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Firlakuza [10]
2 years ago
14

Cop n my phoneclean my cell

Mathematics
1 answer:
Oxana [17]2 years ago
6 0
What do you mean, kind sir.

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3 determine the highest real root of f (x) = x3− 6x2 + 11x − 6.1: (a) graphically. (b) using the newton-raphson method (three it
Juliette [100K]

(a) See the first attachment for a graph. This graphing calculator displays roots to 3 decimal places. (The third attachment shows a different graphing calculator and 10 significant digits.)

(b) In the table of the first attachment, the column headed by g(x) gives iterations of Newton's Method. (For Newton's method, it is convenient to let the calculator's derivative function compute the derivative f'(x) of the function f(x). We have defined g(x) = x - f(x)/f'(x).) The result of the 3rd iteration is ...

... x ≈ 3.0473167

(c) The function h(x₁, x₂) computes iterations using the secant method. The results for three iterations of that method are shown below the table in the attachment. The result of the 3rd iteration is ...

... x ≈ 3.2291234

(d) The function h(x, x+0.01) computes the modified secant method as required by the problem statement. The result of the 3rd iteration is ...

... x ≈ 3.0477377

(e) Using <em>Mathematica</em>, the roots are found to be as shown in the second attachment. The highest root is about ...

... x ≈ 3.0466805180

_____

<em>Comment on these methods</em>

Newton's method can have convergence problems if the starting point is not sufficiently close to the root. A graphing calculator that gives a 3-digit approximation (or better) can help avoid this issue. For the calculator used here, the output of "g(x)" is computed even as the input is typed, so one can simply copy the function output to the input to get a 12-significant digit approximation of the root as fast as you can type it.

The "modified" secant method is a variation of the secant method that does not require two values of the function to start with. Instead, it uses a value of x that is "close" to the one given. For our purpose here, we can use the same h(x1, x2) for both methods, with a different x2 for the modified method.

We have defined h(x1, x2) = x1 - f(x1)(f(x1)-f(x2))/(x1 -x2).

6 0
2 years ago
What is the slope of the line that goes through (-5,5) and (5,-7)
ludmilkaskok [199]

Answer:

A. -1/5

Step-by-step explanation:

-7-(-5) /5-(-5)

= -7+5 / 5+5

= -2/10

-1/5 option A

8 0
3 years ago
Read 2 more answers
A B C D<br> WHICH ONE?<br> NEED HELP<br> AHHHHHHHHHH
svlad2 [7]
You were right already it’s A
5 0
3 years ago
A 3” x 5” photo is enlarged so that the length of the new photo is 7 inches. Find the width of the new photo.. a. 4.20 inches. c
Andrej [43]
As far as the old dimensions of the photo are concerned,
Width of the photo = 3"
Length of the photo = 5"
New length of the photo = 7 inches
Let us assume the new width of the photo = x inches
Then
3/5 = x/7
5x = 7 * 3
5x = 21
x = 21/5
   = 4.20 inches
So the correct option among all the options that are given in the question is the first option. I hope that the answer has come to your help.
3 0
3 years ago
6x^3+ 10x^2 – 4x<br> -<br> I need help with this question
Westkost [7]

Answer: 2x(3x−1)(x+2)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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