Question

Let​ b(t) represent the population of bunnies on Greentree Island t weeks after the population was...

Let​ b(t) represent the population of bunnies on Greentree Island t weeks after the population was first recorded.

Assume that ​ b(0) =

126126​,

​ b(20) =

12671267​,

​ b(40) = 13571357

Integral from 10 to 20 b prime left parenthesis t right parenthesis dt∫1020b′(t)dt

​=

475475​,

   

Integral from 20 to 30 b prime left parenthesis t right parenthesis dt∫2030b′(t)dt

​= 890890

​A) What was the population on the island exactly 10 weeks after the population was first​ recorded?     

​ B)  

Integral from 0 to 10 b prime left parenthesis t right parenthesis dt∫010b′(t)dt

​=

​C) What was the population on the island exactly 30 weeks after the population was first​ recorded?     

​D)

Integral from 30 to 40 b prime left parenthesis t right parenthesis dt∫3040b′(t)dt

​=

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

if satisfied with the explanation, please rate it up..

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
ONLY EXERCISE B! Find the mass that remains after t years. Step 1 Let y(t) be...
ONLY EXERCISE B! Find the mass that remains after t years. Step 1 Let y(t) be the mass (in mg) remaining after t years. Then we know the following. y(t) = y(0)ekt = 10    10 · ekt Step 2 Since the half-life is 30 years, then y(30) = 5   5 mg. Step 3 Thus, 5 = 10e30k, or e30k = 1/2   1/2 . Therefore, k =   $$−ln(2)30​     . Step 4 Now, remembering that ln(xn) = n ln(x) and that eln(z)...
The frequency of a recessive allele q in an island population is 0.8 and the frequency...
The frequency of a recessive allele q in an island population is 0.8 and the frequency of allele q in a mainland population is 0.3. One season, some individuals from the island migrate to the mainland. After this migration, 20% of the mainland population consists of migrants from the island. What will be the frequency of allele q in the mainland population in the next generation? a) 0.4 b) 0.5 c) 0.1 d) 0 e) 0.6
Let P(t) represent the number of people who have been infected by a disease t days...
Let P(t) represent the number of people who have been infected by a disease t days after it was first detected in a particular community. (a) Suppose P' (34) = 11. What does this tell us about the infections in this community? (b) Suppose that P' (58) = 0. Based on this information, do we know that the disease has reached its peak infection rate on day 58? Explain. (c) Suppose P'' (34) = 8. Based on this and on...
Suppose that the population develops according to the logistic equation dP/dt = 0.0102P - 0.00003P^2 where...
Suppose that the population develops according to the logistic equation dP/dt = 0.0102P - 0.00003P^2 where t is measured in days. What is the P value after 10 days where A = (M-P(0)) / P(0)) if the P(0) = 40? And P(0) = 20?
2.) After a boating mishap you find yourself stranded on a deserted island with a pirate...
2.) After a boating mishap you find yourself stranded on a deserted island with a pirate and a crate of shoes. There are ten pairs of shoes in the crate. You manage to grab 10 left shoes and 5 right shoes before being chased away by “Captain Hook.” A) Suppose your pirate friend has only one good leg – his right leg (his left leg is a wooden stump). Luckily, your feet are intact. Let X1 denote right shoes and...
2.) After a boating mishap you find yourself stranded on a deserted island with a pirate...
2.) After a boating mishap you find yourself stranded on a deserted island with a pirate and a crate of shoes. There are ten pairs of shoes in the crate. You manage to grab 10 left shoes and 5 right shoes before being chased away by “Captain Hook.” A) Suppose your pirate friend has only one good leg – his right leg (his left leg is a wooden stump). Luckily, your feet are intact. Let X1 denote right shoes and...
After a boating mishap, you find yourself stranded on a deserted island with a pirate and...
After a boating mishap, you find yourself stranded on a deserted island with a pirate and a crate of shoes. There are ten pairs of shoes in the crate. You manage to grab 10 left shoes and 5 right shoes before being chased away by “Captain Hook”. (a) Suppose your pirate friend has only one good leg – his right leg (his left leg is a wooden stump). Luckily, your feet are intact. Let x1 denote right shoes and x2...
Let P(t) represent the number of people who have been infected by a disease t day...
Let P(t) represent the number of people who have been infected by a disease t day after it was first detected in a particular community. (a) Suppose P ′ (34) = 11. What does this tell us about the infections in this community? (Hint: Interpret the statement P ′ (34) = 11, being sure to clearly specify what the 34 and the 11 represent.) (b) Suppose that P ′ (58) = 0. Based on this information, do we know that...
Construct a scatterplot and identify the mathematical model that best fits the data shown below. Let...
Construct a scatterplot and identify the mathematical model that best fits the data shown below. Let x represent the year since​ 1959, with 1960 coded as xequals=​1, 1973 coded as xequals=​14, 1986 coded as xequals=​27, and so on. Let y represent the subway fare. Year 1960 1973 1986 1995 2002 2003 Subway Fare 0.150.15 0.350.35 0.900.90 1.351.35 1.501.50 1.951.95 Choose the correct graph below. A. 05003xy A scatterplot has a horizontal x-scale from 0 to 50 in intervals of 5...
9. Let t correspond to the number of months after January 15 with 0 ≤ t...
9. Let t correspond to the number of months after January 15 with 0 ≤ t ≤ 12. A mathematical model for the variation of the expected temperature during the year is given by T(t) = 20 − 2t(t − 12) in degrees Fahrenheit. What is the expected average temperature for the whole year in degrees Fahrenheit? (a) 70°F (b) 66°F (c) 68°F (d) 72°F (e) None of the above. 10. Carbon 14 (C-14), a radioactive isotope of carbon, has...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT