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Quiz 9 Solution

# Quiz 9 Solution - are measured in miles Since and are...

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Quiz 9 04/29/08 Calculus 1 1. Car A is going west at 50 mi/h and car B is going north at 60 mi/h. Both are headed for the intersection of the two roads. At what rate are the cars approaching each other when car A is 0.3 mi and car B is 0.4 mi from the intersection? Solution . At a given time let be the distance from car to the point of intersection and let be the distance from car B to and let be the distance between the cars, where

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Unformatted text preview: are measured in miles. Since and are decreasing we take the derivatives to be negative and so we are given mi/h and mi/h. To find we use the Pythagorean Theorem, namely and differentiate with respect to time . We have and by solving for we have Now when mi and mi we have mi and so 2. Integrate: (find the antiderivative) dx x x x x x ) tan sec 4 cos 6 sec 2 ( 2 +--∫ Solution C x x x x + +--sec 4 sin 6 tan 2 3 2 2 3...
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