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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
3.Find the following derivatives:
(a) Let y=
and u=
, find
.
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10.z=x2y+3xy4 , where x=sin 2t，y=cos t . Find when t =0.
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(a)
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(b)
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2.Find the area of region bounded by the curve: y=x3-6x2+8x and x-axis.
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(b) Given x2 y-xy2+x2+y2=0, find .
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(a)the critical points.
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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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7.Find the equation of the tangent plane to the surface x2-2y2+z2+yz-2=0at the point (2,1,-1).
#527869
and u=
, find
.
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and u=, find.