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Find both limits below: do they exist/not exist?
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- For two points (x1, y1) and (x2, y2) such that xi > 0, yi > 0 for i = 1, 2, we say (x2, y2)majorizes (x1, y1) ifYou are building a right-angled triangular flower garden along a stream. The fencing of the left border costs $8 per foot, while the fencing of the lower border costs $2 per foot. (No fencing is required along the river.) You want to spend $480 and enclose as much area as possible. What are the dimensions of your garden, and what area does it enclose? [The area of a right-triangle is given by A = xy/2.]Solve this problem using the indeterminate coefficients method: y" +2y' + y = 2cos(2x)+3x+2+3e^x