In Exercises 15-20 we suggest the use of technology. Round all answers to two decimal places.
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Finite Mathematics
- In a hybrid-engine vehicle, energy from battery (“b" in Amperes) and from 95 octane unleaded gasoline ("g" in liters) are used intermittently to maximize the distance to be travelled (mileage) between fill- ups and charge-ups. If mileage (M) in kilometers is found out to be: M= 90 b+ 100 g - 3 b' - 5 g? - 2 b g find the values of “b" and “g" that will maximize mileage M, find the maximum mileage and prove that this is a maximum.arrow_forward2. A football is punted into the air. Its height h, in metres, after t seconds is given by the equation h=-4.9t +24.5t +1. How high is the ball after 1 second? Find the maximum height of the ball to one decimal place. b)arrow_forwardTwo towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest to A and B are 6 km apart. Where should a station be located to minimize the length of the new road from A to S to B? (grade 12 calculus, use derivatives)arrow_forward
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