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3 years ago

Using Newton-Raphsf (x) = 2x3 + x2 - x + 1 accurate to within 10-4

Mathematics

2 answers:

Effectus [21]3 years ago

7 0

9514 1404 393

Answer:

-1.2338

Step-by-step explanation:

The graph shows the one real root is about -1.234. The Newton's method iterator is ...

new x = x - f(x)/f'(x) . . . . . where f'(x) is the derivative of f(x)

Many graphing calculators provide a derivative function, so the iteration equation can be evaluated more or less directly by the calculator. In the attached, we have shown a table with three iterations of the root. After the second iteration, the root is good to 4 decimal places.

x ≈ -1.2338

Sergio [31]3 years ago

4 0

Answer:

2x3+x2−x+1x

Step-by-step explanation:

Let's solve for f.

fx=2x3+x2−x+1

Step 1: Divide both sides by x.

fx=2x3+x2−x+1x

fx=2x3+x2−x1x

Answer:

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20. Which of the following trigonometric identities is not correct?

ololo11 [35]

Answer:

Check below for the answers

Step-by-step explanation:

Note: The options are not clearly expressed but below are the correct expressions for the trigonometric identities stated in the options.

Using the SOHCAHTOA principle

sin θ = Opposite / Hypotenuse

tan θ = opposite / Adjacent

Cot θ = 1 / tan θ = Adjacent / Opposite

cos θ = Adjacent / Hypotenuse

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3 years ago

What city in region 2 is located near 60 degrees N latitude and 10 degrees longitude

lorasvet [3.4K]

You should specify whether it's 10 degrees east or west, but since 60N 10W is in the ocean, it must be 60N 10E, which is near Oslo, Norway. You can easily input longitudes and latitudes into Google Maps if you ever need help with that.

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3 years ago

Perform the following calculations. In each case, first estimate the solution without using a calculator and then do the calcula

kakasveta [241]

Answer:

For a: The answer is $2.3\times 10^1$

For b: The answer is $8.0\times 10^{-6}$

For c: The answer is 127.6

For d: The answer is $4.66\times 10^4$

Step-by-step explanation:

Significant figures are defined as the figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

Rules for significant figures:

Digits from 1 to 9 are always significant and have infinite number of significant figures.
All non-zero numbers are always significant. For example: 654, 6.54 and 65.4 all have three significant figures.
All zero’s between integers are always significant. For example: 5005, 5.005 and 50.05 all have four significant figures.
All zero’s preceding the first integers are never significant. For example: 0.0078 has two significant figures.
All zero’s after the decimal point are always significant. For example: 4.500, 45.00 and 450.0 all have four significant figures.
All zeroes used solely for spacing the decimal point are not significant. For example : 8000 has one significant figure.

Rule applied for the addition and subtraction is:

The least precise number present after the decimal point determines the number of significant figures in the answer.

Rule applied for the multiplication and division is:

The number of significant digits is taken from the value which has least precise significant digits.

For the given options:

Option a: (2.7)(8.632)

The given problem is a multiplication one.

$\Rightarrow (2.7\times 8.632)=23.3$

Here, the least precise significant digits are 2. So, the answer is $2.3\times 10^1$

Option b: (3.600 x 10^-4) / 45

The given problem is a division one.

$\Rightarrow \frac{(3.600\times 10^{-4})}{45}=0.08\times 10^{-4}$

Here, the least precise significant digits are 2. So, the answer is $8.0\times 10^{-6}$

Option c: 2.365 + 125.2

The given problem is an addition one.

$\Rightarrow (2.365+125.2)=127.565$

Here, the least precise significant digits after decimal is 1. So, the answer is 127.6

Option d: (4.753 x 10^4) - (9 x 10^2)

The given problem is a subtraction one.

$\Rightarrow (4.753\times 10^4)-(9\times 10^2)=(4.753\times 10^4)-(0.09\times 10^4)=4.663\times 10^4$

Here, the least precise significant digits after decimal are 2. So, the answer is $4.66\times 10^4$

3 0

4 years ago

If you invest x dollars at 3% intrest compounded annually ,then the amount A (x) of the investment after one year is A(x)=1.03x.

GarryVolchara [31]

The "compound amount" formula is A = P(1+r)^t.

Here, the Amount A(x) is (x)(1+0.03)^1= 1.03x.

Please be clearer about what you are asking here. I assume you just wanted to be told that you are right.

5 0

4 years ago

Which ordered pair makes the equation false?

Galina-37 [17]

Answer:

Hi! The correct answer is J and G!

Step-by-step explanation:

~I graphed it and it gave me 2 points that we're on this list that were apart of the equation so what wasn't in the equation i wrote here~

7 0

3 years ago

Read 2 more answers

Using Newton-Raphsf (x) = 2x3 + x2 - x + 1 accurate to within 10-4​

Using Newton-Raphsf (x) = 2x3 + x2 - x + 1 accurate to within 10-4