Exercise (3-2): find Fourier series on [0,2n] Question Answer (1) f f(x)%=sinx sin x (4) f(x)=cos x Cos x
Q: Use Romberg integration to compute dr correct to three decimal places.
A: Given integration is I=∫01dx1+x Let f(x)=11+x Here a=0, b=1 if we take 1 subinterval, then h=1-01=1…
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Q: Find the Laplace transform of the following: 1. f(t) = e-2t+5) sin³(8t) 3
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Q: C. Hinge Theorem or SAS Inequality Theorem Given: CĀ = ER, ZACE > ZREC Prove: AE > RC R E A…
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Q: Write down the expression for the Euclidean norm of a vector x with n components. Write down three…
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Q: Conversion between Number Bases Q.6) a. Convert the following number to decimal form by expanding in…
A: a. 10010two is converted into decimal form by expanding in powers as shown below.
Q: Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]² 2. f(t) = V1+ sin t + (6t)13 +…
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Q: 9) Obtain the neetilinear attarymptotes.of the cunve
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Q: 3. Write down the name of the conic given by the polar curve r = 6/ (2 - sine). Determine the…
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Q: Let W- ((x. y, 2)|x-2y 32) Vector addition and scalar multiplication are defined by (x, y.z) + (u,…
A: Note: " As per our guidelines we will solve only first question . If you want any specific question…
Q: For each of the following series determine if the series converges or diverges. In(n) n n=2 n3 n=0…
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Q: 0<x< (11) f(x) =- 3D くx<2x
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Q: Find the Laplace transform of: 2. f(t) = v1+ sint + (8t)15 +t? cos 3t
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Q: The figure shows the level curves for a function f over a square region R. Approximate the integral…
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Q: x² +y² = 25from x = 2 to x = 4. Find the length of the arc of the circle
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Q: Find the line of intersection of the planes z + 2y – z = 1 and z + y + z = 1. Lütfen birini seçin:…
A: Given equation of plane is x+2y−z=1 and x+y+z=1. We have to find the line intersecting of the plane…
Q: 3s² +5s+5 F(s) = (s3+8s²+19s+12)(s³)
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Q: xy? x2 + y? and f (0,0) = 0, then which of the following is correct? (2) Let f: R2 –→ R be defined…
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Q: QUESTION 1 Which of the following is a general solution to the following 4x?y"+4xy'+ (4x2 – 25) y=0…
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Q: 1. y"+3xy'+3y = 0
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Q: Solve a following ordinary differential equation y'' + 2y = sec(x) PLEASE!!!
A: Given differential equation is y''+2y=secx. We have to solve the given differential equation. Write…
Q: 5s+3 6s 8 F(s) - (5s2+4s+1) s2+7 9.
A: The laplace transform formulas for e^(at)cos(bt) and e^(at)sin(bt) will be used in solving this…
Q: 7. True or false: Kg is planar.
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Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…
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Q: 25. Find the general solution of (sin? x)y" – (2 sin x cos x)y' + (cos? x + 1)y = sin' x,
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Q: 60. Radial fields and spheres Consider the radial field F = r/|r|, (x, y, z) and p is a real number.…
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Q: Perform the change of variables indicated in the problem to obtain the general solution to the…
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Q: Use the Egyptian's formula to calculate the area of a circle with diameter of 8 units. (roundoff…
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Q: Find all solutions to the following system of equations. х%3 1.5x(1 — х) — 0.7ху У %3у + 2ху — 0.5y…
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Q: Evaluate the double integral. || 3xy dA; R R is the region in the first quadrant enclosed by y =…
A: Double integral over the region
Q: Determine the supremum of the following set with full justification, if it exists. n - Sn = {an | n…
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Q: Determine the volume of the solid generated by rotating about the y-axis the region enclosed by y=…
A: Volume of the solid generated by rotating the curve y = f(x) about y axis from x = a to x = b is…
Q: Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]?
