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Rewriting exponential function using Euler

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#trigonometry #exponential-function
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How to solve the definite integral $\int_{-4}^{-2}e^{-x}\,dx$?

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#integration #exponential-function
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The Lie exponential map and commuting elements

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#lie-groups #exponential-function
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The equation $x^y = y^x$.

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#exponential-function
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Lambert W function?

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#exponential-function #lambert-w
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Proving the irrationality of $e^n$

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#number-theory #exponential-function #rationality-testing
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Finding a differential equation when a half life is known

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#ordinary-differential-equations #exponential-function
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Solving $x^k+(x+1)^k+(x+2)^k+\cdots+(x+k-1)^k=(x+k)^k$ for $k\in\mathbb N$

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#number-theory #summation #exponential-function
502
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Solving $Ae^{Bx}+Cx+D=0$

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#problem-solving #exponential-function
128
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Finding the inverse of $y= 100(1-0.9^t)$

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#graphing-functions #exponential-function
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Limit of $\frac{x^y-y^x}{x^x-y^y} $ while $x\to y$

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#calculus #limits #exponential-function
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Exponential function finding upper bound

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#exponential-function
213
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How can I prove the following exponential inequality?

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#inequality #exponential-function
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Find the amount by which the debt increases due to a late payment involving compound interest

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#algebra-precalculus #exponential-function
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What is the simplest $\Bbb{R}\to\Bbb{R}$ function with two peaks and a valley?

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#functions #polynomials #graphing-functions #exponential-function #applications

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