Draw the bifurcation diagram for i = (x – 3)(c+ x)

Q: The Wronskian of (X,X Select one: a. X b. x C. d.

A: To find The wronskian

Q: Use transformations to graph the function. 34) y = sin (x – T) Ismatals adi enon ( TC 2n 3T -2+ -4-

A: Solution: Given data, y = sin(x-π)

Q: find the linearization L(x) of ƒ(x) at x = a. ƒ(x) = x3 - 2x + 3, a = 2

A: We find f(x) and f'(x) at x=2

Q: Q2:- Evaluate / x + ydA where Ris the trapezoidal region with vertices given by R 5 5 (0,0), (5, 0).…

A: To find - Evaluate ∬Rx + y dA where R is the trapezoidal region with vertices given by…

Q: ® Find the_functian that satisfies the following conditions for some constant Eceficients c,and c…

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Q: Ôz and Show 4. Use an appropriate form of the chain rule to find dv (a) z3x²-y tanx, x =u/v, y = u'v

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Q: The conjugate z of z=x+iy is z=x-iy

A: 4) Conjugate of a complex number: The complex conjugate is obtained by changing the sign of the…

Q: The linearization at a = 0 to /3 + 9x is A + Bx. Compute A and B. A = B =

A: Given: f(x)=3+9x

Q: Find the linearization at x = a. f(x) = 6x®, a = 1

A: Linearization L(x) of function f(x) at a is given as L(x) = f(a) + f'(a)(x-a)

Q: Use Fourier-Motzkin elimination to give a linear combination of the following in- equalities that…

A:

Q: Enter the function In standard form. y = 2(x-1)(x +5) The standard fom of y = 2(x-1)(x +5) is

A: y=2(x-1)(x+5) first multiply (x-1)(x+5) =>(x-1)(x+5) =>(x^2 +5x -x -5) =>(x^2 +4x-5)

Q: 2) Use the Wronskian to show the three functions are linearly independent. f(x) = x, g(x) = cosx,…

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Q: find the linearization at x = a. f (x) = x4, a = 1

A: Given function: Using the formula of linearization of a function f(x) at x =a :

Q: find the linearization L(x) of ƒ(x) at x = a. ƒ(x) = √(x2 + 9), a = -4

A: Consider the following function: fx=x2+9 Differentiate fx with respect to x: f'x=12x2+9×2x=xx2+9

Q: 요2s A) for F- 2K1-3y3+ K %3D prove That divc curl È)=0

A:

Q: find the linearization L(x) of ƒ(x) at x = a.ƒ(x) = sqrt(x2 + 9), a = -4

A: Given function is, fx=x2+9, a=-4.   The objective is to linearize Lx of fx at x=a.   It is known…

Q: Draw the bifurcation diagram for à = (x + 1)(x² – 2.x +r).

A: We are given : Now, the bifurcation diagram for this is :

Q: 8. Work out a Gaussian quadrature formula of the form Ans. A; = 1, x; = Aif(x1) + Arf (x2). f(x) dr

A: The given problem is to prove the following integral, the proof is to show the 2 point gaussian…

Q: 1. Construct the bisector of XY.

A: We need to draw bisector of line. AS per our guidelines we can not solve multiple questions so I am…

Q: Prove that H(x, y) = (x, –y) provides a conjugacy between x' = (4 })x and Y'= (; 7). X and Y' = 1 -1…

A: Given: X' =11-11XY' =1-111Y To prove: H(x,y) = (x , -y) provides conjugacy between both of the above…

Q: graph the points z = x + iy that satisfy the given conditions. 5. |z + 1| = 1 6. |z + i |= |z - 1|

A: Hi there, at a time we can answer only one question at a time and the exact one was not specified.…

Q: find the linearization L(x) of ƒ(x) at x = a.ƒ(x) = (x)^1/3, a = -8

A: Given :                 f(x) = x13  , a=-8        Linearization of function is given as :…

Q: Find the linearization L(æ) of y = (81+ 2æ²)-1/2 at a = 0. L(x) =|

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Q: ·[²₁₁-²² Compute (a) Trapezoidal rule de using the

A: Given integration is I=∫-11e-x2dx here f(x)=e-x2 For n=2 subinterval step size is h=1-(-1)2=22⇒h=1…

Q: Q3: Find the Wronskian for the following solutions. Y, = 1, Y =In

A: Wronskian= 112ln1+x1-xd1dxddx12ln1+x1-x= 112ln1+x1-x01x+11-x=1x+11-x

Q: a) f(z) = vz + Vz - 1 b) ƒ(z) = vz² + 9

A:

Q: 2 A = 1+i 3

A: Given matrix is A=21+i1-i3 let the eigenvalue is λ. So…

Q: find the linearization at x = a. y = (1 + x2)^−1/2, a = 0

A: We find the derivative of the given function using power rule and chain rule

Q: 1. Use the Chain Rule to find y = (u-2)³ and u = da in terms of x. 1 2x+1

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Q: LZHP - DTNV. Complete the statement below. ZZ = _2_

A: Consider the following condition: LZHP~DTNV Hence, ∠L≅∠D∠Z≅∠T∠H≅∠N∠P≅∠V

Q: Find the linearization of ƒ(x) = 2/(1 - x) + saqrt(1 + x) - 3.1 at x = 0

A: Given,

Q: Find the Wronskian of y = 2x + 3, y2 = x² + 3x, and y, = 1 -1. Use the result to determine if the…

A: As per guidelines, we will solve only first question. Kindly repost other question separately.

Q: Find the harmonic conjugate of u where u(x,y)=x^2 - y^2 -2xy-2x+3y

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Q: Draw the bifurcation diagram for i = (x – 3)(c + x)

A:

Q: find the linearization L(x) of ƒ(x) at x = a. ƒ(x) = x + 1/x, a = 1

A: Given fx=x+1x

Q: Determine the quadature rule of the form | f(r) dr = Aof(ro) + A1f(£1) + - *·+ Anf(Tn) a. when the…

A:

Q: Find the cemplex fourth routs of Z: 2 J3-22

A: Given, z= 2√3-2i Therefore, r= √[(2√3)²+(2)²] r= √(12+4) r= 4 θ= tan-1(-2/2√3) θ= -30°

Q: Sketch the bifurcation diagram for r' = x3 - ax.

A: Consider the given differential equation x'=x3-ax. Therefore at equilibrium point, x'=0. That is:…

Q: 8. Use the Chain Rule to find az/as and az/at. z = (y-2x)³, x = s³t², y=s+t²

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Q: QV A/ Find at (t-) as a funetion of t, if (x = t).(y= vE)

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Q: find Fourier sertes [o, 2w] an くxく下 O f cx)= (2 2下-X πく*く 2x fcx) = こ 2.

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: c) Use the Chain Rule to compute %3D ds se In (c) express your answer in terms of the independent…

A: Here, the given functions are: f(x,y,z)=x4y+z4, x=st2, y=st,z=s2t

Q: Use Gramer's Rule to Find K,y and Z -y-22 = -8 %3D + 32 = 2 %3D 7X +y+Z = 0

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: 17. Find the decomposition of the function h(x)= Vx² - Jx two different ways. %3D

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Q: If Ø : R3 → R3 be defined as Ø (x,y,z) = (2x, 4x –y,2x+ 3yz) then show that Ø is invertible. %3D

A: Given that ϕ:R3→R3 is defined as ϕx,y,z=2x,4x-y,2x+3yz. Now, ϕ is invertible if ϕ is one-one and…