1- Find the singular point of the function f(z): and obtain the principle part of %3D z-sin(2) the Laurent series expansion of f(z). z coshnz 2+13z+36 [t2 +1 t-1 2- Evaluate (CCW) dz, C:2 = n. 2 %3D 3- Given A = Evaluate A and show that (A?) 24 de 5. dt c200
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- Suppose you buy $3400 worth of furniture for a new house. The furniture store is offering a fixed installment loan with three-year financing with no money down at 11.93% annual interest. Find the total installment price. The monthly payment is $112.82. Round your answer to the nearest cent.Q) find Fourier series on [-7,1] – 1 |4 -πH is a fixed number , AB=15 f(x) = { 0 -AB < x < 0 0 < x < AB H. Find the period of the function, calculate the coefficients in the Fourier series expansion, and mark which values n=1 are. а. an=0.637H; a0=0;bn=0 O b. an=0; a0=H;bn=0.637H O c. an=2.pi.H/11; a0=H/11;bn=0 O d. an=H; a0=0;bn=H е. an=0; a0=H;bn=0Find the Fourier series for the given function. f(x) = 9 2⁰⁰ 9 2 πm=12m - f(x) = 9 - - Σ 100 9 Im=1M - 1 f(x) = 20⁰ 9 Σ πm=12m - 1 f(x): = - 200 9 Σ πm=12m 2 9 9 °ƒ(x) = ²/1 + ² £; Σ 2 πm=12m - 9|N9|N 2 -sin 1 -sin f(x) = {% (2m 1)лx L (m1)лx L (2m — 1)лx) L (2m — 1)лx - L (2m − 1)лx) L 9, L≤ x < 0, 0 ≤ x < L; ¡cos((2m. -sin 1 -7cos (12m- -COS 1 f(x + 2L) = f(x)Q7:4 Find the taylor series for fcx) = centered at a= 2 (-1)**1 (n + 1) 2-2 00 ( A) Σ x-2y (B) E (-1)*+1 (x - 2)" n=0 n=0 (C) i x - 2y" (D) E (-1y" (n + 1) 00 (-19*-1 2-1 (x- 2)" n=0 n=0 (-1)" (n + 1) (E) E 00 (-1y" 2n (x-2y n=0 (x-2y" (F) E n=0 (G) E ED*D (x – 2y" (H) E (-1)*-1 (12 + 1), 00 00 (-1)" n=0 Chose 1 of the given options as your answer!period ≤ t ≤T. The following f(t) is a periodic function of period T = 2π, defined over the f(t) -2 when < t ≤0 = = {₂ 2 when 0 < t < T " of period T = 2πT. Express f(t) as a Fourier series expansion. Showing result only without reasoning or argument will be insufficient.1. Find the Fourier series expansion of the following periodic function: -2 < t <0 0Find the Taylor's or Laurent's series expansion of the complex variable function which is represented by : f(z) = ; i) 1< ]z] < 2 ii) ]z|< 2. Also (z²–1)(z²+4) z2 classify the singularity of f(z) %3D (z-2)ez-1In the Taylor series expansion of f(x) = e2" + about x = 1, the x+2 coefficient of (x – 1)² isRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,