A state game commission introduces 60 deer into newly acquired state game lands. The population of N of the herd can be modeled by  N=10(6+3t)/1+0.05t whwre t is the time in years. Use the differentials to approximate the change in the herd size from t=4 to t=5.

Q: Eliminate the arbitrary constants (a, b) in the function to obtain the differentialequation. I e =…

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Q: Given the function y = x3 + x² + x + 10, suppose x increases from 1 to 1.1. Find the absolute error…

A: We will find out the required value of absolute and percentage error.

Q: Find the differential dy of the given function.     y = 3x2/3

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Q: Match the appropriate slope field with the differential equation y'=+2. 事 B.

A: given differential equation y'=xy2+2 claim- to find the slope field of the given equation definition…

Q: Straight lines with slope half the value of the x-intercept

A: The equation of a line is defined as y=mx+b, where, m is the slope and b is the y-intercept.

Q: Perform the indicated multiplication on the differential operator D. Show your full solution.

A: We have to find out

Q: v'(t) = 2t – v(t). a) Find v(t) for which v(0) = -2. b) Find the distance traveled after 2 seconds.

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Q: Find the differential equations for each family of curves under the following conditions: c)…

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Q: Find the differential of the given functions: 1. y = 3x4 - 5x³ + x - 4 2. u = /2y – y3

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Q: Find the differentials of each of the following. 1. у%3D 5x4 —Зх3 +х—6 2. y=- v+ 3. y= x²(1– x²)=

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Q: Find the general solution of the differential equation with the help of lablace transform

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Q: Find the differential dy of the given function. y = 3x2 − 4

A: Given function is Differentiating with respect to x, we get Therefore , differential dy is

Q: 3. Write the exact differential: f(x,y)=e-y-el-

A: Given- fx,y=ex-y-ey-x To write the exact differential.

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQ TACHY 1. (D³ - 5D² + 3D + 9)y = 0 2 (D3 D2 1

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Q: х+1 y = 2x

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Q: A jar contains 100 mL of a certain substance which, when heated to tt degrees Celsius contains E(t)…

A: Given: Et=2.3t2-4.5δt=0.2t=60 To determine: The value of dEdt and the possible error in the…

Q: 2x 1. y =-+ 5 3 2. y = x6 + x³ + 5x – 8

A: The given functions are polynomials . we will find differential or derivative of the functions.

Q: Write the differential equation corresponding to the Legendre Polynomial P2(x) and verify that P2(x)…

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Q: Solve the differential equaton 2x2dy=(x+y)2dx

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Q: - Find a differential operator that annihilates the function f (x) = xe4* – 7x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Identify the differential equation that produces the slope field below. // ||// // 2.

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Q: Eliminate the arbitrary constants (a, b) in the function to obtain the differentialequation. e* =…

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Q: v = ) V In(2x-3y

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Q: is the differential equation of the sol

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Q: Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N =…

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Q: Find the differentials of each of the following. 1. y= 5x* –3x³ +x – 6 1 2. y= - Vx + 3. y= x²(1–…

A: The objective of the problem is to find the differential of each of the following: Consider the…

Q: For an ideal gas, the pressure is related to temperature and volume by the formula 8.31T . If your…

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Q: An object is being heated such that the rate of change of the temperature T in degree Celsius with…

A: Here we have to use the Runge-Kutta 4th order method

Q: Consider the differential equation x¨(t) + x(t) = 5t2 − 2 cos 2t.  Write down the ansatz for xp…

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Q: S(«,9) =7+3y Also, find the total differential of the function.

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Q: х+1 y 2x 1

A: Given,            y = x + 12x - 1

Q: y = Ax² + Be*

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Q: Estimate Ay using differentials for the given function and the given values of a and dr 2/3 y =xe-,…

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Q: 1. 5у" — (v') 2. ху" + 2х - 3 a2r 3.

A: As per the bartleby guidelines for multiple subparts only first three parts has to be solved ,…

Q: Find the differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A: Formation of differential equation: As a rule, one requires n+1 relations to eliminate n quantities.…

Q: Identify if the differential is homogenous or heterogeneous. State also whether the equation is…

A: As per guideline we have to solve three subparts

Q: The differential operator (D- 7)* annihilates the functions

A: We have to solve the problem:

Q: Find the differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A: The given family of curves                    y=Acos12x+Bsin12x , where A and B are constants.

Q: 4) For an ideal gas, the pressure is related to temperature and volume by the formula 8.317 P = If…

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Q: Find the serial solution of the differential

A: We have to find out the series solution of the differential equation y''-xy=0 at the neighborhood at…

Q: The differential operator D4 annihilates the functions

A: we have to find the functions which are annihilated by the differential operator D4…

Q: Jesaki Inc will sellN units of product after spending $a thousand in advertising, as given by N = 73…

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Q: It is estimated that t years from now, the population of a certain town will be F(t) = 40-{8/(t+2)}.…

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Q: Write a differential equation that accepts Legendre polynomials P7 (x) as a "particular" solution.

A: Write a differential equation that accepts Legendre polynomials P7x as a "particular" solution. As…

Q: The amount u of a radioactive material change in time given as a differential equation du dt = -7u…

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Q: 8. Use a linear approximation or differentials to estimate the value of v15, knowing the exact value…

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Q: Use a linear approximation (or differentials) to estimate the given number. e−0.01

A: Let f(x) = ex, where x = –0.01. Then f(0) = 1.