Question

NEWTON METHOD FIND SIX DECIMALS : SINX+X-1=0 WHERE X1=0

Answer 1

First find the derivative

Answer 2

Also the equation for newton's method is as follows...

Answer 3

\[x _{n+1}=x_n-\frac{ f(x_n) }{ f'(x_n) }\]

Answer 4

YEAH I KNOW THE DERIVATE IS COSX+1

Answer 5

BUT WHATS NEXT PLUG 0 IN THE EQUATION?

Answer 6

No, approximately, what x-value allows f(x) to equal 0?

Answer 7

WELL X1=0

Answer 8

LETTING THIS BE SO PLUG IT IN THE EQ?

Answer 9

Ok, yes you can plug in zero and it will yield the same result.

Answer 10

I HAVE FOR X1= -1/2

Answer 11

should be positive 1/2

Answer 12

Be careful when plugging problems like these into your calculator...

Answer 13

I STILL GET NEGATIVE EXAMPLE 0-SIN0+0-1 DIVIDED BY COS0+1

Answer 14

My mistake, you are correct.

Answer 15

Now plug in -1/2 in place of xbase 1 and do so until you find a repeating answer....

Answer 16

Keep replacing xbase1 with the most recent y-value

Answer 17

Sorry for not being better help

Answer 18

SO FOR THE NEXT X2= I PLUG -1/2

Answer 19

yes, and the value given by x2 is x3

Answer 20

repeat the calculation until you are given a repeating y-value...it helps to use the table feature on a graphing calculator if you have one.