Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not exist, enter DNE.)

f (x) = cosπx/2

Find the legth of the missing side of the triangle

Twice the sum of x and 3 is less than 5

James works as a tutor and a lawn mower. Both jobs require that he work at least three hours per week. Since James attends school, he can only work 15 hours a week.

Farmer Tom raises ducks and horses on his farm. All of his horses need new horseshoes. He calls the farrier (a person who puts shoes on horses) but has a difficult time remembering how many of each animal he owns.

Gary needs to run20 miles in one week. if he runs 2 1/4 miles for 7 days, would he reach his goal? How much more or less will he have to run

Jeff goes to the fair and spends a fourth of his money on the ticket and half of his money on food. If he spent a total of $24, how much did he arrive with

Jenny wants to multiply out the brackets in the expression 3 (2a+1) she writes 3 (2a+1) = 6a+1 show why jenny is wrong

What is the solution to - 122 < - 3 (-2 - 8x) - 8x? A. x < 8 B. x > 5 C. x > - 8 D. x < - 2

2 kitchen assistants can prepare 10 kg of vegetables in 60 minutes. How long would it take 15 assistants to prepare the same amount?

What number has 2 hundreds, the same number of tens as hundreds, and 2 more ones than hundreds?