Question

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 |

= x^{2} − x

Answer #1

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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
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

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.) -2x^7-4x^4+9x^3+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.)
−2x7 − 5x4 + 9x3 + 2 = 0

Use Newton's method to find all the roots of the equation
correct to eight decimal places. Start by drawing a graph to find
initial approximations.
3 sin(x2) = 2x

Use Newton's method to find an approximate answer to the
question. Round to six decimal places. 2) Where is the first local
maximum of f(x) =3x sin x on the interval (0, Q)
located?

Use
Newton's method to approximate the root of the equation to four
decimal places. Start with x 0 =-1 , and show all work
f(x) = x ^ 5 + 10x + 3
Sketch a picture to illustrate one situation where Newton's
method would fail . Assume the function is non-constant
differentiable , and defined for all real numbers

Find all exact solutions on the interval
0 ≤ x < 2π.
(Enter your answers as a comma-separated list.)
cot(x) + 4 = 5
x=

Part A.
Consider the nonlinear equation
x5-x=15
Attempt to find a root of this equation with Newton's method
(also known as Newton iteration).
Use a starting value of x0=4 and apply Newton's
method once to find x1
Enter your answer in the box below correct to four
decimal places.
Part B.
Using the value for x1 obtained in Part A, apply
Newton's method again to find x2
Note you should not round x1 when computing
x2

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