The total number P of prey taken by a predator depends on the availability of prey. C. S. Holling proposed a function of the form P = cn/(1 + dn) to model the number of prey taken in certain situations. Here n is the density of prey available, and c and d are constants that depend on theorganisms involved as well as on other environmental features. Holling took data gathered earlier by T. Burnett on the number of sawfly cocoons found by a small wasp parasite at given host density. In one such experiment conducted, Holling found the relationship21.96n1 + 2.412where Pis the number of cocoons parasitized and a is the density of cocoons available (measured as number per square inch).(a) Draw a graph of P versus n. Include values of n up to 2 cocoons per square inch.P151510100.51.01.52.00.51.01.52.015151010-50.51.01.52.00.51.01.52.0(b) What density of cocoons will ensure that the wasp will find and parasitize 4 of them? (Round your ansswer to one decimal place.)cocoon(s) per square inch(c) There is a limit to the number of cocoons that the wasp is able to parasitize no matter how readily available the prey may be. What is this upper limit? (Round your answer to the nearest whole number.)cocoons

Given relationship is P=21.96n1+2.41n (i) Where P is the number of cocoons…

The total number P of prey taken by a predator depends on the availability of prey. C. S. Holling proposed a function of the form P cn/(1 + dn) to model the number of prey taken in certain situations. Here n is the density of prey available, and e and d are constants that depend on the organisms involved as vell as on other environmental features. Holling took data gathered earlier by T. Burnett on the number of sawfly cocoons found by a small wasp parasite at given host density. In one such experiment conducted, Holling found the relationship P21.96n 1+ 2.410 where Pis the number of cocoons parasitized and n is the density of cocoons available (measured as number per square inch). (a) Draw a graph of P versus n. Include values of n up to 2 cocoons per square inch. 15 15 10 10 0.5 1.0 1.5 0.5 2.0" 1.0 1.5 15 1아 10 0.5 1.0 1.5 20" 05 1.0 1.5 2.0 (b) what density of cocoons will ensure that the vasp will find and parasitize 4 of them? (Round your answer to one decimal place.) cocoon(s) per square inch (c) There is a limit to the number of cocoons that the wasp is able to parasitize no matter how readily available the prey may be. What is this upper limit? (Round your answer to the nearest whole number.) cocoons

The total number P of prey taken by a predator depends on the availability of prey. C. S. Holling proposed a function of the form P cn/(1 + dn) to model the number of prey taken in certain situations. Here n is the density of prey available, and e and d are constants that depend on the organisms involved as vell as on other environmental features. Holling took data gathered earlier by T. Burnett on the number of sawfly cocoons found by a small wasp parasite at given host density. In one such experiment conducted, Holling found the relationship P21.96n 1+ 2.410 where Pis the number of cocoons parasitized and n is the density of cocoons available (measured as number per square inch). (a) Draw a graph of P versus n. Include values of n up to 2 cocoons per square inch. 15 15 10 10 0.5 1.0 1.5 0.5 2.0" 1.0 1.5 15 1아 10 0.5 1.0 1.5 20" 05 1.0 1.5 2.0 (b) what density of cocoons will ensure that the vasp will find and parasitize 4 of them? (Round your answer to one decimal place.) cocoon(s) per square inch (c) There is a limit to the number of cocoons that the wasp is able to parasitize no matter how readily available the prey may be. What is this upper limit? (Round your answer to the nearest whole number.) cocoons

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: 0.3 Suppose the average daily metabolic rate for certain types of animals can be expressed as a…

Q: Use the five-point endpoint formula to approximate f'(0.78) for the table data points. You must show…

A: The five-point endpoint formula to approximate f'(x0)…

Q: Given that the height of the cylinder is 6 cm and is growing at a rate of 5 cm/s, while the radius…

Q: Please help

Q: a. A student conducts an experiment. The output of experiment is the same as the area of f(x) = x.…

A: Explained below

Q: Question 10 For the function g(x)=x²-2x+5, what is the best estimate for the instantaneous rate of…

Q: 4. Given that a car's distance in feet east of an intersection t seconds since it started moving is…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Consider the graph of a velocity function v(t) given below. Assuming this velocity function…

Q: 6. As blood circulates through our bodies, at any given time we have some volume of blood within…

Q: The sales of a mature product (one which has passed Its peak) will dicline by the function s(+)= Sne…

A: Given S0 = 54,100 and a = 0.14 Time = 1 year S(t) = S0 e- at

Q: The following table gives the distribution of gas bills (GB’s) of some households (hhs) in a city-…

A: Given data :

Q: ) Determines the average rate of population variation between 1990 and 1995. B) Determines the…

A: Follow the procedure given below.

