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- 7. (15%) Compute the area of the hemisphere of radius *t> 0 and centered at the origin given by S = {(x,y,z) ∈ R³ | x² + y² + z² = t², z>0}
- 6. (15%) Evaluate the following integral I = ∫√(2xyz²) dx + (x²z² + z cos(yz)) dy + (2x²yz + y cos(yz)) dz along the line segment L from P: (0,0,1) to Q: (2,π/4,2)
- 5. (15%) Evaluate the following integral ∫F⋅dr along the curve C = {(x,y,z) ∈ R³ | x² + y² = 4, z = -3}, oriented counterclockwise as seen by a person standing at the origin and with respect to the right-handed Cartesian coordinates, where F = yi + xz³j – zy³k, r = dr/ds is the unit tangent vector, and *sis the arc length of C
- 50. 針織物(Knitting Fabric )可分為兩大類包括緯編織物與下列何者?
(A) 紗羅織物 (B) 地毯織物 (C) 經編織物 (D) 非織物
- 49. 下列何種服裝用布料所需之伸度最大?
(A) 裙子 (B) 內衣褲 (C) 泳裝 (D) 襯衫
- 48. T/C混紡織物包含棉纖維與何種纖維?
(A) 聚酯纖維 (B) 亞克力纖維 (C) 羊毛 (D) 麻纖維
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