Question

Use the secant method to estimate the root of

f(x) = -56x + (612/11)*10^{-4} x^{2} -
(86/45)*10^{-7}x^{3} + (3113861/55)

Start x_{-1}= 500 and x_{0}=900.

Perform iterations until the approximate relative error falls below
1% (Do not use any interfaces such as excel etc.)

Answer #1

Let
f(x)=sin(x)+x^3-2. Use the secant method to find a root of f(x)
using initial guesses x0=1 and x1=4. Continue until two consecutive
x values agree in the first 2 decimal places.

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 =

: Consider f(x) = 3 sin(x2) − x.
1. Use Newton’s Method and initial value x0 = −2 to approximate
a negative root of f(x) up to 4 decimal places.
2. Consider the region bounded by f(x) and the x-axis over the
the interval [r, 0] where r is the answer in the previous part.
Find the volume of the solid obtain by rotating the region about
the y-axis. Round to 4 decimal places.

Use Newton's method to estimate the two zeros of the function
f(x)=x^4−x−12. Start with x0=−1 for the left-hand zero and with
x0=1 for the zero on the right. Then, in each case, find x2 .
for the zero on the right. Then, in each case, find
x 2x2.

Newton's method: For a function ?(?)=ln?+?2−3f(x)=lnx+x2−3
a. Find the root of function ?(?)f(x) starting with
?0=1.0x0=1.0.
b. Compute the ratio |??−?|/|??−1−?|2|xn−r|/|xn−1−r|2, for
iterations 2, 3, 4 given ?=1.592142937058094r=1.592142937058094.
Show that this ratio's value approaches
|?″(?)/2?′(?)||f″(x)/2f′(x)| (i.e., the iteration converges
quadratically). In error computation, keep as many digits as you
can.

Use
the root-solving method to obtain the root of x^4-10x^3-50x+24=0
within the error range of 10^-4. (Put in the initial x^(0)=3.5 /
Please make the significant figure 10^-5.)

Perform two iterations of the gradient search method on f(x,y)=
x2+4xy+2y2+2x+2y. Use (0,0) as a starting
point. You must do this by hand. Please find the optimal λ* by
taking the derivative and setting it equal to 0.

f(x)=10-x^3-3cosx=0 use newton iteration to estimate the
root,

Delta airlines case study
Global strategy. Describe the current global
strategy and provide evidence about how the firms resources
incompetencies support the given pressures regarding costs and
local responsiveness. Describe entry modes have they usually used,
and whether they are appropriate for the given strategy. Any key
issues in their global strategy?
casestudy:
Atlanta, June 17, 2014. Sea of Delta employees and their
families swarmed between food trucks, amusement park booths, and
entertainment venues that were scattered throughout what would...

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