How do I find the lower bound for question a | Mathematics | Page 1

chrome sail Jan 9, 2025, 2:34 PM

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viscid gulchBOT Jan 9, 2025, 2:34 PM

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sleek aurora Jan 9, 2025, 2:48 PM

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For any integral $\int_{a}^{b} f(x) dx$, we have a lower bound of $(b-a) \cdot \min_{x \in [a,b]} f(x)$

sweet trailBOT Jan 9, 2025, 2:48 PM

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Cris

sleek aurora Jan 9, 2025, 2:49 PM

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So that's one lower bound you can use if you have the form of the integral

steady fern Jan 9, 2025, 2:51 PM

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$y=e$ and $y=x^2 e^{x^2}$ meet when $e = x^2 e^{x^2}$...

what value(s) of $x$ satisfy this equation?

sweet trailBOT Jan 9, 2025, 2:52 PM

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Jay

sleek aurora Jan 9, 2025, 2:59 PM

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Typically, this sort of equation is hard to solve for x but this example has easy values

sleek aurora Jan 9, 2025, 3:00 PM

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You can guess the values where this true

steady fern Jan 9, 2025, 3:04 PM

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I am aware - I was trying to help the OP. 🙂

sleek aurora Jan 9, 2025, 3:15 PM

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Sorry, I thought you were OP

steady fern Jan 9, 2025, 3:17 PM

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np 🙂

#How do I find the lower bound for question a