(a) Suppose Car 1 is traveling west at 50mi/h and Car 2 is traveling north at 60 mi/h. Both are headed to the same intersection of the two roads. At what rate are the cars approaching each other when Car 1 is 0.3 mi and Car 2 is 0.4 mi from the intersection? (b) A hot air balloon rising straight up from a level field is tracked by a man 500ft from the liftoff point. The man's elevation angle(angle between the ground and the man's line of sight up to the balloon) is increasing at a rate of 0.14 rad/min. How fast is the balloon rising when the man's angle of elevation is "? (c) The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 20cm and the width is 10 cm, how fast is the area of the area of the rectangle increasing?

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