AP Calculus:
Use Newton's Method to approximate the real zero of this function between (1,2):
f(x) = x^4 +2sinx-3

Question

AP Calculus:
Use Newton's Method to approximate the real zero of this function between (1,2):
f(x) = x^4 +2sinx-3

shubhamsrg · Answer

start with pi/3 i'd say..

experimentx · Answer

just choose any value of x_0 as root, then use recursively this formula http://en.wikipedia.org/wiki/Newton's_method http://upload.wikimedia.org/math/a/f/2/af2d6f780d8673d64e8cc328ae52631d.png

anonymous · Answer

yea h i know newton's method

anonymous · Answer

we were given a program on our calculators for newtons method a couple years ago in calc I, needless to say i didn't learn anything about it. sorry.

anonymous · Answer

i still have the program, i just don't remember how to use it haha

anonymous · Answer

Newton's method is
x1-f(x1)/f'(x1)

experimentx · Answer

just choose any point between (1,2)
say $ x_0 = 1.5 $
then 
|dw:1355215419084:dw|
repeat this process couple of times, around 5-6 times. you would get x_5 or x_6. that's your zero.

the more you repeat the more accurate you get.