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

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Advance Math

  1. police car is traveling south towards the intersection that arobber’s car has just crossed traveling east. The robber’s car iscurrently traveling 55 mph. The police car’s speed is currently 63mph. How is the distance between the cars changing when the cop is1.2 miles from the intersection, and the robber is .5 miles fromit? Be sure to answer in a complete sentence.

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

3. We want to construct a box whosebase is length is 5 times the width.  The material usedto build the top and bottom cost $9 per sq. ft. and the materialused to build the sides cost $7 per sq. ft.  If the boxmust have a volume of 75 cu. ft., determine the dimensions thatwill minimize the cost to build the box.

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