Solve the wave equation for h=1 upto time t = 1.: d'u ôt² Ox² With B.Cs: u(0,1)=0, u(5,1)=0 and the I.Cs: 1,(x,0)=0, u(x,0)=x(5-x), at t=0. 16-

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A: Given :              X=f∈C0 , 1 : f12>0Y=f∈C0 , 1 : f12<0 Show that :  C0 , 1 and C0 , 2 are…

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Q: Determine the Fourier series expansion for f(x): f(x) = x, XER, -T≤x≤T f(x) = f(x + 2π)

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Q: Q1. Q2. Solve the initial value problem of first order linear differential equation: x+y=e*; y(1) =…

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A: Given : Region bounded by the graph of  y=3x-1 and x=y2-3 To Find : Center of mass of the solid…

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Q: Solve the given differential equation by separation of variables. dy=x√√1-y² dx

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Q: Q.3 (12 pts) Consider the matrices U = 1 2 34 and V = in the a 2 7 a vector space M22, the vector…

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Q: 17 less than twice a number A) 17-n B) n - 17 C) 17-2n D) 2n-17

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A: Consider the equations of given four different planes, -43x-4y+z=-42x-4y+z=-42x+y+z=-4-43x+y+z=-4…

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Q: 1 (b) The mail bag for Amy's morning route weighs 9 66 The mail bag for her afternoon route weighs…

A: Sol:- The mail bag for Amy's morning route weigh =925=475=9.4The mail bag for Amy's afternoon route…

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A: We know that a topological space is metrizable then it is regular. For example, Let ℝ be a set of…

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Q: Question 1 Is the point (73, 80) on the line 2.39x + y = 254.47? Yes No Question 2 Is the point (40,…

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Q: dz Find the total derivative given: a) z = f(x,y) = 2x + xy-y² where x = g(y) = 3y² b) z = f(x, y) =…

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Q: Bionomial Theorem  Find the 5th term in the expansion of (1-2x)10

A: The given expression is: 1-2x10 We have to find the 5th term in the expansion of the given…

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A: Given  F(s)=logs2+1(s-1)2⇒F(s)=ln(s2+1)-ln(s-1)2 Now differentiating with respect to s…

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Q: Let G= Find all the conjugate classes of (G,.). (i.e G={1,a,b,a.b}).

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Q: Question 2 Prove the statement:: "For all integers n, if 3n+ 5 is odd, then n is even." (Hint: You…

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Q: Given the following non-linear model Min x² + y² + 2x²y + 2xy + 2x²y²-8x-6y-14zy subject to 2² + y²…

A: given model Min x2+y2+2x2y+2xy2+2x2y2-8x-6y-14xy subject to  x2+y2≤5 (1) formulate the first two KKT…

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Q: → (a) Write down the vector AB joining the points A and B and with coordinates (1,3,-6) and (-9,…

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Q: Problem 8: Prove that Every Cauchy sequence in metric space (X. p) is bounded

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

Q: 2X+1 1) y-vX: zx+\ X { X-4

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Q: Please teach how to solve not just solve (concepts) each of the following matrices, calculate the…

A: Given : 1 X=162680212062X'=16268021206'3 Y=4-169 Note : According to the Bartleby guideline we are…

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Q: For the following sequences, calculate their limits superior and inferior. (a) (b) ((-1)" (1-))1 (c)…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…