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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.
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).
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)
Given the following piecewise function, evaluate f(2). 2.1 <-3 f(x) = { -3x +1 -3 <<< 2 22 - 2 2 << Do not include "f(2)="in your answer.
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]
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)
Q1 Given, f(x) = {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. (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)
Find the domain and the range of the function. 4 f(x)=1-7x+ 5, for x < 7. for x 27 What is the domain of the given function? (Type your answer in interval notation.) What is the range of the graph of a function? (Type your answer in interval notation.) Enter your answer in each of the answer boxes
x-1 if <-2 7. Let f(x) = { 22+1 if – 2<x<4 l if x > 4 (a) Sketch a graph of y = f(x). Remember to label axes and and important points. (b) Determine any values of x for which is discontinuous.