Given three data points: (x0, f(x0)), (x1, f(x1)), and (x2, f(x2)), prove the expression for the coefficient b2 in the quadratic interpolation is:________
Answers
Answer:
attached below is the prove
Step-by-step explanation:
In order to prove the expression for coefficient b[tex]_{2}[/tex] we have to find b[tex]_{0}[/tex] and b[tex]_{1}[/tex]
F(x) = [tex]b_{0} + b_{1} ( x - x_{0} ) + b_{2} ( x - x_{0} ) (x - x_{1} )[/tex]
i) Determine b[tex]_{0}[/tex]
at x = x[tex]_{0}[/tex]
b[tex]_{0}[/tex] = f(x[tex]_{0}[/tex] )
ii) Determine b[tex]_{1}[/tex]
at x = [tex]x_{1}[/tex]
f ([tex]x_{1}[/tex]) = f ([tex]x_{0}[/tex] ) + b[tex]_{1}[/tex] [tex](x_{1} - x_{0} )[/tex] + 0
[tex]b_{1} = \frac{f(x_{1} )-f(x_{0} )}{(x_{1}-x_{0} ) }[/tex]
prove of the expression for the coefficient B2 in the quadratic interpolation
attached below is the detailed prove
Related Questions
How many solutions does this equation have?
–4j = –8j + 4j
Answers
Answer:
Your Mom just remember your a di*k and thats why your parents burned your birth certifcate
Step-by-step explanation:
if your gonna do that to me, remember i have copy and paste<3.
The length of a rectangle is 7 cm more than its width. If the diagonal of
the rectangle is 35 cm, find the dimensions of the rectangle.
What is the width an length ?
Answers
Answer:
Length = 12, width = 5
Step-by-step explanation:
The diagonal is the hypotenuse of a rectangular triangle.
Equation: d^2 = l^2 + w^2
35^2 = (x + 7)^2 + x^2
169 = (x + 7)(x + 7) + x^2
169 = x^2 + 7x + 7x + 49 + x^2
169 = 2x^2 + 14x + 49
subtract 169 from both sides
0 = 2x^2 + 14x - 120
divide by 2
0 = x^2 + 7x - 60
factor, to find the numbers just think of what number multiplied by what number would equal -60 and have the same numbers added together equals 7. 12 times 5 is 60 but it has to be -60, and 12 - 5 equals 7 so the numbers would be 12 and -5
0 = (x + 12)(x -5)
x = -12, and x = 5, but u can only use positive solutions so length equals 12 and width is 5
Why would a Roth 401(k) investment plan allow you to invest the most amount of money? a. The federal government subsidizes a portion of a Roth 401(k) to help people in lower tax brackets save for retirement. b. Roth 401(k) plans are reserved for administrators and executives, who have a higher income which would allow them to invest more. c. A Roth 401(k) plan takes money after tax has been removed from gross income, and has a contribution limit, but withdrawal is tax free. d. The contribution limit of a Roth 401(k) plan is more than double the limit of the traditional 401(k). Please select the best answer from the choices provided A B C D
Answers
Answer:
c
Step-by-step explanation:
A Roth 401(k) plan takes money after tax has been removed from gross income, and has a contribution limit, but withdrawal is tax free.
Answer:
its c
Step-by-step explanation:
If there is a very weak correlation between two variables, then the coefficient of determination must be:__________.
Answers
Answer:
zero
Step-by-step explanation:
The coefficient of determination (R², or the square of the linear correlation coefficient r) is an indicator that allows us to judge a simple linear regression quality. It measures the fit between the model and the observed data or how well the regression equation is suited to describe the distribution of points.
A strong correlation between two variables is usually greater than 0.8. A weak correlation between two variables is usually less than 0.5, but a very weak correlation between two variables will be near zero.
How many terms does this polynomial have? 5a-2b+5
Answers
Answer:
3 terms
Step-by-step explanation:
Zelda makes herbal teas to Her most popular blend is a combination of 2 kinds of mint, 80\% spearmint and 20\% peppermint, by weightShe buys the mint from a wholesale company. The prices she pays for each are shown in the table.
