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Solve the equation x^2 – 5 = √ x – 2 by using successive approximation-
Answers
9514 1404 393
Answer:
x ≈ 2.367796
Step-by-step explanation:
There are a number of ways to use "successive approximation" to find a solution to an equation. You have not specified the method or the required accuracy.
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One of the more tedious is the bisection method, which computes the value of the function at the midpoint of an interval, to see if that midpoint should be a new interval bound. This method requires about 3 iterations per decimal place of the answer.
Another method is the secant method. It computes the x-intercept of the secant line joining the points at the ends of the interval containing the solution. The function value at this x-intercept is used to see if that point should be a new interval bound. This method converges slightly faster than the bisection method. It is speeded by adjusting both ends of the interval.
Newton's method iteration converges at a quadratic rate, nearly doubling the number of correct decimal digits at each iteration. This works in a fashion similar to the secant method, except the x-intercept is computed from the function value and its derivative, not from points at the ends of an interval.
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We assume you want the solution to ...
x^2 -5 = √(x -2)
This is conveniently reformulated to ...
x^2 -5 -√(x -2) = 0
so that we're seeking a zero of the function on the left.
The attached shows several iterations of the secant method. The function g is used to compute the x-intercept point on the line between (x1, f(x1)) and (x2, f(x2)). Then f(g( )) computes the function value at that x-intercept. We have used that to decide what the next interval limits (x1, x2) could be.
Our final guess at x is ...
x ≈ 2.367796 . . . . secant method
which gives an error less than 10^-5 between the left- and right-sides of the equation.
_____
Additional comments
At the bottom of the attachment is the Newton's Method iterator. The nice thing about this graphing calculator is that it displays the result of computing h(x) even as the value of x is being typed. This means you can type what you see and achieve full calculator precision for the solution in basically one pass. This method gives x = 2.36779701571.
Some hand-held graphing calculators have a derivative function built-in, so it is practical to use them to perform Newton's method iteration in substantially the same way.
Related Questions
Daniel is given the following information to construct a triangle. Determine what type of triangle will be constructed.
40 40 80 degrees.
A. a unique triangle
B. more than one triangle
C. not a triangle
D. a right triangle
Answers
Answer:
A
Step-by-step explanation:
What is the greatest common factor of 42 and 15?
Answers
Answer:
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
3
The lines represented by the equations y + 5/3x = -4 and 3y - 5x = 9 are
the same line
parallel
neither parrallel nor perpendicular
perpendicular
SOMEONE PLS HELP
Answers
Answer:
C. neither parallel nor perpendicularStep-by-step explanation:
Given lines:
y + 5/3x = -4 and 3y - 5x = 9To determine the relationship between the lines put them both into slope-intercept form and compare the slopes.
y + 5/3x = -4 ⇒ y = -5/3x - 43y - 5x = 9 ⇒ 3y = 5x + 9 ⇒ y = 5/3x + 3The slopes are different so the lines are neither parallel nor perpendicular.
Correct choice is C
Answer:
Neither parallel nor perpendicular
Step-by-step explanation:
If two lines are parallel, they share the same slope. If two lines have slopes that are opposite reciprocals of each other, then they are perpendicular. If it is the same line, then the two equations must be the same when converted into the same form. If none of these apply, then the line is neither of any these.
1) First, convert each equation into y = mx + b format, or slope-intercept form, to easily identify their slopes. Isolate y in both equations.
First equation:
[tex]y + \frac{5}{3} x = -4\\y = -\frac{5}{3} x-4[/tex]
Second equation:
[tex]3y - 5x = 9 \\3y = 5x + 9 \\y = \frac{5}{3} x + 3[/tex]
2) In slope-intercept format, the coefficient of the x term, or m, represents the slope. Thus, the slope of the first equation is [tex]-\frac{5}{3}[/tex] while the slope of the second equation is [tex]\frac{5}{3}[/tex]. The slopes are not the same, nor are they opposite reciprocals of each other. The equations are not the same either. Therefore, they are neither parallel nor perpendicular.
i really need help with this 6th grade work due today
Answers
5
Step-by-step explanation:
Length (L) = u
Breadth (b) = 6 mi
Perimeter (P) = 22 miles
Now we know
P = 2 (L+ b)
22 = 2 ( u + 6)
11 = u + 6
11 - 6 = u
u = 5
Answer:
u = 5
Step-by-step explanation:
The perimeter of a rectangle is all the sides added up.
