A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 37 ft/s. Its height in feet after t seconds is given by y : 37t 25t2. A. Find the average velocity for the time period beginning when t=3 and lasting .01 s: iv .005 s: 9; .002 s: y; .001 s: 9'. NOTE: For the above answers, you may have to enter 6 or 7 signicant digits if you are using a calculator. B. Estimate the instanteneous velocity when t=3. it 17 Write an integral in the form P = / f(s) d3 such that P expresses the increase in the perimeter of a square when its side length, 3, increases from 5 units to 15 units. Evaluate the a integral to nd the change in perimeter. a = A 17: y" f(8) = A Change in perimeter = y Using the substitution u = 8x2 + 2, find the following indefinite integral. -4x dac = 8x2 + 2 (Use C for the constant of integration.)