Please help!

1.

A red and a blue car leave Bellevue at the same time. The red car drives north and the blue car drives west. The red car is going 65 kilometers per hour and the blue car is going 55 kilometers per hour. The day is overcast. After 5 hours, a) how far apart are the cars? C] kilometers b) how fast is the distance between the cars changing? C] km/ hr (Enter each answer as decimal rounded to 2 places.) At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 5 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 11 cm. (Note the answer is a positive number). \"\"3 min 'The area of a healing wound is given by A = 1W2. The radius is decreasing at the rate of 5 millimeter per day at the moment when 'r = 46. How fast is the area decreasing at that moment, to at least one decimal place? Sand is pouring out of a pipe and is forming a conical pile on the ground. incoming sand The radius of the pile is increasing at a rate of 3 feet per day. 1 conical The height is always Z of the radius. pile When the pile has a radius of 13 feet, 1 2 Volume: 3:: (radius) height a) the Volume is C] cubic feet b) the rate of change of the VOLUME is C] cubic feet per day.. Write your answers as decimal numbers rounded to 2 decimal places. An inverted pyramid is being lled with water at a constant rate of 65 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 4 cm, and the height is 7 cm. Find the rate at which the water level is rising when the water level is 5 cm. A balloon is rising at a rate of 6 meters per second from a point on the ground 43 meters from an observer. Find the rate of change of the angle of elevation from the observer to the balloon when the balloon is 27 meters above the ground. When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PVl'4 = C where C is a constant. Suppose that at a certain instant the volume is 430 cubic centimeters and the pressure is 91 kPa and is decreasing at a rate of 13 kPa/ minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? cm\"i min (Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals. )