Unformatted text preview: yaxis. 6. (3 points) Suppose g ( y ) is deﬁned to be the value of x such that x 5 + x + 1 = y . For example, g (1) =1, g (1) = 0, g (3) = 1 and g (35) = 2. Evaluate ( g1 ) (1). 7. (5 points) An airplane ﬂies from New York to Los Angeles, a 3000 mile trip. It costs $2500 per hour to pay the crew and use the plane. The cost of fuel (in cents per mile) is equal to the velocity of the plane (in miles per hour). For example, it costs $6 per mile to travel 600 miles/hour. How fast should the plane ﬂy to minimize the cost of the trip? 8. (5 points) Compute the derivative: d dx Z √ ln xx et 2 dt , ( x > 1) 9. (3 points) Evaluate the limit by interpreting it as an integral: lim n →∞ " ± 1 + 2 n ² 9 2 n + ± 1 + 4 n ² 9 2 n + ± 1 + 6 n ² 9 2 n + ··· + ± 1 + 2 n n ² 9 2 n # ....
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 Spring '08
 WILKENING
 Math, Calculus

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