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107年 - 107 東吳大學_暑假轉學生招生考試_財務工程與精算數學系三年級:微積分#105834
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題組內容
請詳述計算過程與理由,僅寫答案者不予計分
9. Find the integral
其他申論題
5. Find the extreme values of on the region described by the inequality:
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6. Find the area enclosed by the line and the parabola .
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7. Evaluate the integral
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8. Evaluate 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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2. Find the derivative of .
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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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