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Which of the following functions is even?

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Integral of square of function is equal to integral of odd part squared plus integral of even part squared

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For what values of $k$ is $f(x)=\cos(x-k)$ even, odd or neither

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#algebra-precalculus #trigonometry #even-and-odd-functions
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Question about polynomial sequences and functions

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#calculus #sequences-and-series #even-and-odd-functions
79
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Making $\sin(2k\pi x)$ an odd function about $x=\frac{1}{4}$

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33
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$x^a-x^b$ is odd function, and $1 \leq a,b, \leq 100$

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746
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Why $\cot^{-1}x$ is an odd function in Mathematica

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#algebra-precalculus #trigonometry #even-and-odd-functions
129
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Is it possible to construct an odd function and an even function so that their sum is a constant?

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#parity #even-and-odd-functions
329
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Solutions to Spring 2020 UCLA Analysis Qual Problem 1? Or: an identity implies function is odd

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#real-analysis #even-and-odd-functions
39
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Solution of a differential equation that are $C^2(\mathbb{R} \setminus \{0 \})$, continuous on $\mathbb{R}$ and even

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#ordinary-differential-equations #even-and-odd-functions
327
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If $f$ is even and $f′(0)$ exists, what is $f′(0)$?

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#calculus #derivatives #even-and-odd-functions
75
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Find the solutions of a functional equation

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#algebra-precalculus #functions #functional-equations #even-and-odd-functions
161
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How do I show $y=\ \frac{1}{2}-\frac{1}{2^{x}+1\ }$ is odd?

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#algebra-precalculus #functions #even-and-odd-functions
303
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What does $g(x) = \frac{1}{2} (f(x) + f(-x))$ mean?

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114
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The range of a continuous even function

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#real-analysis #continuity #even-and-odd-functions

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