In Problems 5.1 to 5.9, define each function by the formulas given but on the interval
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.arrow_forwardThis question is about: In each of Problems 11 through 16: (a) Sketch the graph of the given function for three periods. (b) Find the Fourier series for the given function. The equation is in the first picture. My question is why the textbook wrote the answer like the second picture show. Why, for the cos part, why you have coefficient 2/(2n-1)^2? Would you please give me a clear explanation? I am bewildered. I was thinking we need to get an and bn then plug into the original equation, then will be fine.arrow_forwardIn each of Problems 11 through 16: (a) Sketch the graph of the given function for three periods. (b) Find the Fourier series for the given function. I really confused about how to draw the graph, please give me a clear explanation. thanks.arrow_forward
- For the following function, you are given one period of the function. = sin tx on the interval - 2arrow_forwardPlease provide the solution and correct answer and box the final answer/s. Express answer (nonterminating or repeating decimal) using 10 digits as seen in your scientific calculator.arrow_forwardFor items 10-11: Given the function whose definition in one period is f(x) = {0, 1arrow_forwardSECTION 142 PROBLEMS In each of Problems 1 through 10, find the Fourier cosine and sine integrał representations of the func- tion. Determine what each integral representation converges to. x? for 0 10 sin(x) for 0 27 1 for 0 4 cosh(x) ) for 0s* 5arrow_forward3. Show that for complex z and w. log 3 = log z log warrow_forwardI need help with this one. After computing the an, how do we get rid of the sin on the final answer? I did not get it. Please show me the work and give me as many details as possible. And how to draw the graph? should we just draw the even extension?arrow_forwardA square wave has an amplitude of 2 and a fundamental frequency of 27 rad/sec. It is centered around t = 0, and it is symmetric around the time axis. a. Find the first 5 non-zero terms in the trigonometric Fourier series. b. Express terms as an exponential Fourier series.arrow_forwardIn each of Problems 11 through 16: (a) Sketch the graph of the given function for three periods. (b) Find the Fourier series for the given function.arrow_forwardarrow_back_iosarrow_forward_iosRecommended textbooks for you
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