The oppisite sides are parralel.
So the side across from 6 is all 6
6 + 6 = 12
The perimeter is 22 so you do
22 - 12 = 10
So 'u' equals 5 because you have to divide the number 10 by 2.
I need answer ples ASAP
Answers
Answer:
g
Step-by-step explanation:
g
Every weet Roseanne gets paid $100 plus a 5% commission on all
If she has 5000 in sales how much is her pay for the week? HELP
Answers
Answer:
5250
Step-by-step explanation
first find the percentage
5%=0.5
100×0.5= 5
now we have to how much hundreds are in 5000
5000÷100= 50
now we multiply
5x50=250
and now we add
5000+250= 5250
help pls i dont no
Answers
Step-by-step explanation:
[tex] - 5 \frac{1}{3} \div 3 \frac{1}{10} \\ = \frac{ - 5 \times 3 + 1}{3} \div \frac{3 \times 10 + 1}{10} \\ = \frac{ - 16}{3} \times \frac{10}{31} \\ = \frac{ - 160}{93} [/tex]
So choose option 1st
-1 67/93
Hope it will help :)
Answer: -1 67/93
Explain:
The first one is the answer because you have to keep change and flip and it has to be a negative because when you divide a negative by a positive it gives you a negative
Can I have a brainliest
Sam needs to rent a van for a school field trip. Van Company A charges a one time fee of $250 plus $10 for each mile driven. Van Company B charges a one time fee of $150 plus $12 for each mile driven.
At how many miles are they the same price?
Answers
D.y = 10x + 250
y = 12x + 150 is the correct answer to the question
PLS I NEED HELP I ONLY HAVE 15 MINS I BEG YOU PLEASE!! :(
In the year 1984 the average American used to eat 55.7 pounds of chicken. This was 2.8 pounds more than the the year 1982 average. By what percent did chicken consumption increase from the year 1982 to the year 1984?
Answers
Answer:
by 28% or 280%
not completely sure
Step-by-step explanation:
Determine the slope and the y-intercept of this question Y=-1/2x+3
Answers
slope=
-1/2
y-intercept=
3
Answer:
1/2
Step-by-step explanation:
A pet store has 45 mice. The number of mice is 22 more than the number of cats. Which equation can be solved to find the number of cats c?
Answers
Answer:
c+22=45
Step-by-step explanation:
It is the answer
h + 6h
help.
plz
h e l p
Answers
Answer:
= 7h
Step-by-step explanation:
Answer:
The answer is: 7h
Step-by-step explanation:
Sorry if I got it wrong...
i need help with math problem
Answers
Answer:
wow
Step-by-step explanation:
Find the slope of a line parallel to each given line. y=-5/3x+5
Answers
Answer:
m= -5/3
Step-by-step explanation:
M= slope
To find slope, you do y= mx + b
Answer:
[tex]\boxed {\boxed {\sf m= -\frac{5}{3}}}[/tex]
Step-by-step explanation:
First, identify the slope of the line given.
[tex]y= -\frac{5}{3}x+5[/tex]
This line is in slope-intercept form or y=mx+b where m is the slope and b is the y-intercept. The number being multiplied by x is the slope. The number being added or subtracted is the y-intercept.
-5/3 is the coefficient to x (-5/3 and x are being multiplied). So, the slope must be -5/3.
Next, remember that parallel lines have equal slopes. If the line is parallel to y= -5/3x+5, the slope must also be -5/3.
Segments that intersect at 90° angles are called _____
Answers
Answer:
Perpendicular segments
Step-by-step explanation:
one year the population of a city was 292000 now its 289080 find the percent decrease
Answers
Answer:
1%
Step-by-step explanation:
[tex] \frac{292000 - 289080}{292000} = 0.01 = 1\%[/tex]
Answer:
1%
Step-by-step explanation:
ok
What is the equivalent expression for 4(2b+3c?
