xbui999 xbui999

01-12-2015
Mathematics

contestada

Let f(x)= x^4 + ax^2 +b. The graph of f has a relative minimum at (0,1) and an inflection point when x=1. The values of a and b are...
I AM EXTREMELY DESPERATE I NEED THIS ANSWER!!!

Respuesta :

Since3122015 Since3122015

01-12-2015

[tex]f(x)=x^4+ax^2+b\\f'(x)=4x^3+2ax\\f''(x)=12x^2+2a\\f''(1)=12(1)^2+2a\\12(1)=-2a\\a=-6\\\\f(x)=x^4-6x^2+b\\(1)=(0)^4-6(0)^2+b\\b=1[/tex]

a=-6
b=1

Answer Link

Otras preguntas

A truck weighs 72,429 pounds. when rounded to the nearest ten thousands the truck's weight will be

9 more than the product of 51 and a number t

A football coach gives half his players a protein bar to eat before each game; the other players do not receive the protein bar. After a month of games, he anal

Pathology in a sentence

10x4 ones=____ ones =_____

On a spring scale that measures force, a reading shows the force of an object to be about half way between 0 N and 1 N. Which of the following would be the most

Write 1.48 repeating as a mixed number

what wattage is a toaster that uses 5 amps from a 120 volt outlet

A square piece of fabric has side length 2.2 cm. Find the area of the piece of fabric.

Which literary technique is evident in these words from Beowulf? fain of his fell spoil, faringA. caesuraB. alliterationC.enjambmentD. synecdoche