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3 years ago

AVALIAÇÃO DIAGNÓSTICA

Mathematics

1 answer:

lukranit [14]3 years ago

3 0

Answer:

hhhsyeuru isuegrjro ehgeurov didyrhy

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Calculate two iterations of Newton's Method for the function using the given initial guess. (Round your answers to four decimal

pickupchik [31]

Answer:

The first and second iteration of Newton's Method are 3 and $\frac{11}{6}$ .

Step-by-step explanation:

The Newton's Method is a multi-step numerical method for continuous diffentiable function of the form $f(x) = 0$ based on the following formula:

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

Where:

$x_{i}$ - i-th Approximation, dimensionless.

$x_{i+1}$ - (i+1)-th Approximation, dimensionless.

$f(x_{i})$ - Function evaluated at i-th Approximation, dimensionless.

$f'(x_{i})$ - First derivative evaluated at (i+1)-th Approximation, dimensionless.

Let be $f(x) = x^{2}-8$ and $f'(x) = 2\cdot x$ , the resultant expression is:

$x_{i+1} = x_{i} -\frac{x_{i}^{2}-8}{2\cdot x_{i}}$

First iteration: ( $x_{1} = 2$ )

$x_{2} = 2-\frac{2^{2}-8}{2\cdot (2)}$

$x_{2} = 2 + \frac{4}{4}$

$x_{2} = 3$

Second iteration: ( $x_{2} = 3$ )

$x_{3} = 3-\frac{3^{2}-8}{2\cdot (3)}$

$x_{3} = 2 - \frac{1}{6}$

$x_{3} = \frac{11}{6}$

7 0

4 years ago

What expressions are equivalent to 5x + (x+6) + 3x

anyanavicka [17]

Answer:

9x + 6

Step-by-step explanation:

<u>Step 1: Distribute</u>

5x + (x + 6) + 3x

5x + x + 6 + 3x

<u>Step 2: Combine like terms</u>

5x + x + 6 + 3x

9x + 6

Answer: 9x + 6

8 0

3 years ago

Round 30713.517126 to the nearest hundred

slava [35]

Answer:

30700

Step-by-step explanation:

If the number after is under 5, it is rounded up. If lower than five, the number stays the same.

6 0

3 years ago

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If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week,

maria [59]

Gross income= $813.61
Step-by-step explanation:
Giving the following information:
Sales= $32,874
Fixed salary= $452
Commission= 1.1% paid on sales in excess of $25,000.
To calculate the gross income, we need to use the following formula:
Gross income= 452 + y*x
y= percentage comission
x= sales
For $32,874 sales:
Gross income= 452 + 0.011*32,874
Gross income= $813.61

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3 years ago

there are 2rows of 8 chairs set up in the library for a puppet show. how many chairs are set up? use the distributive property t

ikadub [295]

Since there are 2 rows with 8 in each row the answer is 16 chairs

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3 years ago

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