New Exam Prep
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New Exam Prep
Sample questions with model answers
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Solve the following linear programming problem graphically : Maximize $Z = 10500x + 9000y$ Subject to constraints $x+y \le 50$, $2x+y \le 80$, $x, y \ge 0$
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Graph the constraints and find the optimal solution.
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A rectangle of perimeter 36 cm is revolved around one of its sides to sweep out a cylinder of maximum volume.
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Use optimization to find dimensions for maximum volume.
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If the volume of a solid hemisphere increases at a uniform rate, prove that its surface area varies inversely as its radius.
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Surface area $A = 2\pi r^2$ varies inversely with volume $V = \frac{2}{3}\pi r^3$.
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Find : $\int \frac{x+2}{\sqrt{9x-x^2}} dx$
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Use substitution to solve the integral.
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