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15.(6 pts.) A house H is located in the woods7 6 miles from the nearest point7 A, on a straight road. A restaurant, R, is

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15.(6 pts.) A house H is located in the woods7 6 miles from the nearest point7 A, on a straight road. A restaurant, R, is located 12 miles down the road from A. Jack can ride his bike 2 miles per hour in the woods and 10 miles per hour along the road. He decides to ride the bike through the woods to some intermediate point B , :5 miles from A, and then ride along the road to R. Since he is starving, he wants to minimize his time. Which of the following is the function to be minimized? Do not solve the rest of the problem! (a) 12 + 101' 6 : (E A x B R b 3 '' ( ) + 10 { 12 , V36 + x2 m (C) 2 + E (d) 2x/36 + x2 + 10(12 35) V36 + x2 12 :c (e) 2 + 10

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