-3- 4 13 -2

Q: Find the Fourier series of the given function f (x), which is assumed to have the period 2p . f(x) =...

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Q: +oo 1 Σ -1-n n=1 WI

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Q: z = f(a + y, 2ry) f we take u = x' + y' and w = 2xy we obtain z, = 2xf, + 2yf, and z, = 2yf, + 2xf.,...

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Q: (s-4)3 5.

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Q: Determine the equations of the line through P(-1,2, 1) and parallel to the line of meek section of t...

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Q: 6/30° + j5 – 3 (а) -1+j+2ej45° (15 – j7)(3+ j2)* (b) - (4 + j6)*(3/70°) means you need to conjugate ...

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Q: Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors ū1, ū2, ūz of the symmetric matri...

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Q: +o0 4 1. Determine if the series converges or diverges. If it converges, find its sum. n² + 4n + 3 n...

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Q: 1. Find the distance between the two planes - 2y + z=4 and z-2y+ :-1 HI

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Q: 2" Let an = 100+ and bn 1 for n >1. (n +3)! en en+1 (a) Show that {am} is monotone and bounded below...

A: The main objective is to check the convergence of the sequence and series.   As per our guidelines I...

Q: Q1) The eigenfunctions for an infinite square well of the form (0, 0 <x < a loo, otherwisw V(x) = ar...

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Q: Given points M(-1,2,1), N(3,-3,0), and P(-2,-3,-4), find the following a) RMN b) RMN + RMP

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Q: ) Let t > 0 and set tS = {tx : x E S}. Show that sup(tS) = tsup S. %3D %3D

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Q: i need the answer quickly

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Q: 2022" + n2022 lim sin n00 2022! + n!

A: Sin(x) is a periodic function whose values oscillates between -1 to 1 as n-&gt;∞ the given sine func...

Q: Consider the series E (In (2n + 1) – In(2n – 1)) . n=1 (a) Let an = In(2n + 1) – In(2n 1). Does {an}...

A: The main aim is to check the convergence of the series based on the sequence of  nth partial sum of ...

Q: Find the pattern between these numbers in and state it as a function of x: 2 4 16 96 768

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Q: The fractal C is constructed as follows. (i) Begin with the line segment Io = [0, 1]. (ii) Remove th...

A: (a.) Find the total length of the intervals removed from 0,1after three iterations. The fractal C or...

Q: 2k 8∞ Ek=072k) ! Lk%3D

A: Let us consider the function f(x)=ex The expansion of the exponential function is  ex=∑n=0∞xn(n)!=1+...

Q: 13 In a giant pot iuere is iunitially Liters of liquid. I liter of addeol every hour, the pots CUreu...

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Q: cosQ -sinQ Rotation matrix on the plane (2n - 2). R = sinQ cosQ : : -W RWR' = w W = show me that the...

A: Given R is rotation matrix such  that R=cosQ-sinQsinQcosQ also there is matrix  w^=0-ww0 we have to ...

Q: l2: = 1-s, y = 3+ s, z= 3+2s l: =1+t, y = 2- 2t, z= -3+t Determine whether the given lines are paral...

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Q: Q1. Test for convergence of the following alternating series El-1)n+1_n+1 E(-1)*+1 In +1 n=1

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Q: Please solve (a)

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Q: ACTIVITY If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,4,5,6}, B = {1,2,3,5,7}, C = {2,4} and D = {8,9}....

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Q: (a) Consider the table below for an arbitrary function y = = f(x). I |1|2| 3| 4 | 5 6| 7| 8 f(r) | 9...

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Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Find its interval of convergence. Approxi...

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Q: Use synthetic division:(2x^3 - 5x - 7) ÷ (x - 2) O 2x3 - 4x2 +3x - 13 2x3 + 4x2 +3x - 1 O 2x2 - 4x +...

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Q: Find the inverse Laplace transform fſt) if F(s) is F(s) - se (s+1Xs+2) Solution1:

A: Inverse Laplace transform of the function

Q: Consider the series (In(2n + 1) –- In(2n - 1)). n=1 (a) Let a, = In(2n + 1) – In(2n – 1). Does {a,} ...

A: We first check whether the given sequence in (a) is convergent or divergent.If it is not convergent ...

Q: Define which of the followings are ring homomorphisms from M2(Z) to Z. (:)- a (a) Ha (projection ont...

A: Ring homorphism 

Q: 7x If the function y= e' O on the interval (-co,00), determine is a solution of y" -ay+ 14 y = a) 5 ...

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Q: The supply and demand curves for a product are given by the following equations: P = aQs +b and P = ...

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Q: Determine whether each of the following series converges or diverges using comparison test, behavior...

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Q: Find the length of the curve given in polar form as r= e,- <o<a a)2/2 sinh(7) b)sinh(") c)2 sinh(7) ...

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Q: Use Cramer's rule to solve the system. 2x1 + X2 - 3x1 = 12 + X3 = - 15 + %3D X2 + 2x3 = - 4 %3D

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Q: Seven friends are seated around a circular table at a wedding reception. In how many ways can they b...

A: As per the policy of bartleby the provisions is to solve only one question at a time 

Q: Use the cofactor expansion to compute the following determinant: 10 -9 3 det -5 6 -7 = 0 -7 1 -9

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Q: Please explain your answer in detail. Use Cramer's rule to solve the system. 2x, + X2 - 3x1 = 12 + X...

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Q: +00 (e) Σ (-1)" (n+1) In(n+1) n=100

A: The given problem is to determine whether the given series is convergent or divergent. We can check ...

Q: If the function y= e O on the interval (-0,00) , determine 7x (X is a solution of y" -ay+ 14 y = a) ...

A: Here given differential equation as y''-ay+14y=0 ......1 or it can be written as y''-a-14y=0D2-a-14y...

Q: QUESTION 7 An optimal solution requires that all artificial variables are there are no special requi...

A: We know, an artifical variable may appear in an  optimal solution to any given auxiliary problem wit...

Q: -2 0 Let A = 3 1 %3D 3 -3 (a) Find the determinant of A. det(A) = (b) Find the matrix of cofactors o...

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Q: Find the derivatives of the following functions (use derivate definition): i) sen x 11) cos x

A: The given question is related with the derivative of functions. We have to find the derivatives of t...

Q: 124x1 + 245x2 + 35x3 + 24x4 = 24 %3| 356x + 24x2 + 35x3 + 75x4 = 2 %3D 24x1 + 56x2 + 35x3 + 67x4 = 4...

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Q: Consider the series >(In(2n + 1) – In(2n – 1)). n=1 (a) Let a, = In(2n + 1) – In(2n – 1). Does {a,} ...

A: Introduction: For an infinite series ∑n=1∞an, the sequence of partial sum SNN=1∞ is expressed as SN=...

Q: Q3 Use Secant Method to find the root of the function. F(x)= cosx + 2sinx + x^2 to 5 decimal places

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Q: Determine whether the following sequence is convergent or divergent. Justify your answer. {Vñ - Vn+1...

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Q: 10. y'- (у -у?) соos x%3D0

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Q: The temperature T (in degree centigrade, "C) in a solid metal sphere is given by the function e Answ...

A: Given T(x,y,z)= e-(x2+y2+z2) 1)The rate of change of temperature in the direction of X-axis is ∂T∂X ...