5. Which of the following series is divergent? - Στα (4) a. Stanz n=1 1 b. κ. Σι(π). Στα (47) sin C. tan ηζ η n=1 n=1
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- 1. Find the sum of the series (-1)" n2 + 1 (The answer should be a real number). ANSWER: (T / sinh 7 – 1)/2Q4. Find the Fourier cosine series for the function: f(x)= 1 0 1 0Which of the followings are divergent series? 1. E 5+2" n31 2nt2 II. 1 00 1 4n1 II. E(sin1)" IV. cos(nn)7"/2 n-1 O a. I, II O b.I, IV O d. II, IV O e. II, IIQ3. Find the cosine series for f(x) = 7 – x in the interval 02. Find the sum of series 20 (2 – 3r)(r + 1). *=5 3. Find the first four non-zero terms of Maclaurin's expansion for sin(-a) c1 Hence, evaluate the integral ² sin(-a²) dx.Q19// A scalar filed V = xyz exists over a surface S defined by x² + y² = 9 bounded by the plane x=0,y=0,z=0, z=y in the first %3D octant. Evaluate V dS over the curve surface.Q. 29. Calculate harmonic from the following continuous series: Class Interval : 0-10 10-20 20-30 30-40 40-50 Frequency : 10 20 40 15 15.Q3. Define Fourier Series. Find the Fourier sine series of the function f(x) = kx2, 0 < x < k. Sketch f(x) and its periodic extensions. Show the answer in details.Solve the equation for exact solutions over the interval [0, 2n). sin = v2- sin Select one: O a. 27 47 13 3. O b. { } 137 23T 11m 12 12? 12 12 C. 5x 37 77 l 4 2 4 4 22 4 O d. S 2' 7x 11T e. 2 12 Choose an expression for the apparent nth term of the sequence. Assuma that nSEE MORE QUESTIONSRecommended textbooks for youAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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