![kuadirkennedy](/avatars/30218.jpg)
kuadirkennedy
21.01.2020 •
Mathematics
Consider a population p of field mice that grows at a rate proportional to the current population, so that dp dt = rp. (note: remember that, as in the text, t is measured in months, not days. one month is 30 days.) (a) find the rate constant r if the population doubles in 210 days. (round your answer to four decimal places.) r = (b) find r if the population doubles in n days. r = ?
Solved
Show answers
More tips
- F Family and Home How to Properly Use a Water Level?...
- D Dating, Love, Relationships 10 Useful Tips on How to Survive a Breakup?...
- F Food and Cooking Apple Cider Vinegar: The Ultimate Health and Beauty Solution...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
Answers on questions: Mathematics
- M Mathematics Which inequality describes this scenario? Choose 1 Choose 1 (Choice A) A 105+10C \leq 1000105+10C≤1000105, plus, 10, C, is less than or equal to, 1000 (Choice B) B...
- M Mathematics B. A different marching band has 30 snare drums, but its trombone to snare drum ratio is the same as the first marching band. How many trombones does it have?...
- M Mathematics How do you find the length of a line in a circle?...
- M Mathematics The manager of a local cell phone company wants to conduct a survey to determine what kind of musical ring tones people typically use. Which method should she choose...
- M Mathematics After increasing the price of an item by 20% the price was $300.00. What was the original price?...
- M Mathematics BC and DC are tangent to circle A. Kite ABCD is inscribed in circle E. The radius of circle A is 14 and the radius of circle E is 15. Find the length of BC rounded...
- M Mathematics I literally have no idea how to do this HELP...
- M Mathematics Greg has decided to attend the community college for his first year and stay home. He will take 12 hours each semester.He has 1,200 saved up and will work this summer...
- M Mathematics I WILL MARK BRANLIEST!! (there’s a pic)...
- M Mathematics A bird drops a stick to the ground from a height of 85 ft. The function h= - 1612 +85 gives the stick s approximate height h above the ground, in feet, after t seconds....
Ответ:
a)![r = \frac{ln(2)}{210}=0.00330070086](/tpl/images/0464/5047/eac30.png)
b)![r = \frac{ln(2)}{N}](/tpl/images/0464/5047/a4b60.png)
Step-by-step explanation:
For this case we assume the followin differential equation:
Where is is the consttant growth/decay rate , p represent the population and the the time.
For this case we can rewrite this expression like this:
And now we can apply integrals on both sides like this:
If we apply exponential on both sides we got:
And from the previous equation
represent the initial population.
Part a
For this case we are assuming that the population doubles in t=210 so then we can set the following equation:
We can cancel
in both sides and we got:
We can apply natural log on both sides and we got:
Part b
For this case we are assuming that the population doubles in t=N so then we can set the following equation:
We can cancel
in both sides and we got:
We can apply natural log on both sides and we got:
Ответ:
86,000 / 100 = 860
Then,
860 x 7 = 6020.
Hope I've helped.