Question

A function is given by:
Y=(x+3x^2+3x^3+10x^4)/(1+4x+x^2+4x^3+10x^4 ),x≥0
Explain and argue for that Y/x assume a global maximum for x>0 (have done that). And determine the maximum with 3 decimals (just setting a calculator to get a lot of digits or zoom very close to the graph is not acceptable).

Answer 1

I was thinking about determine the decimals by using the Newton/Raphson-method

Answer 2

did you try to graph this one? so that you can see the MAX
so you said the Max is Y/X ?

Answer 3

Y/x=(1+3x+3x^2+10x^3)/(1+4x+x^2+4x^3+10x^4 )

Answer 4

there are local min and local max

Answer 5

Yea beside we may not plot the function

Answer 6

to find local max n min find the derivative and equate it to zero to find the x

Answer 7

http://www.wolframalpha.com/input/?i=derivative+Y%3D%281%2B3x%2B3x^2%2B10x^3%29%2F%281%2B4x%2Bx^2%2B4x^3%2B10x^4+%29

Answer 8

I add another comment that also is stated in the problem: "You must explain your decimals reliability"

Answer 9

set dy/dx= (-100x^6-60x^5-92x^4+16x^3+27x^2+4x-1)/(10x^4+4x^3+x2+4x+1)^2=0
x=0.131
x=0.512

Answer 10

try also the Newton/Raphson-method and compare

Answer 11

I know that you very esay can find the values but just useing a caculator which i have done, but the whole idea is that we are going to estamate a aproximated number without useing electronic help

Answer 12

by using*

Answer 13

do ypu have a graphing calculator? can you use that?

Answer 14

No, we not use a graph either.

Answer 15

(just setting a calculator to get a lot of digits or zoom very close to the graph is not acceptable).--->>> isnt this means that graphic calcu is ok
that you cant zoom it only....

Answer 16

well if you cant use a grapher try the Newton/Raphson-method

Answer 17

And that is what i can't not very good useing it.

Answer 18

what the grapher can do for us is to help us find the answer and compare what you have done on your solutions..lol,,....well good luck now