作者travellerjay (travellerjay)
看板NTU-Exam
标题[试题] 97上 刘琼如 微积分乙上 第五次小考
时间Sat Jan 10 19:41:23 2009
课程名称︰微积分乙上
课程性质︰系定必修
课程教师︰刘琼如
开课学院:
开课系所︰医学院各系、农化、公卫、生科系
考试日期(年月日)︰97/12/18
考试时限(分钟):20分
是否需发放奖励金:yes
试题 :
(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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