Find the Fourier series of the function f(x) = |x| which is defined over the range - TT

Q: A pelican fleis 26.5 kilometers in 3 hours and 20 minutes. Find the unit rate.

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Q: find the general solution for the equation Y() = -[Y(+)]³² +Y()

A: Use the following formulae, to obtain the solution. ∫dxx-a=lnx-a+Clnxy=lnx-lnyelnx=x Where a and C…

Q: Recall that the Fourier series of a function defined on an interval of te form [-L, L] is of the…

A: Since you post more than three subparts questions as per our guideline we can solve only first three…

Q: 2: Let f be differentiable function on (a,b) and continuous on[a, b]. Let g be define Rang f. If f…

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Q: 2. Solve 2x² x² d² - 2 dx 2 X dy dx - (x + 1)y = 0, by the method of power series.

A: Since you have posted a multiple question according to guildlines I will solve first(Q2)   question…

Q: Given the following matrices. Solve for the following: 15 25 58 81 2 14 A= 10 11 5 B = 42 3 -1 -6 42…

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Q: Find inverse Laplace: 1 es S

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Q: Consider an RLC circuit with resistance 2 ohms, inductance 0.05 henrys, capacitance 0.006 farads,…

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Q: Use the eigenvalue method to find the general solution of the system x₁ = =−x1x2, x2 x₂ = 10x₁ + x₂.

A: Given system  x1ι=-x1-x2x2ι=10x1+x2 in matrix form X'=AX, system can be written as…

Q: u are on a 4-week vacation, you will play at least one set of tennis matches each day, but you…

A: Nos of week vacation: 4 Given condition: Play at least one set of tennis matches/day. Can't play…

Q: 3. Determine the center and radius of the following sphere: x² + y² + z² - 2x - 4y + 8z - 15 = 0

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Q: Find cos(4x) sin(4x) da.. To cos(4x) sin(4x) dx : =

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Q: = 2. Find the Fourier series of the function f(x) -4, 4, - π < x < 0 0 < x < π

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Q: 2 15. ty' + 4y = t² − t+1, y(1) = ½¼/1, t>0

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Q: Answer the following MCQ questions: 1. In comparison to Jacobi's iteration method, the gauss-seidel…

A: (1) In Gauss-Seidel method  since, the current values of the unknowns at each stage of iteration are…

Q: Find the quotient and remainder on dividing 6x² + 8x +3 by 3x + 1. The quotient is

A: Like two numbers, division can be performed between two polynomials also. In division of two…

Q: 15 Down: The ODE in r we must solve when solving the vibrating circular membrane is due to ________

A: To slove the puzzle

Q: The question is use the amortization table to determine the payment required to amortize a loan of…

A: Summary of Calculation: Monthly pay = $ 300.30 Total of 30 loan payment = $ 9008.94 Total interest =…

Q: Q2) Use the chain rule to express dy /dx in terms of x and y y = sint and t = cos x where t= 0

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Q: Use the Table of Integrals to evaluate the integral. Please show all work so that I can…

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Q: 3: The cubic interpolation method with two points has converge rate with order three. True False

A: Solution

Q: 3. Find the limit: 6x4 lim (x,y)-(0,0) 5x8 + 6y²

A: We have to find the limit :   lim(x, y)→(0,0) 6x45x8+6y2

Q: Use substitution to find the general solution of the system x₁ = 3x₁ + 7x2, x2 = 3x1 - 1x2.

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Q: Let V be a n-dimensional vector space over F. Suppose W1 and W2 are two (n − 1)-dimensional…

A: It is given that V be an n-dimensional vector space over F and W1 , W2 are two (n-1)-dimensional…

Q: Evaluate the z transform of x(n)= a(n) u(n)

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Q: e al HIIL equ U VILII the discrete topology T, then (X,T) is compact. * O True O False

A: Given that X be an infinite set equipped with the discrete topology T.

Q: (1) Construct an example for three distinguish points A, B and C in a 3- space for validating the…

A: For every three-dimensional vector a→=ai^+bj^+ck^, the corresponding point has the coordinate a,b,c.…

Q: Situation 3. A stone is shot on a level ground at an angle of 56° with the horizontal with an…

A: Stone is shot at an angle 560 from the ground with an initial velocity 112 m/s

Q: 7 Find arc length: r(t) = 3 cos ti + 3 sin tj + 5t²k Find K: r(t) =; t = 0

A: This is a problem of differential geometry.

Q: A population numbers 19,000 organisms initially and decreases by 2.1% each year. Suppose P…

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Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At 1:0,…

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Q: y=-0.2(x-5) - 6

A: Given: y=-0.2x-5-6 To list: Parent function and 4 transformations used.

Q: The standard form for (F.O.D.E) y = 3y' - 4x + 5 is 4 5 y'-y = 3x 3 Option 1 4 5 y' - 6y=3x-3 Option…

A: Firstly we make the coefficient of y' is 1 and convert into the standard form  y′+p(x)y=q(x)

Q: 5. Find the slope for f(x, y) = xey at P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: To find the slope for function f at point P in the direction of the line from M to N.

Q: Let u = [3] [3] V= 9 Find 7 v-6 u.

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Q: olve the following: Each question is

A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

Q: Identify the vertex, axis of symmetry, and x-intercept(s). vertex     (x, g(x)) =…

A: Given, equation of parabola is g(x)=(x+5)2 Now compare with g(x)=a(x-h)2+k a=1, h=-5, k=0 So vertex…

Q: 21. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

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Q: Z is a complex number

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Q: 9: In the steepest descent method the vectors (Xk+1-Xk) and (Xk+2-Xk+1) [2] [4] [2] =S. are…

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

Q: 7: The point X = [0 0] for the function f(x) = 2x2 + x + 2 represents a A: Saddle Point for f(x) B:…

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Q: 1. Find the numerical Integration of cos(x) + sin(x) where n = 4 using trapezoidal rule.

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Q: A necessary condition for a function to be unimodal on the interval [a, b] is that strictly convex…

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Q: -31 B -9 .The QR factorization of -6 [/²/3 - 1/√√/2] 3√√2 = √2 2 0 - 1/2 √2) (a) Applying the QR…

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Q: Fill in the table and sketch the graph of the following equation. f(x) = -2x - 5 3x + 18 =

A: The given function is f(x)=-2x-53x+18.

Q: -3 -2 -1 x(t) + 0 -1 3 t

A: The given problem is to find the Fourier coefficients and Fourier series expansion for the given…

Q: Problem 13. Let q be an integer. Suppose that q> 2, and that for any integers a and b, if Attach…

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Q: Let y = [3] and u = [2] to the line through u and the origin. Compute the distance from y

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Q: Find the indicated vector. Let u-[] [] u= V= Find 7 v - 6 u.

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Q: The value of a piece of a vehicle after t years is given by V = 47,500 (0.7). Round all your answers…

A: Find the value of vehicle after 2 and 5 years :-