4. Calculate the Complex Fourier coefficient c, for the periodic function Sm -n

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A: We have to solve the given problems.

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A: Given f(x) = -10v.  When -π < x < 0              = 10v when 0 < x < π.   Graph of this…

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Q: -3 if 0 6 The Fourier sine transform of f(x) is sin 3w a) 6 2 (sin 6w b) -3 1-cos 6w с) —3 -cos 3w…

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Q: Ex:. Find the fourth roots of Z=-di Say no 4 K = 0₁12₂3

A: given z=-8i To find the fourth root of the given complex number proceed as follows comparing the…

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Q: Use Cramer's rule to solve for y (y only) in x+y=z=6 3x - 2y+z=-5 x + 3y - 2z = 14

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A: Given Differential equation is D2+2D3+10D2y = 0

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Q: Suppose a 2nd order constant coeficient ODE has a characteristic equation with complex roots equal…

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Q: 6у" + 26у — 0, y(0) = 9, у (0) — 4.

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Q: Now, 2 x (+) dt 2 50, d2x(+) dt 2 -1 d2x(1) dt 2 is +2 J2x(+) ct 2 + 1 +2 = -15(++ 2) + 25 (1-0) +…

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Q: 10, 14, 16, Page 52. Find the real and imaginary parts of the following functions: (a) f(z) = −3z +…

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Q: dz Use implicit differentiation to find dx In(x+z?)+yz+6x?=7 2(7x2+722+1) 2(3yz + 3x?yz + 2)…

A: We can solve these question using the properties of partial derivatives as below

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Q: . Find the real coefficients a and b such that the function u = 4r +4r'y+ar y² -4ry+by is harmonic…

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Q: There is a partial insurance policy that pays $80,000 upon the bad drought state (and $0 in the…

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Q: following

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Q: (0.52)* ) 1 1+x²

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Q: |(0,3) C1:x2 + y? = 9. (-3,0) C2 (3,0) Figure 1 Based on Figure 1 and given that F = y²i + (3xy +…

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Q: Graph the equations 1. y= x²+4x+3/2x²+3x+1 2. y²= x+3/2x²+3x+2 3. r= sin 0+ 2cos²0 4. r²= sin2 0 -…

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Q: 71. Use Figure 4 to prove V1- 12 d /1 – x2 + sinx FIGURE 4

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