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anonymous
 5 years ago
what are the local minimum an maximum pints of this equation 1.28x4 + 33.36x3 + 323.41x2 + 1384.63x + 2206.60 ?
anonymous
 5 years ago
what are the local minimum an maximum pints of this equation 1.28x4 + 33.36x3 + 323.41x2 + 1384.63x + 2206.60 ?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hi are you there? if this is a y or f(x) then differentiate it then equaled it to zero and find its roots, that rot will be your max or min point..just plug it into your original equation....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah hehe. kay thanks (:

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the derivative would be like y'=5.12x^3 100.8x^2 646.82X 1384.63,,....NOW FIND ITS ROOTS OR ZEROES

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0TO FIND THE ROOTS HERE I THNK ITS EASIER TO GRAPH IT...OR USE SYNTHETIC DIVISION

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0doing synthetic division now...big numbers ):

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lets try graphing the y'=5.12x^3 100.8x^2 646.82X 1384.63,,...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can you tell what the asymptotic behavior with this equation is?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok this is quartic equation,, so you have ti look for the family of curves of all the quartic equations behaviour....its like a sine wave but not quite as good as sine wave it wil touch the grap at x, 4 times in the graph

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it will have 4 roots, and it will touch the x axis four times

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can i post the graph of the equation?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0did you graph it yet? the derivsative graph?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well it is a parent function picture so i took a picture with the shape of a quartic function and plotted points on the graph

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok get its roots and plug it in the original equation

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0are you familiar with newtons method of approximation?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if you have a calculus book its in there also its in the web

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0newtons method of aprox is good in finding he rots of equations..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh well what do you have to do?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0http://www.ugrad.math.ubc.ca/coursedoc/math100/notes/approx/newton.html

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0y'=5.12x^3 100.8x^2 646.82X 1384.63,,....NOW FIND ITS ROOTS OR ZEROES ..to find its roots use newton method of approx.here you wil find 3 roots,then this 3 roots you will then plug them into your origimal equation to find you max y or min y

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0did you see the graph?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it didnot download in my laptop bec my c is full..here i can help u with newtons method,did you read the website i gave u?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I read the wikipedia one

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0newtons formula is x2=xi[f(x1)/f'(x1)]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how do I get the actual coordinates?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0here your f(x)=5.12x^3100.8x^2646.82x1384.63 now use derivative to find f'(x)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0f'(x)=15.36x^2201.6x646.82 now you can use newtons method formula to find the roots of f(x)=5.12x^3100.8x^2646.82x1384.63

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0newton formula is x2=x1[f(x1)/f ' (x)] start with x1 like 8, 9, 7, hope you are using a good calculator with this calculation

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0using x2=x1 [(5.12x^2100.8x^2646.82x1384.63)/(15.36x^2201.6x646.82)] i got a root of x=25.13527 now you can plug it on you original equation

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x2=x1 [(5.12x^3100.8x^2646.82x1384.63)/(15.36x^2201.6x646.82)] im sorry that was 5.12x^3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0just plug the root x =25.13527 here, f(x)=1.28x4 + 33.36x3 + 323.41x2 + 1384.63x + 2206.60

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and that should get me my minimum/maximum?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0f(25.13527)=1.28x^4 + 33.36x^3 + 323.41x^2 + 1384.63x + 2206.60= 789369.6612 yes this is one of the minimum y..........you will have to find 3 more roots......

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is this your college subject calculus?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0im in high school pre calculus!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i think in this problem they want you to learn how to graph this function, and to learn how to get the roots of the first derivative.....then to find its max or min y you will have to use the root to find the min n the max

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i wish i could look at the graph you want to show me, is it the graph of y=f(x)=1.28x^4 + 33.36x^3 + 323.41x^2 + 1384.63x + 2206.60..or the graph of y'=f '(x)=5.12x^3100.8x^2646.82x1384.63 ..trace it at x=0, then you can find the y axis which is max or min

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes only the first one bec x^4 is quartic therefore it must have 4 roots and 4 max or min y...correction on the first root i check it again on my calculator it is x=25.14043077

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ook i have another question... how do i know which one is the positive/negative/complex roots?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so when you plug this x=25.14043077 to the orig eq f(25.043077)= 1282838.114

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ypu notice that this is neg 1.million which is hard to graph,,therefore you will need to use the newton method formula..thats the conclusion here,,,you will be using the newton formula again and guess again for the roots

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh well thanks soo much for your help i really appreciate it!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hope you will follow the procedure again and again to find the other 3 roots....good luck ....is this in college subject? or ap calculus in high school?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0umm i go to an option school, and we dont really have ap classes, but there is advanced math...thats what i take

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh ok....whews this is really for college problem hehehe thats really advance calculus

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ook i have another question... how do i know which one is the positive/negative/complex roots? if you remember the quadratic formula x= [b+sqrt(b^24ac)/2a]...the equation is y=ax^2+bx+c

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0positive complex root is like x=(2+sqrt4)/2 = (2+2i)/2= 1+i did you noticed the plus or positive sign? that a positive complex root..for conjugate or neg complex root its x=1i
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