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In: Advanced Math

police car is traveling south towards the intersection that a robber’s car has just crossed traveling...

  1. police car is traveling south towards the intersection that a robber’s car has just crossed traveling east. The robber’s car is currently traveling 55 mph. The police car’s speed is currently 63 mph. How is the distance between the cars changing when the cop is 1.2 miles from the intersection, and the robber is .5 miles from it? Be sure to answer in a complete sentence.

2. In calm water, an oil spill spreads out in a circular fashion. Suppose the radius, r, of the spill is increasing by 3 feet per minute. How fast is the area, A, of the spill growing when the radius is 10 feet? Be sure to answer in a complete sentence.

3. We want to construct a box whose base is length is 5 times the width.  The material used to build the top and bottom cost $9 per sq. ft. and the material used to build the sides cost $7 per sq. ft.  If the box must have a volume of 75 cu. ft., determine the dimensions that will minimize the cost to build the box.

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Expert Solution

Colby Messinger answered 2 years ago
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