A manufacturer of shirts determines that her fixed costs will be 500 dollars plus 9 dollars for each shirt made. The demand curve is p = 30-0.2(x)^1/2 where x is the number of shirts sold. (a) Write the formula for the profit function. (b) How many shirts should be produced to maximize profit? (c) At what price will the shirts be sold? (d) What is her resulting profit

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A: To Show: y=x sinx is a solution to y''+y=2cosx

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A: Note:as per guidelines we Support only three subparts of the questions.kindly repost next question…

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A: Given differential equation is :

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A: Please refer too the image below

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A: We will use  Ratio-Test to find the solution

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A: We will find the anti derivative.

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