Siven X(z) = 2 + 6z-1 find x(1) of x[n] 4 2z-2+13z-3 O 1 O 0.5 O-1 O 1.5

Q: 2. Use projections or transposes to determine the least squares quadratic that best fits the points ...

A: Curve fitting

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A: Please cheek the answer in next step

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A: Let (x ,y, z) any point on surface. We have to minimize function f(x,y,z) = x2 + y2 + z2 under condi...

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A: D=10(logI-logI0)=10logII0 Where I= intensity of the sound in watts per square meters I0=intensity of...

Q: L{2t5 e5t } =

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Q: 1. A curve passes through the points (1, 0.2), (2, 0.7), (3, 1), (4, 1.3), (5, 1.5), (6, 1.7), (7, 1...

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Q: (3) You are an accountant for a manufacturer of radios. The demand function for the tablets is p=40-...

A: Given:Demand  P = 40-4x2Here x = number of tablets produced in millions.  

Q: Convert the equation d°y dy -3 x y 0 dx3 -3. and initial conditions y(0)= 1.11983, y'(0)=0.83697 and...

A: Introduction: A higher order linear differential equation can be converted into a system of first or...

Q: L{t e¬at } =

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Q: Solve the initial value problem using the Laplace transform. y' = 9y + 6, y(0) = 1 y(t)

A: We solve the given IVP  y'=9y+6.....(1) y(0)=1 by using Laplace transform.  

Q: The particular solution of the differential equation y" – 6y' + 5y = -9e2* is Зе^2х e^x 2e^2x None o...

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Q: /hat is the value of p if the solution of the given near equations has infinitely many solutions Оа ...

A: System of Linear equations and infinitely many solutions

Q: dary value problem 2, then y(t/4) is

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =...

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Q: Find the extreme values of f(x.y) = 5x + 2y? subject to the constraint x + y? = 1. A. The maximum is...

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Q: Let W be the set of all vectors of the form [ 5t – (3r + 5s) 3r + 2t 5s – r +t r – 3s with r, s and ...

A: Column space of the Matrix

Q: Consider the following system of four equations. You are given two solutions X1 and X2. Generate fou...

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Q: A small funnel in the shape of a cone is being emptied of fluid at the rate of 13 cubic centimeters ...

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Q: Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the ini...

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Q: Prove the following by using: a contrapositive argument; the fact that a sum of integers is an integ...

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Q: 2. Let V be the set of all real numbers; define byu v = uv and O by cou =c+u. Is Va vector space? Sh...

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Q: Suppose F = (2xz+3y²) ay + (4yz²) a;. (a) Calculate Lf curl F· dS, where S is the shaded surface in ...

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Q: Find bases for the column space, the row space, and the null space of the matrix 1 5 -1 1 A = 2 12 1...

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Q: dy dx3 y (0) y' (0) 1 y" (0) = 0 || ||

A: Introduction: The differential equation of the form D3+aD2+bD+cy=fx is third-order linear on-homogen...

Q: Which of the following subsets of M, form subspaces? 3X2 Select one The set af all matries of the fo...

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Q: =) Let a E R[x] with ao #0. Prove that a has a multiplicative inverse in R[[x]. You may assume that ...

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Q: (7) Given the following pieces information, describe the set of solutions x such that Ax = b: (a) b ...

A: We shall solve first question only as you have asked more than one unrelated questions • for others ...

Q: Suppose G is a group with order pq, where p and q are distinct prime numbers. If G has only one (4) ...

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Q: Use Newton's method to approximate a root of the equation x° + x + 3 = 0 as follows. 1 be the initia...

A: Here  x3 + x + 3 = 0Let  f(x) = x3 + x + 3 ∴ f′(x) = 3x2 + 1x0 = -1

Q: If sin B = − 1 5 with B in QIII, find the following. cos  B 2

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Q: 2 4xy" + 2y'+y = 0; using the series solution method. 3. y" – 8y'+15y = 9te", y(0) = 5, y'(0) = 10 ;...

A: We are entitled to solve only one question at a time. As the question number is not specified, so we...

Q: -1, 1] then abs on is

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Q: 3 7 If the characteristic roots of 2 5 are A1 and A2 the characteristic root of .7 are - 2 3

A: Let A = 3725  Here the matrix 5-7-23 is adjoint of matrix A.

Q: 1. Solve the following linear systems using Cramer's Rule and Gauss Elimination Method. 0.5x + 3.5y ...

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question s...

Q: Let Mıs(IR) = {A/A and 15th order square matrix with real elements} and consider the linear operator...

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Q: a, az B. In R*, let W be the subset of all vectors v = that satisfy a, -a, = a, –a,. az a) Show that...

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Q: dy a) +7y = 5cos2t Assume zero initial conditions. dt d'y a) dt? dy +y=8(t-2) where y(0)=1 and y'(0)...

A: Some of the properties of Laplace transformation L-11s-a=eat  Lu(t-c)=e-css Lδ(t-c)=e-cs L-1e-asF(s...

Q: ,A large cube of ice melts such that it maintains its shape. The surface area is decreasing at the r...

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Q: (b) Consider the following vectors u, v, w, and z u = [9.3 1.6 -0.9], v = [-7.8 5.9 5.3], w = [5.1 0...

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Q: Suppose a is an integer that is relatively prime to 400. Prove that a40 = 1 (mod 400).

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Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of  1.25% per ...

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Q: Can the Fundamental Theorem of Calculus be used to find x²-x+3 dx ? x²-x+3 O No, f(x) = is not conti...

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Q: Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the ini...

A: Given  y′ = x - xy, y(1) = 2

Q: ) Given Xa+1 = X+ 2x3 + 3X, shown below (also shown is Xn+1 = Xn), and X5 = 0.1, what is AX;? a) 0.2...

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Q: Use the Laplace transform to solve the initial value problem below. y" – 2y' + ly = t, y(0) = 0 , y'...

A: Given differential equation is y'' - 2y' + y = t with y(0) = 0,  y'(0) = 1

Q: Find r(t). 1 (s + 8)3 f(t) =

A: L { xn} = n!sn+1L-1 n!sn+1 = xnL-1 1s2+1 = x2L-11s3 = x2Also L{ eat f(t) }= F (s-a)L{ e-8t  t} = 1(s...

Q: a az 3. In R", let Wbe the subset of all vectors v = that satisfy a, -a, = a, – a,. az a4 a) Show th...

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Q: Which among the following statements is true? * Every conditional statement is logically equivalent ...

A: The 1st two statement is not correct since we know that A conditional statement is logically equival...

Q: 5 In(x Create a bucket by rotating around the y axis the curve y contains a liquid with density 840 ...

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Q: List the possible rational roots. Find all roots, real and/or imaginary, of the function using synth...

A: Given function is hx=6x3+7x2−16x−12