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polet [3.4K]
3 years ago
5

Use Newton's method with initial approximation x1 = 1 to find x2, the second approximation to the root of the equation x4 − x −

3 = 0. (Round your answer to four decimal places.) x2 =?
Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

x_{2} = 0.0000

Step-by-step explanation:

The formula for the Newton's method is:

x_{i+1} = x_{i} + \frac{f(x_{i})}{f'(x_{i})}

Where f' (x_{i}) is the first derivative of the function evaluated in x_{i}.

x_{i+1} = x_{i} + \frac{x_{i}^{4}-x_{i}-3}{4\cdot x_{i}^{3}-1}

Lastly, the value of x_{2} is determined by replacing x_{1} with its numerical value:

x_{2} = x_{1} + \frac{x_{1}^{4}-x_{1}-3}{4\cdot x_{1}^{3}-1}

x_{2} = 1.0000 + \frac{1.0000^{4}-1.0000-3}{4\cdot (1.0000)^{3}-1}

x_{2} = 0.0000

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Could some one please help me with this
Elden [556K]

Answer:

x=40°

Step-by-step explanation:

Firstly, lets look at some things that we know based on this image:

We have a equilateral triangle(The triangle on the left has 3 tick marked on the sides, so they are equal. It also has 3 of the same angle, so it must be equilateral) and a isosceles triangle (There are two tick marks showing that two of the sides are equal length), the measure of each of the equilateral triangle's angles must be 60° each, the measure of these two triangles together must be 360°, and angle x and the unmarked angle must be the same size as this triangle is isosceles.

To solve this, we can set up an equation to solve for x. To do this, we can add up all of the known angles and set it equal to 360.

(100+60)+60+(60+x)+x=360\\\\160+60+60+2x=360\\\\280+2x=360\\\\2x=80\\\\x=40

4 0
3 years ago
The vertex form of the equation of a parabola is y = 3(x-4)2 +13. What is the
Ilia_Sergeevich [38]
It is d y-1x2-Bc+29 I say that bc it says that in the answer up above
5 0
3 years ago
Matty is always on the playground his favorite coins to collect or nickels and dimes. He has found $6.20, or $72 total nickels a
nadya68 [22]

Answer:

Matty is a bit of a weirdo you know what i mean

Step-by-step explanation:

8 0
3 years ago
What is the distance points for (2,-2) and (0,-9)
Ksivusya [100]

The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

Step-by-step explanation:

The given is,

         Two points are (2,-2) and (0,-9)

Step:1

         By graphical method,

         For two points (2,-2) and  (0,-9)

                  First point (2,-2)

                             The values of x=2 and y=-9 noted in the graph

                  Second point (0,-9)

                              The values of x=0 and y=-9 noted in the graph

                  Now join the two points, measure the distance between the two points,

                   Distance between points are 7.3 units.

                                          ( OR )

Step:1

        By formula method,

              Distance =   \sqrt{(x_{2}- x_{2})  ^{2}+ (y_{2}-y_{1})  ^{2}  }

       Where,

               ( 2,-2) are (x_{1},y_{1})

               (0,-9) are (x_{2},y_{2})

       From the values,

                             = \sqrt{(0- 2)  ^{2}+ (-9+2)  ^{2}  }

                            =  \sqrt{(- 2)  ^{2}+ (-7)  ^{2}  }

                            = \sqrt{4+49  }

                            = \sqrt{53}

                            = 7.280

                            ≅ 7.3

            Distance = 7.3

Result:

           The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

5 0
3 years ago
What are the solutions to the equation |x-3|=14
lilavasa [31]
X-3=14
+3    +3
x=17


x-3=-14
  +3   +3
x=-11
5 0
3 years ago
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