4. ) Consider f(x) = x for −1 < x < 1, f(x+2) = f(x). Sketch the graph of the function. t) Find the Fourier series for the function. At the point x = 1, what value does the Fourier series converges to?
Q: 9 Supose S₁₁ h ( x ) d x = S₁ f ( x ) dx = −1. f f (x)dx dx = 5, an = 4. Evaluate the following…
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Q: (4)
A: Solution-
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Q: Solve and show work ols
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Q: Simplify
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Q: Solve show work/steps
A: Step 1: The area can be solved as follows:
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Q: (9)
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A: If you have any problem let me know in the comment section, thankyou.
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A: ANSWER
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A: Step 1: Step 2: Step 3: Step 4:
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.Q1 // Find the Fourier Series for the periodic function shown bellow.
- Q7// Determine the Fourier series for the functionshown.Sketch the function for 3 cycles: s0) = {: if - 45. Consider the following function : x 0 (a) Calculate the Fourier series (both sines and cosines) of f (x) over the interval [-7, 7]. (b) Sketch the periodic extension of the Fourier series.Q3. (a) Write down the function corresponding to the graph given below. Is the function even or odd or neither even nor odd? 3 -3 3 3 (b) Write the Fourier series for the function defined in part (a)Say that the function f(x) is x for -π < x < 0 and zero for 0 < x < π. Find the a0 coefficient for the Fourier Series.(5) Sketch each function and determine its Fourier series. Let f(x)=x, where 1Recommended textbooks for youAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning