1. Assume you use a revolutionary green car, whose fuel consumption per hour is proportional to...

Transcribed Image Text:

1. Assume you use a revolutionary green car, whose fuel consumption per hour is proportional to the square root the car' speed. You have to travel 750 km from Windhoek to a village at a constant speed, in a dust storm with a strong headwind of 25 km per hour. Assume that the minimum speed allowed on that road is 20km/h and the maximum speed (due to the storm) is 80 km/h. At what speed should you travel to minimize your fuel consumption. [20] 2. Use only one substitution u = .. and show all the steps to find : [10] sec x dx 1-2 sec2 x 3. Use the substitution rule only, and show all the steps to evaluate : [10] V1 + cos t dt; take u = cos 1. Assume you use a revolutionary green car, whose fuel consumption per hour is proportional to the square root the car' speed. You have to travel 750 km from Windhoek to a village at a constant speed, in a dust storm with a strong headwind of 25 km per hour. Assume that the minimum speed allowed on that road is 20km/h and the maximum speed (due to the storm) is 80 km/h. At what speed should you travel to minimize your fuel consumption. [20] 2. Use only one substitution u = .. and show all the steps to find : [10] sec x dx 1-2 sec2 x 3. Use the substitution rule only, and show all the steps to evaluate : [10] V1 + cos t dt; take u = cos