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babunello [35]
3 years ago
8

Can someone help me so i can do the rest like this on my own/

Mathematics
1 answer:
stepladder [879]3 years ago
5 0
-- XY is a "diameter" of the circle. 

-- A diameter is any straight line inside the circle that goes
through the center and touches the curvy part twice.

-- Every diameter of the same circle has the same length.

-- The distance around every circle is (its diameter) multiplied by (pi).


-- Half of the diameter is called the "radius" of the circle.
A radius is any straight line inside the circle that goes between
the center and the curvy part.

-- The area of every circle is  (its radius, squared) times (pi).

-- 'Pi'  ( π )  is a number.  It's a decimal that keeps going forever
and never ends, so you can never write it exactly with numbers.

-- Pi is roughly 3.14 , and if you use 3.14 whenever you need pi,
then your answers will be about  0.05%  too small. 

That's very close.  When you turn in an answer that's only
0.05% wrong, the teacher knows that you know how to solve
the problem, and that's way more important than the answer.  

For the circle in your picture, the diameter is 17in, the radius
is 8.5in, and the area must be  (pi) (8.5)² square inches.
You can go ahead and work that out.
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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
3 years ago
If the function f(x) = -1/2x - 7 were graphed, which of the following would be true?
Fittoniya [83]
ANSWER

D. As the x-values increase, the y-values would decrease

EXPLANATION

The given function is
y =  -  \frac{1}{2} x - 7


The slope of this function is
m =  -  \frac{1}{2}

Since the slope is negative, there is a negative or an inverse relationship between x and y.

As the values of x increases, the values of y decreases.

Also, as the values of x decreases, the values of y increases.

The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.

For instance, when
x =  - 40
y =  -  \frac{1}{2} ( - 40) - 7


This implies that,

y = 20 - 7 = 13

Options B is obviously not true because the function has a negative relationship between x and y.


Option C is also false because, x can be positive since it is the independent variable.

See graph



Therefore, the correct answer is option D.




5 0
3 years ago
Question 3<br>34° Celsius is equal to<br>o<br>Fahrenheit​
grigory [225]
False, 34° celcius is NOT equal to 0° Fahrenheit. It is 93.2°F
3 0
3 years ago
Read 2 more answers
Can someone help me?
Pani-rosa [81]

Answer: m=−3

Step-by-step explanation: −40−2(3m+1/2)=7m−2

−40+(−2)(3m)+(−2)(1/2)=7m+−2

−40+−6m+−1=7m+−2

(−6m)+(−40+−1)=7m−2

−6m+−41=7m−2

−6m−41−7m=7m−2−7m

−13m−41+41=−2+41

−13m/−13=39/−13

m=−3

What mistake I guess Keith did make is he subtracted 2 from -39 which equaled to -37 which caused him divide -37 by 13 when it should have been 39 divided by 13 because he should have left 39 alone and not have subtracted 2 from it also it should not have been negative basically what I'm trying to say is that he did his division and subtraction wrong.

 

5 0
2 years ago
Read 2 more answers
Can u answer number 10?
KonstantinChe [14]
5.7(0.59)= B
2.8(1.99)= A
8 0
3 years ago
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