十万火急!鄙人在美国读高中,可上的微积分是怎么也没弄懂..这几天就要present期末的project了,Because

问题描述:

十万火急!
鄙人在美国读高中,可上的微积分是怎么也没弄懂..这几天就要present期末的project了,
Because of a slump in the economy,a company finds that its annual revenues have dropped from $742000 in 2002 to $632000 in 2004.If the revenue follows an exponential pattern of decline,what is the expected revenue for 2005?Find and define the meaning of the derivative even if it is not used in this problem.
可是我不清楚公式里字母代表的是什么.
1个回答 分类:英语 2014-12-16

问题解答:

我来补答
exponential decline的基本公式
y=c*e^(-kx)
套公式得
R(t)=c*e^(-kt)
因为R(0)=c*1=c,所以
R(t)=R(0)*e^(-kt)
将2002年作为第0年,2004 为第二年,2005为第三年
R(t)=742000*e^(-kt),
R(2)=742000*e^(-2k)=632000,
就能得出e^(-k)=0.9229
算出R(3)=742000*e^(-3k)=742000*0.9229^3=583275
Derivative is the slope of this exponential function,and its magnitute is the rate of exponential decline.
 
 
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