Avariable star is one whose brightness alternately increases and decreases. for one such star, the time between periods of maximum brightness is 5.7 days, the average brightness (or magnitude) of the star is 4.2, and its brightness varies by ±0.25 magnitude. find a function that models the brightness of the star as a function of time (in days), t. (assume that at t = 0 the brightness of the star is 4.2 and that it is increasing.)

1point) a skydiver weighing 130 lb (including equipment) falls vertically downward from an altitude of 14,000 ft and opens the parachute after 20 s of free fall. assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.85|v|0.85|v| when the parachute is closed and is of magnitude 17|v|17|v| when the parachute is open, where the velocity vv is measured in ft/s. assume that acceleration due to gravity has magnitude 32 ft/s/s; remember that weight is the product of mass and gravitational acceleration. find the speed of the skydiver when the parachute opens. speed is 150.6121788 ft/s find the skydiver's height when the parachute opens. height is 2338.98591 ft find the limiting velocity vlvl after the parachute opens. (think about whether this should be positive or negative.) vl=vl= 7.647 ft/s