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Q: Use (1) X = eAtc (1) to find the general solution of the given system. 1 1 1 X' = 1 X 2 -2 -2 | X(t)…
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Q: The complex number z is defined by z= 3-z+4.j where z is real. a) Find, in terms of z, the real and…
A: We have to find the values of real and imaginary parts in terms of x.
Q: The line y= X+2 and the curve y= x contain bounded region between them. Find the volume of the solid…
A: The volume for solid of revolution between curves is the volume of object between a curve f(x) and a…
Q: tm 5.39x10 -42 ^ 539 mm a 23x23 mm
A: To do the conversion we use the following: 1 metre = 1000 millimetres i.e., 1 m = 1000 mm
Q: 0<x<T (-1)"-1 f(x) = { 27-x COS nX n<x< 27
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Q: Use the mixed congruential method to generate a sequence of 32 random numbers with Xo=8, a=9, c=13,…
A: By mixed congruential (µ) method Xn+1 = (aXn + c) mod (m) Rn = Xn /32
Q: Use a double integral to find the volume of the indicated solid. 8. X +y+2 8 00
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Q: d²y dy + 2b +y = 0 dx dx2
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Q: Evaluate cot (0.64i) Select the correct response: O 0.565 O -1.77 O 0.565i O -1.77i
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Q: Determine the Fourier transform of x(t) = eiu(t) and sketch the following: (a) |X(w)| (b) ZX(@) (c)…
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Q: Use the Egyptian's formula to calculate the surface area of a sphere with diameter of 30 units.…
A: Given diameter of sphere is d=30 units so radius of sphere r=d/2= 15 units
Q: V4-x2 c 3-x²-y? Evaluate the iterated integral. x dz dy dx -5+x2+y2 A) 128/15 B) 16/89 23/6 D) 6
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Q: 3. Find a Maclaurin series expansion for f(x) = cosh x 4. Find a Taylor series expansion around x =…
A: Macluarin series expansion of the function
Q: Problem 4: Derive the response of the following first order system to a step input. mở + cv = f…
A: Questions like as first order linear differential equations
Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…
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Q: A vector field representing wind speeds is given by v = æy³ i + 3x³y³j. %3D A walker can take one of…
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Q: Identify the elementary operation done in the original matrix to come up with the new row matrix.…
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- A continuous periodic signal x (t) of real value y has a fundamental period of T = 8. The coefficients of the nonzero Fourier series for x (t) are a1 = a-1 = 2, a3 = a * -3 = 4j Express x (t) in the formSHOW complete solution. If f(x) = x3 + x is a periodic function with period 2π, then the Fourier series will have the properties such asa. a0 = 0b. an = 0 c. bn = 0d. bn = 1Utilizing your own detailed explanation of what Fourier series of a two pi periodic function g(x) on the interval [-pi, pi] means, determine the Fourier function of the function of of g(x) shown below: {0, -pi≤x≤0} {1, 0<x≤ pi}
- Develop a periodic Fourier series f of period 2π, defined by f(x) = x if x ∈]0,2 π[ and f(0) = π; this function is represented graphically in the figure.f(x) = {x, 0<x<pi} {2x-x, pi<x<2x}Determine the fourier series for the function defineddevelop in Fourier series the periodic function f, of period 2π, defined by f(x) = x if x ∈ ↦π, + π[ and f(π)=0. this function is represented graphically in the figure
- f(x) and g(x) is periodic and has a Fourier Series representation: f(x) = cos(6*pi*x) g(x)=sin(6*pi*x) z(x) = f(x)*g(x) Find a0, a1, a2, a3 for z(x). Simplify as much as possible!The final form of the solution as a Fourier series the heat equation (homogeneous PDE, Neumann non-homogeneous but constant Boundary Condition):find the fourier series of f(x)=[pi-x/2]^2, <-x<-2pi hence deduce that pi^2=1/1^2+1/2^2+1/3^2+.......