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A: Solution is here
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Q: 2) x² + y² - 16x + 18y +96= 0
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- The base of a rectangular box, open at the top, is to be three times as long as it is wide.Find the dimensions of the box with minimal surface area if the volume of the box is to be 2250 cubicinches. Show and organize your work; use the first derivative test or the second derivative test orother tools to check that yours is the desired optimal solution.Integrate xtanx with respect to xSometimes the second derivative test is harder to use, even if it applies. Use the first derivative test to find the local maxima and minima of f(x) = (x)/ (1+ x^2) and compare to the effort in finding the second derivative.