Question

Use Newton's method with the specified initial approximation
*x*_{1} to find *x*_{3}, the third
approximation to the root of the given equation.

*x*^{3} + 5* x* − 2 =
0,

Step 1

If

* f*(

then

*f'(x) = _____ x^2 + _____*

*2-* Use Newton's method to find all roots of the
equation correct to six decimal places. (Enter your answers as a
comma-separated list.)

*x*^{4} = 5 + *x*

.

Answer #1

Use Newton's method with the specified initial approximation x1
to find x3, the third approximation to the root of the given
equation. (Round your answer to four decimal places.) 2x^3 − 3x^2 +
2 = 0, x1 = −1

8. (a) Use Newton's method to find all solutions of the equation
correct to six decimal places. (Enter your answers as a
comma-separated list.) sqrt(x + 4) = x^2 − x 2.
(b) Use Newton's method to find the critical numbers of the
function: f(x) = x^6 − x^4 + 4x^3 − 3x, correct to six decimal
places. (Enter your answers as a comma-separated list.) x =

Use Newton's method to approximate a root of
f(x) = 10x2 + 34x -14 if the initial approximation is
xo = 1
x1 =
x2 =
x3 =
x4 =

Use Newton's method to find all solutions of the equation
correct to six decimal places. (Enter your answers as a
comma-separated list.)
x + 4
= x2 − x

Use Newton's method to find all solutions of the equation
correct to eight decimal places. Start by drawing a graph to find
initial approximations. (Enter your answers as a comma-separated
list.) x x2 + 1 = 1 − x

A graphing calculator is recommended.
Use Newton's method to find all solutions of the equation
correct to eight decimal places. Start by drawing a graph to find
initial approximations. (Enter your answers as a comma-separated
list.)
−3x7 − 5x4 + 9x3 + 7 = 0
x =

A graphing calculator is recommended.
Use Newton's method to find all solutions of the equation correct
to eight decimal places. Start by drawing a graph to find initial
approximations. (Enter your answers as a comma-separated list.)
−2x7 − 5x4 + 9x3 + 2 = 0

A graphing calculator is recommended. Use Newton's method to
find all solutions of the equation correct to eight decimal places.
Start by drawing a graph to find initial approximations. (Enter
your answers as a comma-separated list.) -2x^7-4x^4+9x^3+2=0

use
newtons method to find all roots of the equation correct to six
decimal places. Enter your answer as a comma separated list.
7cos x = 7 sqrt x

Apply Newton's Method to f and initial guess
x0
to calculate
x1, x2, and x3.
(Round your answers to seven decimal places.)
f(x) = 1 − 2x sin(x), x0 = 7

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