Q: Let f(z) be the height of a maple tree in inches and z the number of years since 2000. A Hnear model…

A: f(x)=9.44x+84.182 A) The estimate height of the tree at 2016 will be…

Q: An experimental self-driving car is observed as it moves back an forth on a straight stretch of…

A: Proceed as shown below...

Q: A spherical drop of water in air evaporates with a speed proportional to its surface area. If R is…

Q: 1.4 Consider the tollowing two functions: © «W) = ( dx %3D exp 2 tan-(v) (ii) p(v) = %3D Explain why…

Question

The total number P of prey taken by a predator depends on the availability of prey. C. S. Holling proposed a function of the form P = cn/(1 + dn) to model the number of prey taken in certain situations. Here n is the density of prey available, and c and d are constants that depend on the
organisms involved as well as on other environmental features. Holling took data gathered earlier by T. Burnett on the number of sawfly cocoons found by a small wasp parasite at given host density. In one such experiment conducted, Holling found the relationship
21.96n
1 + 2.412
where Pis the number of cocoons parasitized and a is the density of cocoons available (measured as number per square inch).
(a) Draw a graph of P versus n. Include values of n up to 2 cocoons per square inch.
P
15
15
10
10
0.5
1.0
1.5
2.0
0.5
1.0
1.5
2.0
15
15
10
10-
5
0.5
1.0
1.5
2.0
0.5
1.0
1.5
2.0
(b) What density of cocoons will ensure that the wasp will find and parasitize 4 of them? (Round your ansswer to one decimal place.)
cocoon(s) per square inch
(c) There is a limit to the number of cocoons that the wasp is able to parasitize no matter how readily available the prey may be. What is this upper limit? (Round your answer to the nearest whole number.)
cocoons

Expert Solution

Step 1

Given relationship is

$P = \frac{21.96 n}{1 + 2.41 n}$ (i)

Where $P$ is the number of cocoons parasitized and $n$ is the density of cocoons available measured in per square inch.

The graph of the given relation is shown below.

So, correct answer is C

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Numerical Differentiation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

2. Consider the function f(x)=x^3 a. Find df b. Find approximate values for (2.01)^3, ( 2.001)^3 and (2.0001)^3. Compare the values of ∆f and df for each case.
(18 A bateria culture starts with 360 at a rate proportional to bateria and granx it size. After a hours there will be 720 bacteria. a) Express the population after & hours as a function of t. b) What will be the population after a houer c/ How long will it take for the population to reach (1 50?
1) Determine the average rate of change between r = 10 000 km and r = 15 000 km. 2) Determine the instantaneous rate of change at r = 15 000 km. 3) How much energy must be given to the satellite if r = 12 000 km?Note: It is advance function not physics. Please explain everything in detials (how you write the final answer)
1A) What are the units of the rate of change of f(t) with respect of t? What does this rate mesuare?
Differentiate the function
A college language class was chosen for a learning experiment. Using a list of 50 words, the experiment measured the rate of vocabulary memorization at different times during a continuous 6-hour 15 for 1sts6. Find the area between t study session. The average rate of learning for the entire class was inversely proportional to the time spent studying, and was given approximately by V' (t)- the graph of V' and the t-axis over the interval [2.4), and interpret the results The area between the graph of V" and the t-axis over the interval (2.4] is approximately (Round to the nearest whole number as needed) Interpret the results. Choose the correct answer below. GELE A. The area between the graph of V' and the t-axis over the interval [24] is the average number of words learned from t=2 hr to t=4 hr. OB. The area between the graph of V' and the t-axis over the interval (2.4] is the average difference between the rate of learning at 1-2 hr and the rate of learning at t=4 hr. OC. The area…