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96年 - 96 台灣聯合大學系統(清、交、陽、中四校聯招)學士班轉學生聯合招生試題：微積分#113217
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3. Find the maximum value of x
2
+ y
2
subject to the constraint x
2
- 2x + y
2
- 4y = 0.
其他申論題
9. Suppose the utility of purchases of x,y,z units of three different kinds of product is given by , where the price per unit of the products is $2, $5, and $1, respectively. If a consumer has $90 to spend, how many units of each product should be purchased to achieve maximum utility ? (12%)
#483723
題目：九年一貫課綱有「尊重生命」素養，但是全球化、資本主義與政治聯手之下，尊重生命淪為空談，人類視而不見，聽而不聞。試就這 兩年南北極冬季溫度比往常高出近三十度，各大洲澇旱頻繁，野火叢生，各國社會動盪，罔顧人命與人性事件層出不窮，論九年一貫課綱之：「體會生命的意義及存在的價值」
#483724
1. If f is a continuous function such that dt for all s, Aad an explicit formula for f(x).
#483725
2. In what direction is the derivative of f(x, y) =at P(1,1) equal to zero?
#483726
4. Suppose that f(0) = -3 and f'(x) ≤5 for all values of x. How large can f(2) possibly be?
#483728
5. Find the tangent plane of the surface cos πx - x2y+ exz + yz = 4 at the point P0(0, 1, 2).
#483729
6. Evaluate dA, where R is the parallelogram enclosed by the lines x - 2y = 0, x-2y=4,3x-y=1 and 3x -y = 8.
#483730
7. Find the area of the surface cut from he paraboloid x2 + y2 - z = 0 by the plane z = 2.
#483731
8. Evaluate the integraldy along the circle C : (x-2)2+(y-3)2= 4.
#483732
(a)
#483733
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