99年 - 99 淡江大學 轉學考 微積分#55507

科目：研究所、轉學考(插大)-微積分 | 年份：99年 | 選擇題數：0 | 申論題數：12

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所屬科目：研究所、轉學考(插大)-微積分

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申論題 (12)

1. Consider the function
Suppose that f(x) is continue at x = -1, then A =__.
【已刪除】2. 
3
【已刪除】4. 
5
6. = ___ 
7. For the equation 2x3y6 - 3x2 +6y3 = -1, then the slope of the tangent, line at, the point (2, -1) =____.
8. For I,lie function f(x) = x3 - 6x2 + 9x + 8 on the interval [-2,2], the absolute minimum value is____.
9. The area between two curves y = 3x2 - 3 and y = 2x + 5 from x = - 1 to x =3 is____.
10. For the function  , the horizontal asymptote is ___  
【已刪除】 二.計算題（每小題10分，共20分） 必須詳列計算過程，否則不予計分
1. A company manufactures two products. The price function for product A is p = 16 -x , , and for product B is g =  both in thousands of dollars, where x and y are the amounts of products A and D, respectively. If the cost function is  thousands of dollars, find the quantities and prices of the two products that maximize profit. Also find the maximum profit.
2. Find (.Iig volume under the surface f(x, y) = c-y over the region which is bounded by cm.vos y = x, y = 3x and x = 2.