"e" (AQA A-Level Mathematics): Quizzes

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"e"
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What is the approximate value of ee?

2.7182818282.718281828

If y=exy = e^{x}, what is dydx\frac{dy}{dx}?

exe^{x}

What function do you use to solve equations involving exe^{x}?

Natural logarithm ln\ln

If y=ekxy = e^{kx}, what is dydx\frac{dy}{dx}?

kekxke^{kx}

What does eln(x2)e^{\ln(x^2)} simplify to?

x2x^2

Why is x=5x = -5 not valid when solving eln(x2)=25e^{\ln(x^2)} = 25?

ln(5)\ln(-5) is undefined

To solve ln(x4)=7\ln(x - 4) = 7, what is the first step?

Exponentiate both sides

What is the relationship between ln(x)\ln(x) and exe^{x}?

ln(x)\ln(x) is the inverse of exe^{x}

Solve e2x+3=5e^{2x + 3} = 5 for xx.

12(ln(5)3)\frac{1}{2}(\ln(5) - 3)

If M=40e0.132tM = 40e^{-0.132t}, what is MM when t=0t = 0?

4040

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