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(1 point) At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship B is sailing north at 23 knots. How fast (in knots) is the distance between the ships changing at 3 PM? The distance is changing at knots. (Note: 1 knot is a speed of 1 nautical mile per hour.) (1 point) If two resistors with resistances R, and R2 are connected in parallel, as in the figure, then the total resistance R, measured in Ohms ($2), is given by: R RI R2 If R, and R2 are increasing at rates of .3 $2/s and .2 $2/s, respectively, how fast is R increasing when R, = 80 0 and R2 = 100 027 (1 point) A television camera is positioned 4000 fr from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. Let's assume the rocket rises vertically and its speed is 600 ft/s when it has risen 3000 ft. (a) How fast is the distance from the television camera to the rocket changing at that moment? (b) If the television camera is always kept aimed at the rocket, how fast is the camera's angle of elevation changing at that same moment? (a) ftls radis