LearningCHelpMeV2

I almost forgot math was a thing. I'm gonna be so rusty when I start uni in October

So I was wondering what the actual intended approach will most likely be

without understanding what is going on in the question

Yeah, for questions like this i just spam inductions

How do I go about showing $b_n \geq 2 \times 5^{n-1}$

Example polynomial: $x(y^2-z^2)-y(x^2-z^2)+z(x^2-y^2)$

is there a course in college that addresses the factorization of symmetric, cyclic, homogeneous polynomials in greater than 2 variables? if so, what course would this be under?

is my proof reasonable or not?

@robjohn What level of calculus is required to differentiate that expression to find critical points

From AM-GM

So far, I've come up with $a+b+c \geq 3(abc)^{\frac{1}{3}}$

Any tips on how to go about this?

nevermind, finally figured it out

Any tips on how to use the first part to solve the last one?

thanks

yeah sorry

oh wow

I did the following

(i). I eventually solved this problem by considering different ranges of values. But I would like to know why my initial approach doesn't work?

@TedShifrin understood, thanks sir.

but i don't see how the yellow area represents the area under the inverse function

this pic right?

If we think of $ab$ as the area of rectangle, then surely this area will always be greater than the sum of the two integrals

I am struggling to accept this inequality. Shouldn't the inequality sign be reversed?

why is combinations and permutations such a hard topic :(

@leslietownes thanks sir

Hi all. where does this inequality arise? is there a name for it or something?

ddos?

So in order to prove that P if and only if Q, then we must show that P implies Q and Q implies P. Could someone clarify what P and Q would represent in this question? Would the P be the first trig equation and the Q the second equation in terms of tan(A)? or would P be the first trig equation and Q the condition given at the end?

Thanks :), i need to reread this a few times, but it makes a bit more sense now

Yup got it

Yup

John

Good morning

But i dont understand it

This was part of the definition I received for a planet

What does it mean for "an object to have a large enough mass for its own gravity to give it a round shape"

hello smart people, could someone explain to me whether upthrust and drag are the same thing? when travelling through a fluid

need help with physics homework