In a M/M/1 model, and the average time a customer waits in the system is 0.75 hour, and the average time a customers waits in the queue is 0.27 hour. Then, the average number of customers in the system is

Q: How can the mortality force be changed for the share of newborns who will survive the first year…

A: For yearly compounded,        P=P0 1+rnt   where,        n=1        and r=rate of changed…

Q: How could the 1D heat equation represent physically?

A: We know that the heat energy of a body with uniform property is represented as; where c is the…

Q: 7. A 170kV 3 phase electric source delivers 200 MVA to a balanced load with pf of 90% lagging. What…

A:

Q: Over the past fifty years the carbon dioxide level in the atmosphere has increased. Carbon dioxide…

A:

Q: In a hypothetical city, there is a population of 200,000 people.  During the year 2000, there were…

A: The total number of people in the population is 200,000.

Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German…

A:

Q: ) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 25% per…

A: Given query is to find the expression for the population after t years.

Q: 5. 2 x' = 3 х, 1 x(0) = 1

A: In this question, we have to find the general solution of the differential equation and draw the…

Q: Consider two interconnected tanks of brine solution. Assume that Tank Y contains 20 litres of water…

A: We are entitled to solve one question at a time and up to 3 sub-parts only. Please post other…

Q: Suppose that a population has a rate of growth of 0.1 and a carrying ranacity of 2 million, Şet up…

A: The population dynamics can be modeled through a first-order differential equation. It contains the…

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given: The population of the world in 2015 was 9.75 billion people and was growing at a rate of…

Q: Suppose we have two 1 metre long rods. Each rod has a temperature of 0° on its left end with the…

A:

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 95% of the…

A: It is given days half-life of polonium is 139 days. By the definition of half life, A139=12A0

Q: In a high voltage transformer, when the reliability is tested, it has a 6 month reliability of 0.85…

A:

Q: The population of Japan in 1960 was 94 million, the population in 1970 was 105 million. Set up and…

A: Given that the initial population of Japan in 1960 is 94million and the population of Japan in 1970…

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given problem:- The population of the world in 2015 was 9.75 billion people and was growing at a…

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 95% of the…

A:

Q: The city of Anville is currently home to 30000 people, and the population has been growing at a…

A:

Q: Find the order of the differential equation. And check if it is linear or nonlinear.

A: Given the differential equation

Q: If a linear synthesis has 5 steps starting from 25 mmol of the precursor, what must be the average%…

A:

Q: An electronic circuit consists of 5 silicon transistors, 3 silicon diodes, 10 compo- sition…

A:

Q: a. the root of the given nonlinear equation on its 16th iteration?

A: Given,         y=x3-x2-x-1;      -1<x<4

Q: The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone,…

A: Given problem Given that

Q: Suppose that a healthy population of some species is growing in a limited environment and that the…

A: Given, M0 is initial carrying capacity P0 is initial population M1 is carrying capacity after…

Q: Two tanks, A and B, each contain 10 L of salt water. Initially, 31 g of salt are found in A, and 27…

A: Given: To explain the given statement as follows, V = 10L, u(0) = 31, v(0) = 27

Q: Consider a population of tuna T that is growing logistically according to the equation:…

A:

Q: An engine health monitoring system consists of a primary unit and a standby unit. The MTTF of the…

A:

Q: The city of Anville is currently home to 23000 people, and the population has been growing at a…

A:

Q: The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone,…

A: Solve the given problem

Q: A $25,000 machine depreciates linearly to 0 over a 10 year period. What is the valye of the machine…

A:

Q: A certain type of bacteria, given a favorable growth medium, doubles in population every 6.5 hours.…

A:

Q: City A has a current population of 500,00 people and grows at a rate of 3%/year. City B has a…

A: Given  City A :-  current population(P) is  500,00 people and growth rate (r) is 3% or 0.03  City B…

Q: Find the particular solution that satisfies the initial condition.

A: Afghan

Q: When air expands adiabatically (without gaining or losing

A:

Q: olution by two pha

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: If in the year 2000 there were 1.26 million metric tons of beef produced and demand is growing at a…

A:

Q: The city of Anville is currently home to 29000 people, and the population has been growing at a…

A:

Q: Let kids denote the number of children ever born to a woman, and let educ denote years of education…

A: kidsi=β0+β1educi+ui where  kids= number of children born to a womaneduc= years of education

Q: In a factory there are 100 skilled, 250 semi-skilled and 150 unskilled workers. It has been observed…

A:

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

A: This question is related to population growth, We will solve it using integration.

Q: 2. The population of a city grows from a initial size of 1000,

A:

Q: How long will it take a population of bacteria to reach a certain size, given that we know its…

A: How long will it take a population of bacteria to reach a certain size, given that we know its…

Q: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s?, how long will it take…

A: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s2 .We have to find  how…

Q: . Use the variation of parameters formula together with the exponential from part 3) to find the…

A: As per the question we have the following second order linear non-homogeneous differential equation…

Q: My colleagues have conducted an accelerated stability study on a new pharmaceutical protein…

A: Given data: At 40°C, degradation rate is 20% per week. At 35°C, degradation rate is 4% per week.…

Q: Suppose a population can be modeled by 50 P(t) = where time is in years since 2005. (1+75e--5t)…

A:

Q: Consider two interconnected tanks as shown below. Tank 1 initially contains 600 gal of water with 3…

A: !st we will find volume of solution in both tank to find concentration of salt after t minutes and…

Q: Find the linearization of ƒ(x) = log3 x at x = 3. Then round its coefficients to two decimal places.

A: Given: f(x)=log3(x) at x=3

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.