3 years ago

The table shows values for functions f(x)and g(x)

Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

6 0

Answer:

x= -1 and x =0

Step-by-step explanation:

all work is shown and pictured

Vladimir79 [104]3 years ago

3 0

Answer:

x=-1

x=0

Step-by-step explanation:

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Answer:

324πcm³

Step-by-step explanation:

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3 years ago

Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +

rjkz [21]

Answer:

The value of $x_2=-1.6923$ .

Step-by-step explanation:

Consider the provided information.

The provided formula is $f(x)=x^3+x+6$

Substitute $x_1=-2$ in above equation.

$f(x_1)=(-2)^3+(-2)+6$

$f(x_1)=-8-2+6$

$f(x_1)=-4$

Differentiate the provided function and calculate the value of $f'(x_1)$

$f'(x)=3x^2+1$

$f'(x)=3(-2)^2+1$

$f'(x)=13$

The Newton iteration formula: $x_2=x_1-\frac{f(x_1)}{f'(x_1)}$

Substitute the respective values in the above formula.

$x_2=-2-\frac{(-4)}{13}$

$x_2=-2+0.3077$

$x_2=-1.6923$

Hence, the value of $x_2=-1.6923$ .

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3 years ago

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Answer:

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Step-by-step explanation:

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