In each of Problems 25 through 31: (a) Find an integrating factor and solve the given equation. (b) Use a computer to draw several integral curves.
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- I only need help with problem 2.d. Thank you.Problem 3. A driver on a desert road discovers a hole in the gas tank leaking gas at the constant rate of 4 gallons per hour. This driver, having no way to plug the hole, decides to drive for as long as the gas supply allows. The gauge reading indicates the tank is three-fourths full, which means that the tank contains 14 gallons. The car consumes gas at the rate of 18 miles per gallon at 40 mph. For each 5 mph below 40 mph add one-half mile per gallon to this rate; for each 5 mph above 40 mph, subtract one mile per gallon from this rate. If the driver chooses the best constant speed in order to get the maximum driving distance, find the maximum distance that the 14 gallons will allow. Assume that gas consumption is a continuous function of speed.Problem 13. A truck is 300 miles due east of a car and is traveling west at the constant speed of 30 miles per hour. Meanwhile, the car is going north at the constant speed of 60 miles per hour. At what time will the car and truck be closest to each other?
- Formulate an LP model for the following problems.At the start of the millennium, State A was the third most populous state in the country, followed by State B. Since that time, State B has experienced faster growth. The population y (in millons) of the given state in year x is approximated by the following equations, where x = 0 corresponds to the year 2000, In what year did State B overtake State A in population? To the nearest million, what was the population of these states at that time? State B: 8y - 2x = 160 State A 13y - x = 296 The year State B overtook State A was (Type a whole number.) Clear all Check answ Help me solve this View an example Get more help - 7:3 3/2/2 delete horne brt sc Tum & 8. 5 RPlease solve for problem #3, thank you.