Answers
Answer: Mint or mentha belongs to the Lamiaceae family, which contains around 15 to 20 plant species, including peppermint and spearmint. It is a popular herb that people can use fresh or dried in many dishes and infusions. Manufacturers of toothpaste, gum, candy, and beauty products often use mint oil, or something like that.
20 pts, try to find short story and novel pages, A novel has 13 times as many pages as a short story. The combined number of pages in the books is 448 pages. How many pages are in each book?
Short Story:
Novel:
Answers
Answer:
short story has 32 pgs
novel has 416 pgs
Step-by-step explanation:
a novel (N) has 13 times as many pages as a short story (x) so, N = 13X
total pages is the equation N + x = 448
plug the equation for N into this
13x + x = 448, combine like terms
14x = 448, divide both sides by 14
x = 32. so now we know that the short story has 32 pages. subtract that from 448. and the novel has 416 pages.
There are 32 pages in the short story and 416 pages in the novel.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
Let x be the number of pages in the short story.
We know that the novel has 13 times as many pages as the short story, so the number of pages in the novel is 13x.
The combined number of pages in the books is the sum of the number of pages in the short story and the number of pages in the novel, which is x + 13x = 14x = 448 pages.
So the number of pages in the short story is x = 32 pages.
And the number of pages in the novel is 13x = 13 × 32 = 416 pages.
To learn more about numerical expression click here :
https://brainly.com/question/6037813
#SPJ2
Please Help! Will give branliest!!!
Answers
Answer:
30 plants
Step-by-step explanation:
y = 6h
h = 5
y = 6 × 5 = 30 plants
Answer:
30 plants.
Step-by-step explanation:
p=6x
substitute x with 5
30=6(5)
30 plants in 5 hours.
11 = 3z + 5
What is this answer?
Answers
Answer:
subtract 5 from each side z=2
Step-by-step explanation:
An office worker can type at the rate of 57 words per minute.
Which equation could be used to solve for the number of words he can type in 6 minutes?
Answers
The answer in fraction form is 57/1 = x/6
Because the time is the denominator and the WPM is the numerator
1 3/8 minus 8/9 in simplest form
Answers
Answer: It is 35/72
Step-by-step explanation:
1 3/8=11/8
11/8-8/9
11/8=99/72
8/9=64/72
99/72-64/72= 35/72
Helppppppppppppppppppppp
Answers
Answer:
It would be answer choice D
A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below. Customer Spending by Promotion Run Customers Spending More than $30 Customers Spending $30 or Less $10 off $50 15% off $5 off $25 Buy-1-Get-1 Half Off Which statement best describes how the manager can check if there is an association between the two variables? The manager must check relative frequencies by row because there are more than two different promotions. The manager must check relative frequencies by column because there are more than two different promotions. The manager cannot use relative frequencies to look for an association because there are more than two different promotions. The manager should check both relative frequencies by row and by column to look for an association.
Answers
Answer:
the answer is D
Step-by-step explanation:
TOOK THE TEST
Answer:
Answer is D
Step-by-step explanation:
Just took the edge test 2020
Hope this helps! :)
A worker in an assembly line takes 5 hours to produce 24 parts. At that rate, how many parts can she produce in 25 hours?
Answers
Answer: 120
Step-by-step explanation: To get how many parts is produced every hours you divide 24 and 5 which gets you 4.8. And to get how many is produced in 25 hours you do 25 x 4.8.
The number of parts that can be produced in 25 hours is 120 parts.
First find out the number of parts that can be produced in an hour:
= Number of parts/ Number of hours
= 24 / 5
= 4.8 parts per hour
Now that you have the parts produced per hour, you can find out how much can be produced in 25 hours:
= Parts produced per hour x number of hours
= 4.8 x 25
= 120 parts
Find out more at https://brainly.com/question/22475913.
A computer normally sells for $520. During a sale the computer is marked down 15 percent. How much will it cost to buy the computer during the sale
Answers
Answer:
$598
Step-by-step explanation:
520=100%
115% =
520×115%÷100%=598
Ans = $598
The red team and the blue team played a game. The red team scored 5 times the amount of points as the blue team. If the total points scored was 48, what is the ratio of red points to blue points
Answers
Answer:
red team scored 40. blue team scored 8.
