All categories

3 years ago

What are sets and how can they be represented ?

1 answer:

7 0

A set is usually denoted by a capital letter, such as A, B, or C. A set may be described by listing all of its elements enclosed in braces.

For example, if Set A consists of the numbers 2, 4, 6, and 8, we may say: A = {2, 4, 6, 8}.

You might be interested in

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

Who else uses time4learning? am i the only one?

Greeley [361]

Answer:

i think i used it before

Step-by-step explanation:

5 0

3 years ago

Evaluate the variable expression x + y for the given values of x and y . X=43.37 ; Y=18.24

cupoosta [38]

Answer:

61.61

Step-by-step explanation:

In the expression now that we know the value of x and y, we can replace it with its values. So it would look like this.... 43.37 + 18.24. This equals 61.61.

Hope this helps!

4 0

3 years ago

A shirt that normally costs 30 dollers s on sale for 21.75 what percent of the regular price is the sale price

ivanzaharov [21]

72.5%

You can get this by dividing the new price by the original price and then multiplying by 100.

3 0

3 years ago

Use synthetic division to determine f(-2) for the function f(x)=9x^3-18x^2-16x+32

Verizon [17]

Answer: -80

Step-by-step explanation: