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研究所、轉學考(插大)-微積分
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95年 - 95 淡江大學轉學考_理工組二年級：微積分#56156
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(9) Show that the parabola y = -x
2
and ihe line x-4y- 18 = 0 intersect al right angle al one of their points of intersection (於二個交點之一以直角相交）.
其他申論題
【已刪除】(5)
#213464
(6) Let f (x,y)=xey.frnd the maximun rate of change of f at the point(2,0).
#213465
【已刪除】(7)
#213466
【已刪除】(8) Find the interval of convergence (收斂區間)of the power series
#213467
(10) A ladder (梯）10 feet long rests against a vertical wall (斜靠於一垂直牆面).of the bottom (底）of the ladder slides away (滑開）from the wall at a rate of 1 fl/sec, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 6ft from the wall?
#213469
(11) Find the volume of the solid obtained by rotating (旋轉)the region (區域)bounded by y=x- x2 and - 0 about Ihe line x = 2
#213470
【已刪除】(12) Determine wheLlter converges absolutely, converges condhionally, or diverges (要清楚寫出判斷之依據)
#213471
(13) Tlie plane x+y+z = 1 cuts ( 切過）the cylinder (圓柱）x2 + y2 = 1 in an ellipse (橢圓）.Use Lagrange multipliers lo find the points on the ellipse that lie closest to (最近)and farthest from (最遠)the origin (原 點）.
#213472
(1) 012Ah+0E27h.
#213473
(2) E12Ah+9E27h.
#213474
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