作者aa921775 (鸡翅)
看板trans_math
标题[微分] 请大家帮帮我呗...^^"
时间Wed Oct 25 00:36:05 2006
想请问一下各位大大们两题微分的题目~!!麻烦罗~!!
谢谢~!!
第一题
show that the length of the portion of any tangent line to the astroid
X的2/3次方+Y的2/3次方=a的2/3次方 cut off by the coordinate axes is constant
第二题
(a)Find the linearization of f(x)=(1+3x)的1/3次方 at a=0.State the correspond
-ing linear approximation and use it to give an approximate value for (1.03)
的1/3次方.
(b)Determine the values of x for which the linear approximation given in
part(a) is accurate to within 0.1
第二题有答案:(a)L(x)=1+x，(1+3x)的1/3次方近似於1+x，(1.03)的1/3次方近似於1.01
(b)-0.23< x <0.40
麻烦各位微积分的大大们,可以帮我解惑~~!!!
谢谢大家~!!
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