If the number of different activities is represented by four consecutive odd integers, what is the algebraic expression that represents the total number of activities they have to choose from in one day?
Answers
Apply the distributive property
Arrange like terms
Simplify
2. Which is the smallest?
(a) -1,
(b) -1/2,
(c) 0,
(d) 3.
Answers
Answer:
the answer is -1
Step-by-step explanation:
Can anyone help me with this fraction
x/-4 = 9 =
Answers
Answer: x= -36
Step-by-step explanation:
-36/-4=9
|-2-(-2.5)|
What is the value of the expression
Answers
Answer:
0.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
|-2-(-2.5)|
|-2-+2.5|
|-0.5|
0.5
Determine the slope of the line of the two given points:
(6, 4), (15, 12)
Answers
Answer: 1.3125
Step-by-step explanation: Rise over run so 21/16, which if you open up your calculator you can divide 21 by 16 and your answer is 1.3125. Have a great day and message me with any more questions!
a transformation is a rigid motion if it preserves
Answers
4mulitiplied by what is 32
Answers
Answer:
8
Step-by-step explanation:
4*8 gives us 32.
Helppppppppppppp pleaseeeeeee
Answers
Answer:
bounce
Step-by-step explanation:
Dana bought a pair of pants that originally cost $68.50. They were 45% off. 1 point
The sales tax rate is 8%. How much did she save? What was the sale price?
How much did she pay in taxes? How much did she pay in total? *
19
Your answer
Answers
Answer:
10.96
Step-by-step explanation:
68.50/45=1.37
1.37*8=10.96
What is the answer to 4(950/2-125)/5
Answers
Answer:
280
Step-by-step explanation:
when you get the answer to all of that, you get 280 have a great day :)
the answer is 280.
What is division?Division is the process of splitting a number or an amount into equal parts.
here, we have,
given that,
4(950/2-125)/5
=4(475-125)/5
=4(350)/5
=1400/5
=280
hence, the answer is 280.
To learn more on division click:
brainly.com/question/21416852
#SPJ2
On a road trip, John covers 400 miles in 8 hours, including stops. If he maintains the same pace how far (to the nearest mile will he be from his starting point after 15 hours of driving.
Answers
Answer:
200 miles your welcome
please quick
A square tablecloth covers an area of 256 sq in it is folded in half some times until the area it covers is 8 sq in how many times is it folded
Answers
256
1)128
2)64
3)32
4)16
5)8
Help me out pleaseeeeeeeee
Answers
Answer:
D
Step-by-step explanation:
Because it's right I don't know how to explain but I had that question before and got it right D
x=3m/2-m
make m the subject of the formula
help me plss
Answers
Answer:
2X/(3+X)
Step-by-step explanation:
X = 3m/2-m
Cross multiply both sides
X × (2-m)= 3m
2X-Xm= 3m
2X= 3m+Xm
2X= m(3+X)
Divide both sides by the coefficient of m which is (3+X)
m= 2X/(3+X)
Changing the subject of a formula involves rearranging the formula
m as the subject of the formula is: [tex]\mathbf{m = \frac{2x}{3 + x}}[/tex]
The equation is given as:
[tex]\mathbf{x = \frac{3m}{2-m}}[/tex]
Cross multiply
[tex]\mathbf{x(2-m) = 3m}[/tex]
Open brackets
[tex]\mathbf{2x-mx = 3m}[/tex]
Collect like terms
[tex]\mathbf{2x= 3m +mx}[/tex]
Factor out m
[tex]\mathbf{2x= m(3 +x)}[/tex]
Divide both sides by 3 + x
[tex]\mathbf{\frac{2x}{3 + x}= m}[/tex]
Rewrite the above equation as:
[tex]\mathbf{m = \frac{2x}{3 + x}}[/tex]
Hence, m as the subject of the formula is:
[tex]\mathbf{m = \frac{2x}{3 + x}}[/tex]
Read more about the subject of formulas at:
https://brainly.com/question/17658928
