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A: We will find out the required solution.
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A: Solution:-dxdt=x-y+3x3-2xy2dydt=-x+y+3y3-2x2ydxdtdydt=x-y+x3x2-2y2-x+y+y3y2-2x2Hence 0,0 is…
Q: system
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Q: Find the general solution of the given system. dx/dt = -(5/2)x + 4y dy/dt = (3/4)x - 3y =________
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Q: 1. Use operator / elimination method to solve the given system dx dy + = 2x + 2y + 1 dt dt dx dy y +…
A: Since you posted multiple questions, we will solve first question for you.
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A: Critical points
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Verify the functions and plot the solution curve on the x-y plane
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- The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is approximated by R(x,y) = 16+329x+275y-8x²-6y² - 11xy. Find the number of each that should be sold to produce maximum revenue. Find the maximum revenue. Find the derivatives Rxx, Ryy, and Rxy- Rxx = -16, Ryy = -12, Rxy = -11 Selling spas and solar heaters gives the maximum revenue of $ (Simplify your answers.)y = (x' - 2x² +3) (7x² – 4x)What kinds of changes occur in the Coefficients of a Nonbasic Variable when the original model is changed?
- Solve for the general solution: (D² + 2D - 8)y = 0. y = cle^(4x) + c2e^(-2x) O y = cle^(-4x) + c2e^(2x) O y = cle^(4x) + c2e^(2x) O y = cle^(-4x) + c2e^(-2x)The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is approximated by R(x,y)=14+400x+278y−8x2−4y2−10xy. Find the number of each that should be sold to produce maximum revenue. Find the maximum revenue. Find the derivatives Rxx = ? Ryy = ? Rxy = ? Selling ? spas and ? solar heaters gives the maximum revenue of $ ?. (Simplify your answers.)Find the maximum value of f(x.y) = 84 -x² - y² on the line x+ 9y = 82. The maximum value of f(x.y) = 84 - x2 - y² on the line x+ 9y = 82 is (Simplify your answer.)