1a/1b/2a/2b/3

1. One of those scary fish with a light on its head is moving along the r-axis according to the function s (t ) = -t2 - 20Vt, where t is measured in minutes, and s(t) is measured in leagues. a) Compute the average velocity of the fish between t = 0 and t = 4. b) Find the instantaneous velocity of the fish at time t = 4. Is the fish moving to the left or to the right at this time? 2. Suppose that f(x) is a function such that f(3 + h) - f(3) = e2h - 1 for all h # 0. a) Find the slope of the secant line passing through the points (3, f(3)) and (5, f (5)). b) Find the slope of the tangent line to the graph of f at I = 3. 3. Find the equation of the tangent line to the graph of y = 4sin rcosr at I =