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when i say 30 i mean 40

yea but it needs to be smooth

so polynomial

what does that mean? a linear function is a polynomial too.
what exactly do you mean by smooth?

mena no rough edges and its curve

like continuous function

ahhh, better.

is there function that looks like the black line i drew

so you need a polynomial function that makes a smooth transition and is also the shortest

so it has curve to smothly attach to another track but at the smae shorter length

yes

but at the same time *

what's the context of this question? it's really specific

i have done the question let me send the link

but what i am trying to figure out is the shorter length than this

sorry, my OS stopped working.

so on xy plane i want a function that give me length <27.37

|dw:1443516744812:dw|

ok

yess

You know how to calculate arc length using integrals right?

yea but i use wolfram alpha normaly u mind using it sending the link plz

Because you really are looking to minimise arc-length given the above constraints.

ok wait do i do the same steps as i did for my previous function find a,b,c,d

and then put them in an expression and use arc length to get length

I think Wolfram is gonna have some good fun with this one.

heheh

Here, you have a, b, c, d and e.

yea kinda forgot about e

thank you so much for ur help

I'm curious to see how you'll input so much into Wolfram. It's scary.

what if i find an expression then too

sorry, the last equation is\[4a(10^3) + 3b(10^2 ) + 2c(10) + d = \color{red}1\]

ok

wow the expression is way too long... you'll have to be subscribe to pro

i have subscribe pro

wow, cool.

Three variables, two equations. Now we can minimise the function with one-variable very easily.

ok. thanks :)

ah..makes sense. thanks a lot!!

hey its not making sense

thanks for the question - I really had to think about it to come up with an answer.

5 variables how do i get values for 5 unknown variable

plug it into WolframAlpha

i only have 4 equation

i found a ,b, c ,d but not e

were you able to find a, b, c, d in terms of e?

\[0.0001852x ^{4}-0.01246x ^{3}+0.2076x ^{2}-0.01555x+e\]

http://math.bd.psu.edu/~jpp4/finitemath/4x4solver.html

wait what? you were able to uniquely determine a, b, c, d?!

from here

it's not a 4x4 equation so

yea i thought so help plz

plug the stuff into Wolfram and it should give you all other variables in terms of one variable

@ayeshaafzal221
where did you find this question?

it didnt

its my practise question for exams

what did it return?

you don't have a Wolfram pro subscription do you?

on my ipad yes

even on my ipad not working

there's this data entry or something feature which you can use

ok

or u know the values i have found cant i just sub it into any equation and get the e value

no, you can't do that. it's not a 4x4 equation so you most likely input the wrong equations.

yea true i am gonna go old fashion , and do em manually

Obviously. Yes.

alright..thanks