For each value below, enter the number correct to four decimal places. Suppose an arrow is shot upward on the moon with a velocity of 52 m/s, then its height in meters after t seconds is given (t) = 52t - 0.83t ^2. Find the average velocity over the given time intervals. [4, 4.5]: [4, 4.1]: [4, 4.01]: [4, 4.001]: Find the average rate of change of f(x)=8x*2-5 on the interval [5, b]. Your answer will be an expression involving b Given f(x)= 1 / x+5, find the average rate of change of f(x) on the interval [3,3+h]. Your answer will be an expression involving h. NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 25 ft/s. Its height in feet after t seconds is given by y = 25t - 27t^ 2. A. Find the average velocity for the time period beginning when t=1 and lasting Estimate the instanteneous velocity when t=1. : .01 5: .005 5: .002 5: 001 5: If f(x)=x ^9, then f (x)= If g(x)=-7x^4, then g'(x)= If h(x)=1/x 5, then h'(x)=