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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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7.Find the equation of the tangent plane to the surface
x
2
-2y
2
+z
2
+yz-2=0
at the point (2,1,-1).
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(b)the interval on which f is increasing.
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6.Determine the following series for convergence or divergenceEvaluate where D is bounded by |x|=1,z=x2-y2 and z ≥ 0.
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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?
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(a)
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(b)
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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?.
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(a) f(x) = (x9 + 8)lnx
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(b) f(x) = ln
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