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2 years ago

If a0 , then a/c___b/c

Mathematics

1 answer:

anygoal [31]2 years ago

6 0

Answer:

Step-by-step explanation:

$a < b$

by dividing both sides by the same number, let's say c, then

$\frac{a}{c} < \frac{b}{c}$

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Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=

luda_lava [24]

Let $f(x) = x^3 - 2x - 2$ . Then differentiating, we get

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

We approximate $f(x)$ at $x_1=2$ with the tangent line,

$f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18$

The $x$ -intercept for this approximation will be our next approximation for the root,

$10x - 18 = 0 \implies x_2 = \dfrac95$

Repeat this process. Approximate $f(x)$ at $x_2 = \frac95$ .

$f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}$

Then

$\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}$

Once more. Approximate $f(x)$ at $x_3$ .

$f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}$

Then

$\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}$

Compare this to the actual root of $f(x)$ , which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.

4 0

2 years ago

Miss Garcia has a strip of paper that is 5 feet long. She cuts it into pieces that are 1/3 foo long 1. How many pieces are there

mixer [17]

Answer:

15 pieces

Step-by-step explanation:

5/ (1/3) = 5*3 = 15

3 0

3 years ago

Read 2 more answers

Type in expanded form. Use parentheses to indicate multiplication.<br><br> (-3x)^4

Mumz [18]

Negative 3x over the power by four

8 0

3 years ago

15. What is the graph of the function rule? <br> y = |3x| - 1

VladimirAG [237]

<h3>Answer:</h3>

<h3>Explanation:</h3>

The graph of |x| opens upward. Your graph is vertically stretched by a factor of 3 and translated downward 1 unit.

Graphs B and D open upward, but only graph D is translated downward (not upward, as in B).

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3 years ago

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Use the distributive property to fill in the blank below.<br><br> 8 x (3+5)=( _ x 3 ) + ( _ x 5 )

olganol [36]

8x3+5=(—x3)+(—x5)
24+40 =(8x3)+(8x5)
64=24+40
64=64

5 0

3 years ago