What is the slope of the line through ( -2.1) and (2, -5)

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

4 0

3 years ago

Could you plz help me on my hw

Korolek [52]

7. p=0.4
i dont know about 3
or 6

5 0

3 years ago

a test battery contains the following three items: distance runs, skinfolds, and trunk extension. what does that test battery me

Katen [24]

A test battery contains the following three items: distance runs, skinfolds, and trunk extension. The test battery measure is health-related physical fitness.

Traditionally, the phrase "battery" turned into used to describe a "series of similar items grouped collectively to perform a feature," as in a battery of artillery. In 1749, Benjamin Franklin first used the term to explain a chain of capacitors he had related together for his strength experiments.

Batteries and comparable devices receive, save, and launch power on call. Batteries use chemistry, in the form of chemical capability, to save electricity, similar to many different normal electricity sources. for example, logs keep electricity in their chemical bonds till burning converts the electricity to heat.

The average alkaline AAA, AA, C, D, 9-volt or button-cellular battery is made of metal and a combination of zinc/manganese/potassium/graphite, with the ultimate balance, made up of paper and plastic. Being non-poisonous substances, all of those battery “substances” are effortlessly recyclable.

Learn more about batteries here brainly.com/question/2732823

#SPJ4

6 0

1 year ago

HELP ASAP WILL MARK BRAINLIEST

DochEvi [55]

Answer:

EF , HG , Parallel

Step-by-step explanation:

Here we are given a translated quadrilateral EFGH from Quadrilateral ABCD.

Also given that AB was parallel to DC.

Now we have to fill in the certain blanks.

Here EF is parallel to AB , As EFGH is a translated image of ABCD. And EF and AB are the corresponding sides.

Also HG is parallel to DC, EFGH is a translated image of ABCD.

Also we are given that AB is parallel to DC. Hence we have following results.

AB║DC

AB║EF

Hence CD║EF

also

CD ║HG

CD║EF

Hence we can come to conclusion that

EF║HG

Hence our answer will be

corresponding segments EF and HG are parallel to each other.

3 0

3 years ago

Examine each set of functions and determine which has the greater rate of change, if either. Explain your reason.

dimaraw [331]

Answer:

The Spotted Cows delivery service has a greater rate of change.

Explanation

The Spotted Cows function is: y = 2.8x + 2

Dairy Farms function is: y = 2.1x + 10

I have graphed these two functions to determine which has a greater rate of change. The red line represents the Spotted Cow service while the blue represents the Dairy Farms service. On the graph you can see that the red line intersects and shifts above the blue line, meaning the rate increases at a higher rate than the blue.

Hope this helps!

6 0

3 years ago