作者s1990716 (小婷)
看板trans_math
标题[微分] 应用问题x2
时间Tue Nov 4 00:16:16 2008
1.Marginal Profit
When the price of a glass of lemonade at a lemonade stand was $1.75,
400 glasses were sold. When the price was lowered to $1.50, 500 glasses
were sold. Assume that the demand function is linear and that the variable
and fixed cost are $0.10 and $25,respectively.
Find the profit P as a function of x,the number of glasses of lemonade sold.
2.Depreciation
The value V of a machine t years after it is purchased is inversely
proportional to the square root of t+1. The initial value of the machine is
$10,000.
a.Write V as a function of t
b.Find the rate of depreciation when t=1
烦请各位高手解惑~~~
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◆ From: 122.116.127.139
1F：→ matmoki:第一题有没有漏打 标题写MP 题目问π @@122.117.188.214 11/04 10:47
2F：→ matmoki:问π的话 就求出需求 再带入TR-TC122.117.188.214 11/04 10:48
3F：→ matmoki:第二题应该是 (dv/dt)=-(t+1) 用分离变数122.117.188.214 11/04 10:51
4F：→ matmoki:冏 没看到square root122.117.188.214 11/04 10:54
5F：→ matmoki:第二题好像是我想太多了 应该v=c/√(t+1)122.117.188.214 11/04 11:11
6F：→ matmoki:t=0带入得C sorry 最近微方写多了 误看XD122.117.188.214 11/04 11:13
7F：→ s1990716:我题目没漏打~谢谢M大!!122.116.127.139 11/04 22:14