Help with the following question. 5. In this problem, F(x, y) = (y² +2, 2xy + 3y) and C is the line segment from (4, 2) to (0,3).a) Find potential function p(x, y) such that Vy = F.-) Evaluate[F. dr.F. dr. Simplify your answer.

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Answered: 5. In this problem, F(x, y) = (y² +2,…

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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Complete the following sentence. For b>0, -b = %3D For b>0, -b =O (Type an exact answer, using radicals as needed.) Vi (1,1) More e Type here to search 79 Cop 米 esc & 23 %24 3 4
Match these values of r with the accompanying scatterplots: - 0.994, 0.76, 0.994, - 0.374, and - 0.76. Click the icon to view the scatterplots. Match the values of r to the scatterplots. i Scatterplots Scatterplot 1, r= Scatterplot 2, r= Scatterplot 3, r = Scatterplot 1 Scatterplot 2 Scatterplot 3 Scatterplot 4, r= 8- 8- 8- Scatterplot 5, r = 6- 6- 6- > 4- 4- 4- 2- 2- 2- 0+ 0- 0- 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 Scatterplot 4 Scatterplot 5 8- 6- -2- -4– > 4- -6- 2- -8- 04 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 X of of of of of
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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…
Match these values of r with the accompanying scatterplots: 1, 0.997, - 0.405, 0.405, and - 0.761. W Click the icon to view the scatterplots. i Scatterplots Match the values of r to the scatterplots. Scatterplot 1, r= Scatterplot 2, r = Scatterplot 1 Scatterplot 2 Scat Scatterplot 3, r= 8- 8- 8- Scatterplot 4, r = 6- 6- 6- Scatterplot 5, r= > 4- 4- 4- 2- 2- 2- 0+ 0.2 0,4 0,6 0.8 0- 0.2 0.4 0.6 0.8 0+ 0.2 0.4 1 1 Scatterplot 4 Scatterplot 5 15- 8- 14- 6- 13- 4- 12- 11- 2- 10+ ó 0.2 0.4 0.6 0.8 0- 0.2 0.4 0.6 0.8 1 Print Done

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5. In this problem, F(x, y) = (y² +2, 2xy + 3y) and C is the line segment from (4, 2) to (0,3). a) Find potential function p(x, y) such that Vy = F. Evaluate [F F. dr. Simplify your answer. 111