The fuel efficiency, E, in miles per gallon of an SUV depends on its weight in pounds, w:E(w).0000016 w².016w+54 (1800 ≤ w≤ 5400)+30+20-10W5501050010001500 2000 2500 3000 35004000 4500 50001. The point (2000, 28.4) lies on this graph. Interpret what this means in terms of fuel efficiencyand weight.Answer questions 2 and 3 below in each of three ways:a. Estimate the answer by looking at the graph above.b. Obtain a more accurate estimate by graphing y=E(w) on your graphing calculator andusing the appropriate function under the CALC menu.c. Obtain the exact answer by using algebra. (Show your work!)2. What is the weight of the least fuel efficient SUV? How many miles per gallon does the leastfuel efficient SUV get?2a.2b.2c.

For algebraic part 2c we will use calculus For relative maximum or minimum To maximize or minimize…

Answered: The fuel efficiency, E, in miles per…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The total number t of items that a manufacturing company can produce is directly proportional to the number n of employees.
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Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your car averages 29 miles per gallon on the highway if your average speed is 48 miles per hour, and it averages 26 miles per gallon on the highway if your average speed is 65 miles per hour. Answer parts (a) and (b) below. a. What is the driving time for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the driving time at 65 miles per hour? The driving time at 48 miles per hour is hours. (Type an integer or decimal rounded to two decimal places as needed.) The driving time is at 65 miles per hour is (Round to two decimal places as needed.) b. Assume a gasoline price of $4.43 per gallon. What is the gasoline cost for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the gasoline cost at 65 miles per hour? The gasoline cost at 48 miles per hour is $ (Round to two decimal places as needed.) hours. The…
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