If an arrow is shot upward on Mars with a speed of 58 m/s, its height in meters t seconds later is given by y = 58t - 1.86t2. (Round your answers to two decimal places.) (a) Find the average speed over the given time intervals. (i) [1, 2] Xm/s (ii [1, 1.5 m/s (iii) [1, 1.1 m/s (iv) [1, 1.01] m/s (v) [1, 1.001] m/s (b) Estimate the speed when t = 1. m/s

When drugs are administered into the bloodstream, the amount of the drug present decreases continuously at a constant rate. The amount of a certain drug, Xanaz, in the bloodstream is modeled by the function, where is the initial dosage, and t is the time (in hours) after the initial dose was given. The following chart shows the relationship between the original dose and how much is sti in the system after so much time. Xanax (3mg) amount still in system after X hours 2.5 1.5 0.5 2 10 12 14 16 18 20 22 24 Number of hours after dose was taken After how many hours will there be approximately 1/2 of the original dose in the body? 3. 2. 1. Amount still in the system in mg's