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2 years ago

WILL GIVE 100 POINTS AFTER YOU ANSWER

Mathematics

2 answers:

lukranit [14]2 years ago

6 0

The answer is 16 hopes this helps you pass

irina1246 [14]2 years ago

4 0

Mean of a data = Sum of all observations ÷ Total number of observations

Mean of this data will be :

Sum of all observarions = 17 + 13 + 18 + 20 + 17 + 15 + 12 = 112

Total number of observations = 7

Mean = 112 ÷ 7

Mean = 16

Therefore the mean of this data set = 16 

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Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +

ss7ja [257]

Solution :

Given

$f(x)=x^3-x-1, x_1=1$

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

Let the initial approximation is $x_1 =1$

So by Newton's method, we get

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$

$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$

$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$

$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$

$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$

$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$

$x_5 \approx x_6$ are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

∴ x = 1.32471795

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lakkis [162]

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The opposite angles of a parallelogram are also equal.

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two angles that each measure 60°
two angles that each measure 120°
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Consider the quadrilateral ABCD below.

The quadrilateral ABCD is Parallelogram.

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2 years ago

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