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101年 - 101 國立成功大學轉學生招生考試試題_微積分_(全校)#113215
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5. Evaluate
dydx (10%)
其他申論題
b) Is f'(x) continuous at x=0 ? (6%)
#483715
2. Evaluate (10%)
#483716
3. Show that (12%)
#483717
4. The cardioid r= 2(1+cosθ) is rotated about the polar axis y=o.Find the area of the surface generated. (12%)
#483718
6. Convert dydx to polar coordinates and evaluate. (10%)
#483720
7. Findat the point (x,y,z)= (2,-1,1) if w=x2+y2+z2 and z3-xy+yz+y3=1 (10%)
#483721
8. Two sides of a triangle are 10cm and 15cm, and are increasing at 3cm/sec and 4cm/sec, respectively, which the included angle is π/3 and decreasing at 0.5 rad/sec. Is the third side increasing or decreasing? at what rate? (12%)
#483722
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