Use variation of parameters to solve the given nonhomogeneous system. dx 2х - у %3D dt dy = 3x – 2y + 6t dt (x(t), y(t)) =

Q: Find a power series for the function, centered at c. 1 h(x) C = 0 1. 1 - 4x Σ h(x) = n = 0 Determine…

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Q: c) F(s) = (s – 1)³(s² + 2s + 2) s2 + 2s d) F(s) = (s² + 2s + 4)(s – 1) 3 e) F(s) = (s + 2)*

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Q: A homogeneous system of equations is a system of the form a11 a12 ain ... X2 Aml ат2 Amn ... (b)…

A: We know that a homogeneous system of linear equation always has at-least one solution which is…

Q: f (x) = cos(x). Consider Using the given f function at approximate by making use of f (x). the first…

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Q: A population grows according to an exponential growth model, with P0=30P0=30 and P1=36P1=36…

A: Given that P0=30, P1=36

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (n +…

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Q: a (e) Let B = be any 2 x 2 matrix. COs a = U11 (i) Show that there are real numbers u1 and a such…

A: We will use the basic knowledge of trigonometry and matrices to answer both the questions you need.…

Q: Find te Turer saies onsion of the periodie fun cdon when definition of on eried are -2<tく - 5) 6くt…

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: Consider the relation R defined on Z given by a Ry 6|(x + 5y). a) Prove that R is an equivalence…

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Q: 37 Plot the point whose polar coordinates are -3, ). 4 options to change the snapping functionality…

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Q: Match the following series with the series below in which you can compare using the Limit Comparison…

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Q: Find 4°f(x) if f(x) = (3x + 1)(3x + 4)(3x+7)... (3x+ 19).

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Q: (2) Compute 2"-3n+2 5n-1 by explaining clearly why the series converges, and then actually providing…

A: Introduction: An infinite geometric series is one of the most important infinite series that are…

Q: 59. Write a function of the form y = tan (Bx – C) for the given graph. y 4 3 2 37 4 4 -3 -4 2.

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Q: Prove that the only homomorphisms from Z to Z (Z being the ring of integers) are the identity and…

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Q: P,q and r, (p q) ((p V r)(q Vr))?

A: A proposition is the case if its valid (i.e. its a tautology) p→q⇔p∨r→q∨r

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Q: ormulate but do not solve the following exercise as a linear programming problem. A company…

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Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

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Q: The function f (x) = ln(2 – x) is represented as a power - series f(x) = Cna". n =0 Find the first…

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by y…

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Q: Find he arc Length of the cunie below for 1exs12 y'=

A: To find the arc length of the below curve for 1≤x≤2. y=2−x2

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A: The given question is related with limits. Given that fx , y = 3y9x2 + 4y2 . We have to find two…

Q: -8 -3 -5 7 3 -9 -3 -4 -2 3 -1 -10 -4 10 -5 9 -2 0 5 [A] = [B] = 4 -8 -9 4 8-10 %3D %3D 7-6 0 2. -6 1…

A: Given: A=-8-3-55-4-23-1-948-107-60219-76 and B=73-9-3-10-410-59-24-8-610526-78 To find: 3A-4B

Q: 1 00 3. Determine by the direct comparison test if Ln=3 converges or diverges. n-2

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Q: Solve the system of differential equations x' = 31x + 56y ly' = – 16x – 29y - - x(0) = 7, y(0) = - 4…

A: In a system of differential equation X'=AX, if eigen values of A are a, b and corresponding eigen…

Q: Use the fact that dim(R(A)) = dim(C(A)) to explain why rank(A) = rank(A").

A: Here we can use the fact that  rankA=dimRA to prove the identity.

Q: Let z =f (x,y),x=x(u,v), and y=y(u,v) With x (5,3) =4 and y (5,3) =2. Calculate Z (u,v) at u=5,v=3…

A: Given- Let z = fx, y, x = xu, v and y = yu, v with x5, 3 = 4 and y5, 3 = 2.  To find- Calculate zuu,…

Q: 2/ Let fcantinous appicatiom Prove thet Fles sf)/BE then SePose fcef) and Proye fis continates a ff…

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Q: a) The region R lies inside the curve r = v2 sin 0 (for 0 <0 <7) and outside the unit circle r = 1.…

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Q: Exercise 4 * Suppose the following data points are generated by a smooth function f(x): 1/6 0.8339…

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Q: Find Fourier sertes [o, 2] an 2) fex) f Cx) = Sin X ニ

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Q: s3 c) F(s) = (s – 1)³(s² + 2s + 2) s2 + 2s d) F(s) = %3D (s² + 2s + 4)(s – 1) e) F(s): (s + 2)* 3.

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Q: that Var(X) = 727.48, Var(X) = 9536.23, and Cov(

A: Given,           Var(X) = 727.48, Var(Y) = 9536.23, and Cov(X, Y) = 2236.37 To the value of…

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Q: 2. Given: surface Q : 9a? – 422 = 9y %3D (a) Give the equation of the trace of Q on each coordinate…

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Q: Let [g] be an element of order 180 in Z181. Justifying your answer, say whether [19] is a primitive…

A: Here given ℤ181 is the addition modulo group of order 181. It is a cyclic group and 181 is a prime…

Q: Solve the initial value problem below. x²y'' – 6xy' + 12y = 0, y(1) = - 4, y'(1) = - 17

A: We have to solve the given initial value problem.

Q: y5 + 2y3 +2y" = 2x2-3 find the particular solution using undetermined coefficients

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Q: Is it the case that for propositions p, q and r, (pq) ((p V r) -(q V r))? ((PVr)(q V

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

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Q: Which of the following is a correct negation of the (open) statement (5|x V 4{ x)? Select only one…

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Q: 13. a) Show that if A and B are n x n matrices, at least one of which is invertible, then AB and BA…

A: (a) If A and B are two n×n matrices, and one of them is invertible, then show that AB and BA are…

Q: Find an integral to represent the area of the surface obtained by rotating the curve x= (y - 2)3/2…

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Q: 25.2. Find the Laurent series for the function 1/[z(z-1)] in the follow- ing domains: (a). 0<Iz| <…

A: Since you post more than one question, as per our guideline we can solve only first question for…

Q: Find 4°f(x) if f(x) = (3x + 1)(3x + 4)(3x +7) ... (3x+ 19).

A: See answer below

Q: (27) Consider the piecewise function f : [-L, L] –→ R given by Ja + L, if – L <x < 0 f(x) : x*, if 0…

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