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107年 - 107 東吳大學_暑假轉學生招生考試_資訊管理學系二年級:微積分#105835
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2. Find the derivative of
.
其他申論題
7. Evaluate the integral
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8. Evaluate the integral
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9. Find the integral
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1. For , find (a) the equation of the secant line through points whose x coordinates are 0 and 2, (b) the equation of the tangent line when x = -2.
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(a)
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4. Let the demand and supply functions for q units of a certain item be p = D(q) = and p = S(q) = , q > 1, where p is in dollars. Its cost function is C(q) = . Find (a) equilibrium quantity; (b) break-even quantity.
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5. Find two nonnegative numbers x and y for which 4x + y = 50, such that x2y is maximized.
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6. Suppose income from an investment starts (at time 0) at $5500 a year and increases linearly and continuously at a rate of $400 a year. Find the capital value at an interest rate of 5% compounded continuously.
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7. Find
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(b)
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