-2 Write the equation for the linear approximation of g(x) = In(vr² +5) based at x =-2. Justify your answer.

Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx + b at any given…

A: Given function f(x)=mx+b where m and b is constant our aim To evaluate linearization of f(x) at…

Q: Solve for the General Solution of the given first-ordered Lineor DE : X lx² +1)y'+2y= (x?+1) %3D

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Q: A heat-seeking particle is located at the point (2, 3) on a flat metal plate whose temperature at a…

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Q: Obtain the general solution y

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Q: y" - 6y' + qy 2,

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Q: Given that f(3) -2 and f'(3) = 4, estimate f(3.5) using a linear approximation.

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Q: Find the linearization of the function at a . f(x) = x 4 + 3 x2    , a = -1

A: We know that ,The linearization of the function at v=ais given by fa+f'ax-a

Q: Use variation of parameters to find a general solution: y(3) – 4y = et.

A: Given differential equation: y3-4y'=et         ...(1)

Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx +b at any given…

A: Givenf(x)=mx +b where m and b are constantsTo find linearization of f.

Q: Differentiate the following linear and non-linear equations, and give a reason that why its linear…

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Q: x" – 2x' + 4x = d(t – 1) x(0) = x'(0) = 0 - -

A: For solving this question we use the table of Laplace transform and properties of Laplace transform…

Q: By the use of local linear approximation of g at x=2, estimate g(-1.998) if g(-2)=-1 and g’(-2)=10

A: local linear approximation formula for g(x)g(x)=g(a)+g'(a)(x-a)

Q: Given f(X)=−xe^x whats the root of the linearization of f(x) at a = 4.3?

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Q: Use variation of parameters to find a particular solution of y"- 2y' +y = 14xie" Yp(x)

A: y''-2y'+y=14x32ex find the roots for the homogeneous system  r2-2r+1=0 r-12=0 r-1=0 r=1 for one real…

Q: Find the orthogonal trajectories of the curve x^(2) + y^(2) = c^(2)

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Q: Determine the linear approximation for 2√x at x = 5. Use the linear approximation to approximate the…

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Q: Find the linearization of the function at a . f(x) =  x3/4    , a = 16

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Q: For which values of the constant c is a linear -日 combination of a and where a and b are 62…

A: We have to find values of c

Q: Find the linear approximation of the function at the given point. ffx y)=-9x2-6y2+ 6 at (6,-10)…

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Q: Obtain the general solution. 1. y' = xy?

A: We will find out the required general solution.

Q: FInd the equation of a linw whose gradient is 3/2 and which passes through the point P,where P…

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Q: Use the linear approximation to estimate the value. Compare with the value given by a calculator.…

A: The given number is (2.01)3(1.02)2

Q: 1- at 9=0

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Q: Use variation of parameters to find a particular solution of 14aie" 3 y" – 2y' + y - Yp(x)

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Q: Find the orthogonal trajectories of x² + y² – 2cy = 0

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Q: Verify that y = h(x) =- (C is an arbitrary constant, x # 0) is a solution of xy' = -y.

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Q: ATTACHED THANKYOU

A: Given that the first term of the AP is a and common difference is d.And the AP is constructed by the…

Q: An employment research company estimates that the value of a recent MBA graduate to an accounting…

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Q: Find the linearization of the function at x = 1.* f (x) 2x - 3x + 7 %3D

A: From the given problem:   fx=2x3-3x+7 ; x=1   As we know that the expression for linear…

Q: V Solve usinog variaton of parameters or reduction of order (D²- 2D+1) y = e2"(e*+1)?

A: Solve by using variation of parameter  find auxiliary equation and then find wronskian and put in…

Q: 1. Eliminate the arbitrary constants in the equation given by: (x- a)(y – b) = 1 |

A:

Q: True or False: The linear function y = mx + b , where m ≠ 0 has no maximum value on any open…

A: true, the function y = mx +c has no maximum value in any open interval Reason: the graph of y = mx+c…

Q: Use the method of integrating factor to solve the linear ODE y' – 3y = 1-e-2".

A: Given: y'−3y=1−e−2x

Q: (2,-4). At what point on the graph of f (x) = x² – 5x +2 is the gradient equal to 10? (12)

A: here this is the question of co-ordinate of function.  here we have to find slope of equation so the…

Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx + b at any given…

A: The given function is: f(x)=mx+bSo,f'(x)=m

Q: Obtain the general solution using variation of parameters. (D^2 − 1)y = e^x + 1

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Q: Solve f, e-+ n² dt. 6.

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Q: Obtain the homogeneous linear equation satisfied by the following function.

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Q: Describe when linear approximations are most accurate.y = x2; x = 1, ∆x = 0.5

A: Consider the provided information, y=x2 ,x=1,∆x=0.5 Describe when linear approximations. We can…

Q: When a bus pass from Albuquerque to Los Alamos is priced at p dollars, a bus company takes in a…

A: (a)

Q: Obtain the general solution by the parameter variation method ÿ = 2ÿ – ý + te-2t + 3

A: The solution is given as

Q: 8) Confirm that the stated formula is the linear approximation at x =0 %3D (1+x) =1+15x

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Q: Use variation of parameters to find the general solution of y′′−2y′+ 2y=(e^x)csc(x)

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Q: (c) Suppose that two of the pipes become blocked so that x3 = 0 and x1 = 0. Determine the flow rates…

A: Topic - flow diagram

Q: Differentiate the following linear and non-linear equations, and give a reason that why its linear…

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: Use variation of parameters to obtain the general solution. y''+4y = 4 sec2x

A: The given differential equation is; y"+4y=4sec2x.

Q: At what x-value(s) on the interval [-2, 3] does the graph of f (x) = x² + 2x – 1 satisfy the M.V.T.?

A: According to mean value theorem,Let f be continuous on [a,b] anddifferentiable on (a,b). Then…

Q: Use variation of parameters to find the general solution of y" – 2y' + 5y = e'.

A:

Q: According to the Florida Agency for Workforce, the monthly average number of unemployment claims in…

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