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Favorites courses1.webwork.maa.org WeBWork petroleumlnst-math26 WeBWork petroleuminst-math261 Set11_4.4.4.5:7 webwork petroleuminst-math261 set11 4.4 4.55 7 MAIN MENU Courses Homework Sets Set 11 4.4 Set 11 4.4 4.5: Problem 7 4.5 Previous Problem List Next User Settings (1 point) Let y be the solution of the initial value problem Grades Problems The maximum value of y is -2/3sinx+1/3sin(2x0 Problem 1... Preview My Answers Submit Answers Problem 2 Problem 3 You have attempted this problem 3 times. Your overall recorded score is 0%. Problem 4 You have unlimited attempts remaining. Problem 5 Problem 6 Problem 7 Email instructor Page generated at 03/18/2017 at 06:44pm GST WeBWork 1996-2016 l theme: math4 ersion 2.12 pg version: 2.12 The WeBWork Project db

Explanation / Answer

Your solution is correct. To find y max just differentiate and solve y' = 0 in the usual way. You will need cos2x = 2(cosx)^2 - 1. Ymax = (sqrt3)/2.

EDIT. One of the solutions to y' = 0 is x = 4pi/3 ----> y = (sqrt3)/2

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