What are the fourth roots of -3+3√/3i? Enter your answer by filling in the boxes. Enter the roots in order of increasing angle measure in simplest form. Cis cis) cts() cis

Q: Q2: find the Laplace of the following functions: (cosw, for 0<t< a- f(x) = TC 2π 0 ,for, < t < ² W

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Q: Let br = sin-¹) and C₂₁ = sin Σ(1+bn) n=2 +00 Σ(bn – cn) m=? ou+ for all n N such that n ≥ 2

A: both of the series is divergent. see my solution below

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Q: Q2/4) Evaluate Lyapunov stability of the following system using Krasovskii functional method. Hand…

A: Let us evaluate Lyapunov stability of the given system using Krasovskii functional method in  the…

Q: a. 3. What is

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 1. Solve the following partial differential equations by direct partial integration. (i) = 4ty [u=…

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Q: Write the function in the form f(x) = (x1 k)q(x) +r for the given value of k. f(x) = x³ - 6x² - 13x…

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Q: Consider a fair coin tossed three times and three events are defined as follows: . E1: a head comes…

A: Solution : If two events are independent than, Probability of their intersection is equals to…

Q: Suppose each matrix below represents the augmented matrix for a system of linear equations. For…

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Q: ∞ ∞ Suppose an>0 and a diverges. Prove that n = 1 n=1 ∞ an an contrary suppose Σ converges, then I +…

A: Let us start solving the problem step by step    an&gt;0 and sigma an diverges... We must prove the…

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A: Firstly , we will write the 5th and 6th degree polynomial separately.  for x= -1, we can calculate…

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A: The given problem is to find the flux of the given vector field over the given surface bounded above…

Q: 1)Determine whether the Fourier series of the following functions converge uniformly or not.  f(x)…

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Q: Minimize f(x) = x² + 54 ; using Interval halving method for 2 ≤ x ≤ 6. E= 10-³

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Q: Consider F = {a+b√2: a, b = Q}, equipped with the usual addition "+" and multiplication 29.99 as…

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Q: Student T23456TDORFER 15 = b.) r=-0.045 IQ Score Statistics Grade

A: If there are n samples and two variables x and y then the correlation co-efficient is given by…

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Q: lity Orger gett

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Q: 10s²+17s+12, S³+27 g. 8. L-110.

A: We need to evaluate the the value of L-1{10s2+17s+12s3+27} Formulas for inverse Laplace…

Q: I. Simplify. Write "undefined" for expressions that are undefined. 1 -6 4.) 0 + 4 3 55 3

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Q: or convergence of Fourier Series representation?

A: a) 1. The function should be integrate over the given interval. 2. The number of maxima and minima…

Q: Solve the equation using Reduction of Order y" -y = 2et Oy=c₁e + c₂xet + e* (x + c3e-²x + C4)…

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Q: How to do fraction

A: The fraction in the literal sense means the number of parts of a whole. For instance, we have a…

Q: Consider the system of equations x+2y+32 = 0 2−g=0 x + kz = 0. a) Calculate the determinant of the…

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Q: aldate the following meg a.) JIS a ln y tan z dV if S = {(x, y, z) = ) € R³ : -1 ≤ x ≤ 0, e ≤ y ≤…

A: We have to find Tripple Integral of region S.

Q: QUESTION 10 Let f(x) = sina and g(x) = cos x, and W = span{f,g}. 10.1 Use the Wronskian to show that…

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Q: 3: Using Laplace Transforms, find the solution of the initial value problem: d²y dx² +9y 9. sin(t).…

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Q: dy Write down a differential equation of the form dt solutions all approach y = as t- →8. y' = = 78…

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Q: matrix but not necessarily in natural order is called *       Unit Matrix       Scalar Matrix

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Q: xbe inner froduct x+y Lx_y ?

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Q: The solution in implicit form is where C is an arbitrary constant. = C ||

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Q: I. Solve the following Linear Systems of Equations by Gaussian Elimination: 2.) 3x + 3z = 0 2x +2y =…

A: We have: 3x+3z=02x+2y=23y+3z=3 Writing this in matrix form: 303220033xyz=023 The augmented matrix…

Q: Let f be the linear transformation represented by the matrix 4 A = 32) -2-4 Find the factor by which…

A: The absolute value of the determinant of a matrix of order 2 is the factor by which f scales areas.…

Q: 5. Solve the problem kuxx = xt, u(x,0) = 0, u₁(x,0) = e, Utt - kuxx -∞ 0 ∞ < x < ∞ ∞<x<∞ -

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Q: II. SET-UP a triple integral that will solve for the volume inside the sphere x² + y² + z² = 2z and…

A: According to the given surfaces, x2+y2+z2=2z and x2+y2=zThe limits for y is from 2z-z2-x2   to…

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Q: 1. Evaluate the following integral: fff a ln y tan z dv if S = {(x, y, z) = R³ : -1 ≤ x ≤0, e ≤ y ≤…

A: Let us consider a triple integartion ∫ab∫f(x)g(x)∫h(x,y)p(x,y)F(x,y,z) dzdydx To solve the…

Q: Solve the equation using Reduction of Order y" -y = 2et Oy=c₁e¹ + c₂xet + e* (x + c3e-²x + C4)…

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Q: Q.2 Evaluate t*e2t

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Q: Show that the substitution x=e, y=e converts the equation ди ди Hu д 2 02, +y2 +x ду2 дг +y 0 ду…

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Q: GIVEN THE FOLLOWING MATRICES 5 -2 -4 2 3 2 4 E = -4 -4 0 4 -3 3 FIND THE FOLLOWING 1. (1,2) entry of…

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Q: For all x € R, sin.x = Σ (−1)"x2n+1 (2n +1)!* n=0 ■Find a power series that is equal to x³ sin(x²)…

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Q: First the pieces: End result (in terms of just t): = 江 西 | Use the chain rule to find, where di N =…

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Q: QUESTION 3 Let V be a vector space and let u, ve V. IfW= (au+Bela, ß e R), prove that W is a…

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Q: For each positive integer n, let Monotone Convergence Theorem. (2n)! Show the sequence +00 converges…

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Q: Determine the z-transform of the following: n 20 x(n) = n<0 O · </²/<2 5 3 1-²-(1-22-1) 5 3 1 -z 3…

A: Z transform of the function

Q: Which of the following third degree interpolation polynomials can be developed from the given data…

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Q: A company produces a special new type of TV. The company has fixed costs of $493,000, and it costs…

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Q: f(x)= == ¹xcl! Obtain the Fourier transform of

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Q: 1. I. Evaluate each determinant. -3 -4 -5 3

A: Solution :  Given that  -5-33-4