That makes alot of sense.

Any thoughts on the 4th problem. My teacher hasn't been much help and my classmates are as lost as I am.

I figured I could take out the 1/sqrt(2pi) and have the integral e^(-x^2/2), integrate that and do the Taylor series that way, but that didn't work out.

@JC17-OR Unforunately I have to eat dinner now, but here is the lead, the derivative of F is f(x), but you know the taylor series for f(x), just take the taylor series for e^x and plug in (-x^2) where x is

So the taylor series for F is just the antiderivative of the taylor series for e^x * 1/sqrt(2pi) with (-x^2) plugged into x

Thanks for the help!

@JC17-OR You're welcome! Here's the full demonstration in case you want it:
F is the antiderivative of f so first find the taylor series of f:
f(x) = (1/sqrt(2pi)) * e^(-x^2)
taylor series for e^y is:
e^y = 1 + y + y^2/2 + y^3/3! + y^4/4! +...
plug in y=-x^2
e^(-x^2) = 1 - x^2 + x^4/2 - x^6/3! + y^8/4! -+...
so f(x) = (1/sqrt(2pi) * (1 - x^2 + x^4/2 - x^6/3! + y^8/4! -+...)
so F(x) = (1/sqrt(2pi)) \* (x - x^3/3 + x^5/10 - x^7/(7\*3!) + x^9/(9\*4!) -+...)

Does anybody have an idea for the power series from the given Taylor series?

@JC17-OR do you mean the radius of convergence?

because the taylor series *is* the power series

Anyway I forgot to mention the radius of convergence is infinity, because f(x) is a probability density function, so the integral of f(x) for x from -infinity to infinity is 1.

I'm dumb that's what I meant to say. I figured it out, thanks for all your help.

@JC17-OR You're welcome!

does anyone know anything about lognormal and weibull distributions?

<@&387091385075105804> ^^^

Need some help with a math problem @here

I have to solve a linear inequality problem:
A delivery driver makes $52 each day that she works and makes approx. $8 in tips for each delivery. If she wants to make $220 in one day at least how many deliveries does she need to make?

Isn't that just 220 = 52 + 8x

Is the $52 a base pay?

If so @Jacob is correct

Is is not (220 - 52) \ 8 = x

Oh jacob beat me to it. Jacob wrote the more proper expression tbh.

Do you solve for x or just leave it as that expression?

Solve for x

You solve for X but he got you started.

Since you get "approximately 8 dollars per tip' the answer will be "about" (whatever x is ) deliveries

Okay that makes sense.

Thanks. Your goy here can't do maths to save himself

Everyone has strengths and weaknesses. This one's pretty basic though. I used Kahn Academy alot in college when I had a foreign teacher who didn't explain things in an articulate manner.

I'm in a learning support math class since my ACT score wasn't high enough to be eligible for me to enroll in the primary math course required for my major.

So I have to take this class and then college algebra class and then hopefully I'm done

Kahn's really good if you prefer to learn with videos

52(base pay) + 8x(tips per delivery >or= to 220

8x >or= 168

x >or= 168/8 = 21 deliveries

At least 21 deliveries in a day

>she
Nice try Schlomo

@Freiheit - CA ?

Making women deliver stuff...sad

220-52=168
168/8=21
21 deliveries

She must live in Texas where tipped pay is $.38/hr or something

Anyone who has taken a class in Differential Equations, could you confirm if the answer in green makes sense?