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ma110final_project.f09

ma110final_project.f09 - Math 110 Final Project Directions...

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Math 110 Name:_____________________________________ Final Project Fall 2009 Directions: Do each of the following problems. Show all work for credit. Circle all final answers. 1. Person X starts walking west from point P at the rate of 5.6 ft/sec. Sixty five seconds later, Person Y starts jogging due south from point P at a rate of 8.4 ft/sec. At what rate is the distance between the two changing 8 minutes after Person Y begins jogging from point P ?

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2. Find the equation of the tangent line at the point - 3 3 ln , 0 for 3 2 2 2 2 ln x x x e e e y + =
3. An electronics store can sell 60 cellular phones per week at a price of \$60. The manager estimates that for each \$5 reduction in price she can sell 30 more phones per week. The phones cost the store \$35 each. At what price should the store manager set the price so that she maximizes profit?

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4.a. Differentiate implicitly and solve for dx dy or y : xy e e y e y x x = - ln 2 2 ) ln( ln 4b. Differentiate implicity but do not solve for dx dy or y : ( 29 ( 29 y x y x e xy ln ln 3 ln 2 5 + = +
Evaluate the following limits if they exist:

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ma110final_project.f09 - Math 110 Final Project Directions...

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