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112年 - 112 台灣糖業股份有限公司_新進工員甄試_電機：基本電學#118780
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題組內容
二、如圖【19】所示電路，電源電壓
，已知電路平均功率為800W，請算出下列問題：
(3)電路的功率因數為多少？(3分)
其他申論題
(2)串聯諧振之品質因數Q(4分)
#506397
(3)串聯諧振時電感器上的電壓(3分)
#506398
(1)電源電壓vS(t)表示式中的E為多少？(4分)
#506399
(2)電路的視在功率為多少？(3分)
#506400
1. A rectangle is bounded by the x-axis and the semicircle. What width and length should the rectangle have so that its area is a maximum? ( 10 分)
#506402
2. Consider a function described by f(x)=(I+x)2. Find the points on the graph of y=(1+x)2that are closest to the point, (5,3).(10分) Note: Point (a, b) means that the projections of the point on the x and y axes have coordinates a and b, respectively, in the rectangular coordinate system in plane.
#506403
3. Find an equation of the tangent line to the graph of at x=2. (10分)
#506404
4. Evaluate the integral, ∫(x2 -2)exp(x3 -6x)dx, in which exp(●) denotes the natural exponential function.(10 分)
#506405
5. Find the volume under the surface z=exp(-x-y) and above the triangle with vertices (0,0),(1,0),and (0,1).(10分)
#506406
6. Find the Taylor series of the function f(x)=In(x) about x=1, in which In(●) denotes the natural logarithmic function. Moreover, find the radius of convergence and the interval of convergence for this series.(10分)
#506407
，已知電路平均功率為800W，請算出下列問題：
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，已知電路平均功率為800W，請算出下列問題：