I have no idea how to approach this problem | Mathematics | Page 1

versed yoke Apr 13, 2023, 9:14 PM

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remote solsticeBOT Apr 13, 2023, 9:14 PM

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versed yoke

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Wait patiently for a helper to come along.
Once someone helps you, say thank you and close the thread with: ```diff
+close

random minnow Apr 13, 2023, 10:20 PM

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@versed yoke can you find the function that gives you the area?

versed yoke Apr 13, 2023, 10:22 PM

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l times w for the play area

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But how can I relate that to k?

random minnow Apr 13, 2023, 10:29 PM

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@versed yoke good now how do l and w relate to k?

versed yoke Apr 13, 2023, 10:32 PM

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Well k surrounds the entire play area

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Actually I don’t know

random minnow Apr 13, 2023, 10:33 PM

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@versed yoke l+2w=k right?

versed yoke Apr 13, 2023, 10:34 PM

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Yes

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Wait so if the area is k squared

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And the formula for the vertex of a parabola is -b/2a then

random minnow Apr 13, 2023, 10:36 PM

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Yep

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l=k-2w. A=lw=w(k-2w)=kw-2w²

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-b/2a=k/4

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Amax=k²/4-2k²/16 = k²/8. Right?

versed yoke Apr 13, 2023, 10:42 PM

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Yeah your answer matches up with the textbook

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I just need some time to digest this

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Thank you for the help, truly appreciate it

random minnow Apr 13, 2023, 10:43 PM

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Yeah you know that ax²+bx+c attains its maximum/minimum at x=-b/2a

#I have no idea how to approach this problem