side of decimal point \f\f\f\f\f\f\f\f