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106年 - 106 國立臺南大學_轉學生招生考試試題_電機工程學系二年級：微積分#124190
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題組內容
5.Let f(x)=
-6x+8. Find:
(b)the interval on which f is increasing.
其他申論題
(a) Let y= and u=, find.
#527863
(b) Given x2 y-xy2+x2+y2=0, find .
#527864
4.Find
#527865
(a)the critical points.
#527866
6.Determine the following series for convergence or divergenceEvaluate where D is bounded by |x|=1,z=x2-y2 and z ≥ 0.
#527868
7.Find the equation of the tangent plane to the surface x2-2y2+z2+yz-2=0at the point (2,1,-1).
#527869
1. (20%) The US Postal Service (USPS) will accept only packages with length plus girth no more than 108 inches(See the figure). What are the dimensions of the largestvolume package the USPS will accept?
#527870
(a)
#527871
(b)
#527872
3. (20%) I want to fence in a rectangular vegetable patch. The fencing for the east and west sides costs $5 per foot, while the fencing for the north and south sidescosts only $3 per foot. I have a budget of $150 for the project. What is the largestarea I can enclose?.
#527873
-6x+8. Find:
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-6x+8. Find: