課程名稱︰微積分乙上
課程性質︰系定必修
課程教師︰劉瓊如
開課學院:
開課系所︰醫學院各系、農化、公衛、生科系
考試日期(年月日)︰97/12/18
考試時限(分鐘):20分
是否需發放獎勵金:yes
試題 :
(1) Let f(x)= x^(2/3)
(a) Use the Newton's method to derive the algorithm.
(Write down the relation about x(n+1) and x(n))
(b) Does the sequence x(n) converge for arbitrary initial approximation
x(1)doesn't equal to 0?
(2) Find f if
f''(x)= 3x^(-1/2) satisfying f'(4)= 20, f(4)= 7
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