Answers
You have to distribute the 4 to each of the two terms inside of the parentheses.
A number divided by 3 and then 4 is added to the quotient.the result is 8.find the number
Answers
Answer:
12
Step-by-step explanation:
8-4= 4 So, 4 is the quotient.
4x3= 12 So 12 is the original number
12/3 + 4= 8
1. - 9 - 28 = -9+
Need answers
Answers
-37=-9
hope this help
Help please if you can....
Answers
Answer:
C
Step-by-step explanation:
y=-7/17x + O
What’s the answer for this question
Answers
Answer:
Solve for O
by simplifying both sides of the equation, then isolating the variable.
O=y+7x/17
Helppp meee pleaseee
Answers
Answer:
I'm not sure sorry if I'm wrong but I think the answers would be 3,4,5
What is 2+8
A) 7
B)10
C) 11
D) 9
Answers
Answer:
B. 10
Step-by-step explanation:
Addition. use you finger and try to count like that. :)
Nola was selling tickets at the high school dance. At the end of the evening she picked up the cash box and noticed a dollar lying next to it. She said, "I wonder whether the dollar belongs inside the cash box or not." The price of tickets for the dance was 1 ticket for
Answers
Answer:
The $1 belongs to the cash box
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine if the $1 belongs to the cash box or not
Represent singles with s and couples with c.
From the attachment, we have:
[tex]s + c = 47[/tex] --- total attendance
[tex]5s + 4c =200[/tex] --- ticket sold
Solve for s and c.
Make s the subject in (1)
[tex]s = 47-c[/tex]
Substitute 47 - c for s in (2)
[tex]5(47 - c) + 4c = 200[/tex]
Open bracket
[tex]235 - 5c + 4c = 200[/tex]
[tex]235 - c = 200[/tex]
[tex]c = 235 - 200[/tex]
[tex]c = 35[/tex]
This means that the total individual which makes up the couples are 35. This is not possible because couples are in 2's and the total should be an even number.
So, we can conclude that the $1 belongs to the cash box
ONLY ANSWER IF YOU!! I WILL GIVE YOU BRAINLYEST!!
What is the lateral surface area of the square
pyramid?
A.324 cm2
B. 144cm2
C. 180cm2
D. 288 cm2
Answers
Answer:
B
Step-by-step explanation:
Right square pyramid
Solve for lateral surface area
AL≈148.43
a Base edge
6
h Height
12
Which of the following is equal to 2.2 × 8?
A.
(2 × 8) + (0.2 × 2)
B.
(2 × 8) × (0.2 × 8)
C.
(2 × 8) + (0.2 × 8)
D.
(2 + 8) × (0.2 + 8)
Answers
Answer: C
Step-by-step explanation: (2 × 8) + (0.2 × 8) because the 2.2 is together you will have to add those and multiply each 2 by 8.
Which of the following are not polynomials?
Answers
Answer:
A, B, C, and D
Step-by-step explanation:
Jared bought a package of 20 pens. If 3/4 of the pens had black ink, what is the number of black pens?
Answers
Answer:
We just figure out what 3/4 of 20 is and it is 15 so 15 pens!
Step-by-step explanation:
explanation: 1/4 of 20 = 5( 20 divided by four
1/4 x 3/1 =15/1
5x3 = 15
The legs of a right triangle measure 24 feet and 45 feet. What is the length of the hypotenuse
A.)51 ft
B.)69 ft
C.)38.07 ft
D.)8.31 ft
Answers
Step-by-step:
Pythagorean theorem-
a^2+b^2=c^2
24^2+45^2=c^2
576+2025=c^2
2601=c^2
square 2601= square c^2
51=c
Given the diagram shown below, state the measurement of 4MKD.
15
K
2)
32
D
Answers
Answer:
MKD = 57
Step-by-step explanation:
15+32
hope it helps you ☺️
