For the function, y=2cosx+cotx, π≤x≤2pi, find the critical numbers, the intervals of increase and decrease, and any maximum and minimum values. Express the max and min values to two decimal places.

Find the value. a. 0.003 b. 0.03 c. 0.3 d. 3

Allie is playing basketball. she takes a shot 24 ft away from the basket. when the ball is 4 ft away from her, it is at height of 10 ft above the floor. the ball reachs its highest point of 18 ft above the floor, when it is 12 ft away from her? a. find the value of a b. if the hoop is 10 ft high, how close would allie to be to make the basketball

Calculate ∬y da where r is the region between the disks x^2+y^2 < =1 & x^2+(y-1)^2 < =1 show all work. (also explain why you split up the regions)