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p-please help /sci/
I'm struggling with a few differential equations questions and would greatly appreciate some guidance.
So i'm trying to find equations in terms of Q
dQ/dt=(m-n)Q , m=0.1, n=0.06,
Fairly certain I ended up with the right thing Q=200e^t/25
My actual trouble was with the DE:
dQ/dt=(m-n-kQ)Q , m=0.1, n=0.06, k= positive constant
Any points in the right direction would be greatly appreciate. And yes, I already know this is sub-babby tier.
incredible stupid question
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if you move the point M along the AC line, then the lengths of BM and MA changes, which means that sin, cos, and tan of angle A also changes, even if the angle A is the same all time. I feel like an idiot now for not understanding what's wrong.
Infinite-Sided Barrel Dice
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I figure this should be an easy question for somebody who's taken a statistics class.
Let's say I have two dice, each with an infinite number of sides, with sides ranging in value between 0 and 1, dividing the range into equal pieces of infinitesimal width. If I roll them and add the results, for a given result y=x1+x2, where x1 and x2 are the numbers rolled, what fraction of an uncountably high number of rolls will be higher than the result? For bonus points, how would you go about extending the solution to larger numbers of dice? Love to hear your thought process.
The idea for this question came to me when I was thinking about resistor tolerances. I wondered if, given the specious assumption that each actual resistance within the tolerated range was equally likely, putting multiple lower-resistance resistors of the same percent tolerance in series would on average yield a significantly lower variation from the base value than the equivalent higher-resistance resistor. The same thought process could be applied to other basic circuit components as well (inductors, capacitors in parallel etc.)