please show work neatly
And answer both please
please show work neatly And answer both please DQuestion 5 2 pts If a population has...
Part B Please!!
Scenario The population of fish in a fishery has a growth rate that is proportional to its size when the population is small. However, the fishery has a fixed capacity and the growth rate will be negative if the population exceeds that capacity. A. Formulate a differential equation for the population of fish described in the scenario, defining all parameters and variables. 1. Explain why the differential equation models both condition in the scenario. t time a...
Exercise 4: Assume that a population is governed by a logistic equation with carrying capacity K intrinsic growth rate r, and initial population size K is subjected to constant effort harvesting: (a) Determine the population size, N(t) (b) Verify that if E< r, the population size will approach the positive steady state, Ni, the carrying capacity K if Erand if E>r, the population will approach the zero steady state, No, astoo. (c) Find the maximum sustainable yield of the population.
Question 184 pts The current worldwide average rate of increase for the human population is about Group of answer choices 0.5 1.3 2.7 3.8 4.6 Question 194 pts In the logistic growth equation, G = r*N*(1-N/K), the expression (1-N/K) represents the... Group of answer choices proportion of resources not yet used size of the current population relative to the carrying capacity per capita population growth rate density independent factors affecting population growth Total fertility rates (TFRs) are highest in __________...
Please show answers for both questions neatly and label
A sample of a substance has an initial temperature of 295.1 K. After absorbing 2913 J of heat, the temperature of the substance is 315.8 K. The specific heat of the substance is 5.19 J/(g:K). What is the mass of the substance? If the Kb of a weak base is 6.0 x 10-M, what is the pH of a 0.33 M solution of this base? pH =
Please Solve Both Problems
Clearly and neatly show all work for each problem. Solutions with no w credit. 1. Solve the following initial-value problem. X'=(123), x(0) = (4) 2. Solve the following initial-value problem. X'=(-2 ->)x, X(0) =
a) You are studying a population of aphids with an initial
population size of 500. During a one-month period, you observe 40
births and 15 deaths in the population. Estimate the value of r for
that month, and predict the population size in three months (from
the initial population size). Remember that r is the per capita
rate of population increase. (Assume exponential population
growth).
b) Imagine you are growing ciliates in a laboratory flask. The
carrying capacity is 1000...
Please answer the following question completely and correctly.
Please show all work and write neatly.
5. At 298 K and 1 bar pressure, the density of water is 0.9970 gecm, the coefficient of thermal expansion, is 2.07x10 K, and CP.m = 75.3 J•K-'•mol"!. If the temperature of 282 g of water is increased by 38.1 K, calculate w,q, AU, AH and AS.
A population of freshwater shrimp is being harvested for food. The population has an intrinsic growth rate of 0.043 and a carrying capacity of 50,000 individuals. A) If the shrimp population is 10,680 in 2019, what would we expect it to be in 2020? Assume that time is in years in the logistic population growth model. B) What is the maximum sustainable yield for the shrimp population under a fixed quota harvest? Please show your work.
Please answer the question fully! Show all your work and write
neatly. If you don’t know how to answer it then do not answer! If
you copy someone else’s work I will downvote and report.
a) Find the radius of convergence of the power series Σ000 sin(ntor". for which the radius Give an example of a power series Σ k of convergence R satisfies 4 k linninfl의くR<lin.sup는! ak+1 kak+1
Please answer the following questions please show all work and
write your answers neatly and thoroughly please. Also please make
sure your answers are correct. Thank you I appreciate it!
11. (10 pts) Use the Cauchy-Riemann equations to prove that /(a) = .008 sinh y + i sin rcoshy is entire. Also find t').