Need Fully correct solution to both problems Asap Let f(x, y) = -2y + 8xy. Assume f is subject to a constraint 2x + 2y 24. Atwhich one of the following points can f attain its maximum given the constraint?(36/5,24/5)(3,2)(9/5,6/5)(3,7),2What is the value of limI-00 C -bæ?-a/ba/ca/-cnot exist

Answered: Image /qna-images/answer/55ea6fce-24a0-4286-8be9-7fc0bc3e7d3d.jpg

Answered: Let f(x, y) = -2y + 8xy. Assume f is…

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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need comprehensive and correct answers.This question is about optimization.
A sprinter runs a 100meter dash at a constant rate of 8.25. Meters per second . A liner constraints models the relationship between the number of seconds since the start of the race an the distance remaining until the sprinter reaches the finish line. If the number of seconds since the distance remaining until the sprinter reaches the finish line if the number of seconds since the start of the race is independent variable which of the following solutions is viable. A.(5.5,54.625) B. (-2,116.5) C.(13,-7.25) D.(4.76)
A tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chessboard. On the second square, the King would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining squares, how many grains of wheat should be placed on a square 16? Also, find the total number of grains of wheat on the board at this time and their total weight in pounds. (Assume that each grain of wheat weighs 1/7000 pounds.)
I keep getting these last two parts of this problem wrong, could someone show me how to solve it, please? (also, I know the third option for multiple choice isn't correct)

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Let f(x, y) = -2y + 8xy. Assume f is subject to a constraint 2x + 2y 24. At which one of the following points can f attain its maximum given the constraint? (36/5,24/5) (3,2) (9/5,6/5) (3,7) ax? What is the value of lim T-00 C - bæ? -a/b O a/c O al-c not exist