Integral Doubt - iTeachChem

iTeachChem Helper

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iTeachChem Helper•4/4/25, 1:15 PM

@Gyro Gearloose

iTeachChem Helper

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iTeachChem Helper•4/4/25, 1:15 PM

Note for OP

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SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:15 PM

Oh no not again.

SirLancelotDuLac

SSirLancelotDuLac No clue. Just depression. 😭

Opt

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Opt•4/4/25, 1:15 PM

This I got I think

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:15 PM

I meant to ping the math guys.

Opt

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Opt•4/4/25, 1:15 PM

(e²+e)/138

Opt

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Opt•4/4/25, 1:15 PM

*128

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:16 PM

Man, how do we even begin this?

Opt

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Opt•4/4/25, 1:16 PM

Get dy/dx as an independent term.

Opt

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Opt•4/4/25, 1:16 PM

Multiply throughout by -siny

Opt

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Opt•4/4/25, 1:16 PM

Take cosy = z

Opt

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Opt•4/4/25, 1:16 PM

First order linear in x and z

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:17 PM

Oh.

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:17 PM

I see.

Opt

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Opt•4/4/25, 1:17 PM

Ye, it hurts on the inside once you know

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:18 PM

Lmao, I'm cooked this time

SirLancelotDuLac

SSirLancelotDuLac Lmao, I'm cooked this time 🥲

Opt

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Opt•4/4/25, 1:18 PM

Considering I didn't get the NLM and work question.....

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:18 PM

Can't even fathom to imagine what they'll do next year...

Opt

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Opt•4/4/25, 1:19 PM

You remember that question about the ellipse and distance between foci?

Opt

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Opt•4/4/25, 1:19 PM

That was amazing

Opt

OOpt Considering I didn't get the NLM and work question.....

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:19 PM

The one today?

Opt

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Opt•4/4/25, 1:19 PM

So simple.

SirLancelotDuLac

SSirLancelotDuLac The one today?

Opt

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Opt•4/4/25, 1:19 PM

Ye

Opt

OOpt That was amazing

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:19 PM

Yeah. A bit lengthy tho.

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:19 PM

The circle and ellipse one I reckon.

SirLancelotDuLac

SSirLancelotDuLac Yeah. A bit lengthy tho.

Opt

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Opt•4/4/25, 1:20 PM

No, it was amazingly simple

Opt

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Opt•4/4/25, 1:20 PM

Foci are dimetric end points, so angle at P is 90° right?

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:20 PM

Yep, I got the concept that the diameter subtends right angle and stuff

SirLancelotDuLac

SSirLancelotDuLac Yep, I got the concept that the diameter subtends right angle and stuff

Opt

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Opt•4/4/25, 1:20 PM

So product of lengths, sum of lengths is given.

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:20 PM

But calculating L.R. and shi was calculative

Opt

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Opt•4/4/25, 1:20 PM

12,5 are PF1, PF2

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:20 PM

I got it tho somehow, yeah...

Opt

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Opt•4/4/25, 1:21 PM

Then it's a right triangle

Opt

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Opt•4/4/25, 1:21 PM

Pythagorean triplet

SirLancelotDuLac

SSirLancelotDuLac But calculating L.R. and shi was calculative

Opt

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Opt•4/4/25, 1:21 PM

LR??

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:21 PM

Oh I was confusing it with some other one sorry.

Opt

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Opt•4/4/25, 1:22 PM

There was a fun GCD question which i assume you did

Opt

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Opt•4/4/25, 1:22 PM

I got that wrong

Opt

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Opt•4/4/25, 1:22 PM

In last minute hurry

Opt

OOpt There was a fun GCD question which i assume you did

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:22 PM

I was panicking so much by that time I began manually counting them and then proceeded to leave it unattempted.

SirLancelotDuLac

SSirLancelotDuLac I was panicking so much by that time I began manually counting them and then pro...

Opt

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Opt•4/4/25, 1:22 PM

Lucky

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:23 PM

Feels mildly frustating now that I think about it tho...

SirLancelotDuLac

SSirLancelotDuLac Feels mildly frustating now that I think about it tho...

Opt

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Opt•4/4/25, 1:23 PM

Yeah, I made a silly a** mistake

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:23 PM

But still I presume you had to do case-working?

SirLancelotDuLac

SSirLancelotDuLac But still I presume you had to do case-working?

Opt

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Opt•4/4/25, 1:23 PM

Combi works no?

Opt

OOpt Combi works no?

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:24 PM

gcd must be 1, so summation of phi(n), n=1 through 16 I thought.

SirLancelotDuLac

SSirLancelotDuLac gcd must be 1, so summation of phi(n), n=1 through 16 I thought.

Opt

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Opt•4/4/25, 1:25 PM

GCD must be 6?

Opt

OOpt GCD must be 6?

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:25 PM

Yep, consider numbers to be 6k, 6m; k and m belong to 2 to 16.

Nimboi [ping if answering]

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Nimboi [ping if answering]•4/4/25, 1:25 PM

i didn't expect lance out of all people to post a math doubt with the caption "no clue, just depression"

SirLancelotDuLac

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SirLancelotDuLacOP•4/4/25, 1:25 PM

And they must be coprime