题目
AMME2000 BMET2960 BMET9960 (ND) Week 4 Pre-work
单项选择题
Open the Fourier Series Demo and select the "Arbitrary" function. Which term in the Fourier series representation is responsible for the vertical offset of the Fourier-approximated curve?
选项
A.The initial 5/12 (constant) term
B.The sine terms
C.The cosine terms
D.The summation
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标准答案
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思路分析
When examining how a Fourier series represents a function, the vertical offset is determined by the constant component of the series.
Option 1: The initial 5/12 (constant) term. This term acts as the baseline value around which the sine and cosine compone......Login to view full explanation登录即可查看完整答案
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类似问题
Suppose 𝑥 ( 𝑡 ) is periodic with a period of 2, and one period is described by 𝑥 ( 𝑡 ) = 𝑒 − 𝑡 for − 1 < 𝑡 ≤ 1 . Which of the following is the correct form of the Fourier series coefficients? Note: The hyperbolic sine function is defined as sinh ( 𝑥 ) = 1 2 ( 𝑒 𝑥 − 𝑒 − 𝑥 ) .
In the Fourier series expansion of the even function f(x), the cosine coefficients 𝑎 𝑛 are equal to zero.
In the Fourier series expansion of the even function f(x), the cosine coefficients are equal to zero.
Open the Initial Condition Demo and select any of the curves defined on the interval [ 0 , 𝐿 ] . Now toggle between 'Even' and 'Odd' to extend this curve as an even or odd function, respectively, on the interval [ − 𝐿 , 𝐿 ] . Which of the following statements is true?
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