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Alborosie
3 years ago
8

Eeeeeeeeeeeeeeeeeeeeee

Mathematics
1 answer:
blsea [12.9K]3 years ago
7 0

Answer:

eeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

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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 solution set of the following equation? 6x^2 = 13x + 5
fiasKO [112]

Answer:

2nd

Step-by-step explanation:

using the quadric formula

- ( - 13) +  -  \sqrt{( - 3) {}^{2} - 4 \times 6( - 5) }   \div 2 \times 6

do the math and you get the second one.

{-1/3,5/2}

6 0
3 years ago
Simplify the given expression. (18+ - 8)2​
JulsSmile [24]

Answer:

20

Step-by-step explanation:

Our expression:

2 * (18 + - 8)

Plus then minus (+ -) is the same as just minus ( - )

Some examples:

1 + (+ 1) = 2

1 + (- 1) = 0

1 - (+ 1) = 0

1 - (- 1) = 2

Thus, 18 + - 8 is the same as 18 - 8

2 * (18 + - 8) =

= 2 * (18 - 8) =

= 2* (10) =

= 2 * 10 =

= 20

Answer: 20

6 0
3 years ago
Y=4x+1<br> Y=-2x-5, help we solve these problems
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3 years ago
Can anyone help me out ?
svlad2 [7]

Answer:

what is your question.. if any problems then I will try to solve if I know.

4 0
3 years ago
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