Assume that a population P of wolves in a region is proportional to the area A of the region. Does it make sense to use differential equations to model the population size? If so write the differential equation If not explain whV

Q: A spherical raindrop evaporates at a rate proportional to its surface area. Write a differential…

A: The surface area of a sphere of radius r is:

Q: A certain RNA molecule replicates every 3 minutes. Find the differential equation for the number…

A:

Q: Show that if P(x) #0 the differential equation y' + p(x)y = f(x) is not exact differential equation.…

A: y' + p(x)y = f(x) can be written in the appropriate form dydx + p(x)y = f(x)  ⇒dy +p(x)y dx = f(x)…

Q: The population y(t) grows continuously and follows an exponential behavior over time. Its…

A: We have to find the differential equation to describe growth of population y(t).

Q: A tank with a capacity of 250 gal is intended to be used to prepare a sugar solution. The tank…

A: Let the amount of sugar in tank at time t = y(t)

Q: y = ay' – In (y') Y

A:

Q: Show that the differential equations are not exact. Determine the integrating factor to make each DE…

A: Given that the differential equation is       y' = 2xy - x

Q: yy' = Vr² + y² +1

A:

Q: What is a nonhomogeneous differential equation with constant coefficient? Define and illustrate the…

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Q: A spring is stretched 175 mm by an 8-kg block. If the block is displaced 100 mm downward from its…

A:

Q: Make up a 2nd order differential equation that you feel confident possesses only the trivial…

A: To find- Make up a 2nd order differential equation that you feel confident possesses only the…

Q: Consider a population of marine fish in a reef with and intrinsic growth rate of 0.5 per year and a…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Assume that a population, P, is changing at a rate inversely proportional to 50 + P. Does it make…

A:

Q: y = 2xy -x

A:

Q: An outfielder fields a baseball 280 ft away from home plate and throws it directly to the catcher…

A:

Q: he rate of change of infectious by the spread of Covid is given by the differential equation…

A:

Q: A savings account earns a 4% annual rate, compounded continuously, and $500 per year is withdrawn…

A: Here yt denote the value of the amount after t- years.

Q: dy + xdx + 2ydx = 0

A:

Q: In the mixing process given below, brine is obtained. Using the given values, obtain the…

A: Given: ri=2L/min and ro=1L/min Also, Ci=4 kg/L Consider the amount of dissolved salt over time as x.…

Q: Show that the differential equations are not exact. Determine the integrating factor to make each DE…

A:

Q: Find the general solution to the differential equation y = x* tan(y) y = help (formulas) Use the…

A: Recall: ∫xn dx=xn+1n+1+C ∫cosxsinx dx= lnsin(x)+C ; Where C is integration constant. In this…

Q: An angle Θ is known to vary periodically with time, in such a way that its rate of change is…

A:

Q: The growth rate of population of a city is known to be equal to 20% of the current…

A: According to the given information it is required to find the number of years it will take to double…

Q: The management at a certain factory has found that the maximum number of units a worker can produce…

A: Lets suppose that the rate of change of performance with respect to time is dNdt (a) The required…

Q: A mass of 50 kg is attached to a spring whose constant is 32 N/m

A:

Q: A steel ball of mass 4-kg is dropped from rest from the top of a building. If the air resistance is…

A:

Q: ting factor for the given differential equation is

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Q: A 2 kg mass is attached to a spring whose constant is 4 N/m, and the entire system is submerged in a…

A: A 2 kg mass is attached to a spring whose constant is 4 N/m, and the entire system is submerged in a…

Q: A ball with mass 0.3 kg is thrown upward with initial velocity 10 m/s from the roof of a building 40…

A: The following formulae are used to obtain the solution. Force, F=Mass×AccelerationAccelaration,…

Q: A body weighing 24 lb stretches a vertical spring 1 foot beyond its natural length. The spring is…

A:

Q: + y = ry dr

A:

Q: y = (xy - v)/x

A:

Q: A culture initially has P0 number of bacteria. At 1 h the number of bacteria is measured to be…

A: given: A culture initially has P0 number of bacteria. At 1 h the number of bacteria is measured to…

Q: Initially 5 grams of salt are dissolved in 30 liters of water in a tank. Brine with salt…

A: Here Initially, 5 grams of salt are dissolved in 30 liters of water in a tank. Brine with a salt…

Q: A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing…

A: A tank initially contains 100 gallon of brine with 40lb of dissolved salt. A brine containing…

Q: Assume that the rate at which a population of a country grows is proportional to the total…

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Assume that the distance, D, a baseball is thrown is proportional to the force exerted, F. Does it…

A: We will solve the following.

Q: Assume that the amount of time, T, a job takes is inversely proportional to the number of people P…

A:

Q: "Find the general solution for each differential equation. Verify that each solution satisfies the…

A: The given differential equation is dydx=ey2y. Solve the above differential equation as follows.

Q: The von Bertalanffy growth model states that the rate of increase in the length L(t) of a shark of…

A: according to question, rate of increase in length of a shark of age t in years is proportional to…

Q: Determine whether the differential equation is exact. Show work to support your answer. sin(x) dy =…

A: The solution is given as

Q: Y = CI Cos 3X + C2sin 3x %3D

A:

Q: independent variables are there in an ordinary differential equation

A: Differential Equation: The equation consists of derivatives of dependent variables (one or more)…

Q: The rate of change of the population p of bacteria at time t is proportional to the population at…

A:

Q: Assume an object's weight, W, is proportional to its height, H. Does it make sens use differential…

A: This question is about application of derivative

Q: A certain drug is being administered intravenously to a hospital patient. mg Fluid containing 3 cm3…

A:

Q: Assume that a population P of wolves in a region changes inversely to the area A of the region. Does…

A:

Q: x = Acoswt + Bsinwt

A:

Q: Assume an object's weight, W, is proportional to its height, H. Does it make sense to use…

A:

Q: A small cannonball with mass 9 kilograms is shot vertically upward with an initial velocity of 130…

A: we have m=9, v=130, k=0.0025, g=-9.8

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.