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2. (1 point) Determine and sketch or graph the set 2 < 12-1+ i < 4...
(1 point) Evaluate the definite integral. | << + 1)e+2+28-3 dx =
Q1 Given, f(x) = {x 4,0<x< 2 1x + 1, 2<x< 4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval – 12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) () Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks)
01 Given, f(x) = 4,05x<2 x + 1, 2 S x<4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval – 12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) [Total: 20 marks)
Given, f(x) = f(x)= 4,0<x< 2 lx + 1, 2 < x < 4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12.
Given, f(x) = {x #1, 2 5x<4 4,0<x< 2 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Ql(a). (10 marks)
Q1 Given, f(x) = {x +1, 25x<4 4,0<x< 2 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Ql(a). (10 marks) (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) [Total: 20 marks]
Q1 Given, f(x) = {, 4,05x<2 6x + 1, 2 <x< 4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) [Total: 20 marks]
Find all real solutions of the equation (2 – 6)? = 4. 21 = and 12 with i < 22
Q1 Given, f(x) = {x +1, 2 5x<4 4,0 < x < 2 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval – 12 < x < 12. (b) Determine the Fourier cosine coefficients of Ql(a). (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b).
1. Sketch the region in the complex plane that contains the elements of {Z – 3+i:ze C,1<\2-11 <2} n {z EC: Im(2) >0}. Justify your answer.