5 questions , please answer all in steps for the (tutorial exercise)

Find the absolute maximum and absolute minimum values of f on the given interval. 1. f(x) = 17 + 2x - x , [0, 5] absolute minimum value 5,2 absolute maximum value 1,18 This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise 2. A force of 9 lb is required to hold a spring stretched 6 in. beyond its natural length. How much work W is done in stretching it from its natural length to 11 in. beyond its natural length? This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise 3. Find the derivative of the function. f(t) = 6t sin(it) This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise 4. Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table t (h) 8 10 r (t ) (L/h ) 8.3 7.8 6.5 6.1 5.8 5.2 Find lower and upper estimates for the total amount of oil (in liters) that leaked from the tank over the interval [0, 10]. Consider the following. (If an answer does not exist, enter DNE.) 5. f( x) = - ex + 6 Find the interval(s) on which f is concave up. (Enter your answer using interval notation.) Find the interval(s) on which f is concave down. (Enter your answer using interval notation.) Find the inflection point of f. (x, y) =(