The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D ( t ) = 2 sin ( π 3 t + 5 π 3 ) + 5 where t is the number of hours after midnight. Find the rate at which the depth is changing at 2 a. m. Round your answer to 4 decimal places.

The graph shows the prices of different numbers of bushels of corn at a store in the current year. the table shows the prices of different numbers of bushels of corn at the same store in the previous year. previous year number of bushels price of corn (dollars) 2 10 4 20 6 30 8 40 part a: describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. part b: how many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? show your work.

Of four points are collinear, they are also coplanar

If eh = hg and hg=16, find the diameter of k