這題微積分怎麼解?

2015-11-13 2:27 am
An environmental study for a certain community indicates that there will be Q(p)=p^2+4p+900 units of a harmful polluntant in the air when the population is p thousand people.If the population is currently 50,000 and is increasing at the rate of 1,500 per year , at what rate is the level of pollution increasing?

回答 (1)

2015-11-13 10:41 am
✔ 最佳答案
Q(p) = p^2+4p+900 units of a harmful polluntant in the air when the

population is p = 1000 people.

Population is currently p = 50 thousand pepople

Increasing at the rate of dp/dt = 1.5 thousand pepople/year ,

at what rate is the level of pollution increasing dQ/dt = ?


dQ/dt = dQ/dp * dp/dt

= (2p + 4)*1.5 thousand

= (2*50 thousand + 4)*1.5 thousand

= 104 * 1.5

= 156 units/year


收錄日期: 2021-04-30 20:17:47
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20151112182727AAeZuem

檢視 Wayback Machine 備份