Question: MATH 202 In-class Worksheet #7 Name: 1. Find two numbers such that the sum of the first and twice the second is 100 and the

MATH 202 In-class Worksheet #7 Name: 1. Find two numbers such that the sum of the first and twice the second is 100 and the product is maximum. 2. A power station is on one side of a river that is 1/2 mile wide, and a factory is 6 miles downstream on the other side. It costs $6 per foot to run power lines overland and $8 per foot underwater. Find the most economical path for the transmission line from the power station to the factory. 3. Evaluate the following limits. Use L'Hopital's Rule where necessary. tanr x 1 o T Ty i Inz) (b) lim e , where m,n > (0 EF00 T () lim (1 x)

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