let n be a positive integer. prove that (X nY) nZ = X n(Y nZ) for all x,y,z E Z

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A: We have to solve the given system by elimination method

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Q: Ex.5- Using the substitution t=sin(x), solve the following differential equation: "+tan(x) cos(x) y…

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A: Final answer and explanation are clearly mentioned in the next section.Explanation:To compute the…

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A: The ODE is given asTo answer for each part from a) to d).

Q: Find X(t)

A: Givenx′=7x−8y+sinty′=4x−y−cost

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Q: d) y" w²y = tan(wx) +

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Q: Consider the function f(x, y) = 2x² − y² + 4x + 6y subject to x + 2y = 20 a) Write down the first…

A: Consider the function  subject to .Let .To find the extreme points of the function  subject to the…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Ans 1: (d) Degree of polynomial is 6Ans 2 : (b) Function changes its sign at x =…

Q: 1330 HW14 - Amortization X + C…

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Q: 3. Apply Newton's method to f(x) = x³-5 using initial guess x0 = 1.5. a) Calculate x1, x2, and x3 up…

A: Since you have posted a multiple question according to guidelines I will solve first(Q3)  question…

Q: In Problems 15–28  find the general solution of the given higher- order differential equation. 23.…

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Q: (2) Use the definition of limit of a function to find lim x3+5x 2-22 - - 2 3x+2

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Q: • Defined Variables (if needed) • System of Linear Inequalties (if needed) • Desmos Picture • List…

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Q: Snacks 10% Movies 18% Candles Manga 20% Video Games 36% N

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Q: (d) lim n² – 1 2n² +3 1 2

A: The limit is :d) The aim is to show the limit

Q: Find x and x2 -2-4 X1 19 9 -2 3 X2 3 17

A: Given,              To find the values of

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Q: Write the function f(x,y) = xcosh(x)cos(y) - ysinh(x)sin(y) + i(xsinh(x)sin(y) + ycosh(x)sin(y)) in…

A: f(z)=Re(z)cosh(Re(z))cos(Im(z))−Im(z)sinh(Re(z))sin(Im(z))+i(Re(z)sinh(Re(z))sin(Im(z))+Im(z)cosh(Re…

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A: FINAL ANSWER:  (H∩N)is a normal subgroup of (H).  Thank YouExplanation:STEP−1 To show that (H∩N) is…

Q: Principal: $8,600.00  Interest Rate: 11% Date borrowed: 10/25/2024 Date Repaid: 1/31/2025 Days…

A: Principal: $8,600.00 Interest Rate: 11%Date borrowed: 10/25/2024Date Repaid: 1/31/2025Days (ordinary…

Q: Provide details/explanations of your solutions,indicate any formulas you are using and clearly show…

A: Final answer and explanation are clearly mentioned in the next section.Explanation: Please let me…

Q: Consider this subset of IR³. M=y |2xy = 0} Show that it is closed under addition and scalar…

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Q: Solve the given initial-value problem kxy + 2y = cos(kx), y() = k. Find a solution in an explicit…

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Q: Plz correct solution.

A: The objective of the question is to fit a linear regression model to the given data points using the…

Q: Show that the set { 159 is linearly independent

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Q: Consider the initial value problem my" +cy' +ky = F(t), y(0) = 0, y'(0) = 0 modeling the motion of a…

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Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…

A: Question is solved below Explanation:(i) To determine if (R,τ0​) is a Hausdorff space, we need to…

Q: B: Solve the following equation by Finite Differences Method, choose h = 0.25 d²y dx² 2-y=x+y '…

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Q: Solve the differential equation using the Laplace transform:

A: y(t)=t−3sin(t)+cos(t) In case of doubts please do let me know.  Standard Laplace Transform Table is…

Q: (D) Graph the function y = cos(x)+cos(x)| 2

A: The function is :

Q: . Solve the differential equation:y" - y = x by parameter variation

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Q: If you exchange the first two rows of A, which of the four subspaces stay the same? If v =(1,2,3,4)…

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Q: (C) Calculate the limits (1) lim 1-cos(x) (2) lim sin(x) x-0 x X1X x

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Q: Find the charge on the capacitor in an LRC-Series circuit if L = 10 henry, R = 20 ohms, C = 0.01…

A: Charge on the capacitor has been calculated with detail explanation . If any doubt please feel free…

Q: 2. The first few terms of a sequence (x) are given below. Assuming that the “natural pattern’…

A: Here, we have to given first few terms of a sequence. Assuming that the natural pattern indicated by…

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Q: Good afternoon, Unsure how to approach this.

A: detJ=p^2sin(phi)V=4/3(pi)p^3Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Harold Hill borrowed $19,200 to pay for his child's education at Riverside Community College. Harold…

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Q: Find the LU factorization of the matrix: A = 1 2 0 -1 -1 3 4]. 3 -2 -8 2 Show all the steps of your…

A: Answer is given in below stepsExplanation:Step 1: Step 2: Step 3: Step 4: