Type your response in the box.
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.
__
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.
__
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
. Predict how many tiles Figure 100 will
have? The rule is y=6x+5
Answers
To
357 is what percent of 420?
Answers
Answer:
85
Percentage Calculator: 357 is what percent of 420? = 85.
Answer:
85%
Step-by-step explanation:
357/420 reduces to 17/20 if you divide the numerator and denominator by 21 which is equivalent to .85
SOMEONE PLEASE HELP ME !
Answers
m=20 (slope)
b=10 (y-int)
equation= y=20x+10
El resultado de la multiplicación
1/10 x 1/10
Convierte a número decimal la fracción que obtuviste
Porfis es para hoy
Answers
Answer:
0.01 your welcome!! bye
there are 54 tickets to be shared and divided to section Z and section Y in the ratio 4:5. How many tickets will section Y received?
A.20
B.24
C.30
D.34
Answers
Answer:
C.30
Step-by-step explanation:
total ratio=9
y=[tex]\frac{5}{9}[/tex]×54=30
Which statement is true regarding the function above?
A) There is a vertical shift 6 spaces up
B) there is a horizontal shift 6 spaces to the right
C) there is a vertical shift 6 spaces down
D) there is a horizontal shift 6 spaces to the left
Answers
Answer:
B.there is a horizontal shift 6 spaces to the right
Identity the slope and y-intercept
(-2,-3) (0,5)
Answers
Answer:
slope (m) = 4
y intercept is -3 and 5
Write an expression equivalent to 12+5t−4+15t+1
Answers
Answer:
20t + 9
Step-by-step explanation:
12+5t−4+15t+1
20t + 9
(Simplified version)
Answer:
The answer is 20t+9
Step-by-step explanation:
1. Marie took out a loan for $250 for a Nintendo Switch. She plans to pay the 1 point
loan off in 18 months. At an annual interest rate of 7%, how much will Marie
have paid altogether for the Nintendo Switch? *
Answers
Answer: $276.25
Step-by-step explanation:
250 times .07 = 17.5
17.5 times 1.5 = 26.25
250 + 26.25 = 276.25
solve for x 1/5(x-4)=-2
Answers
the answer is:
x = -6
The ratio of the measure of the three angles of a triangle is 3:4:8. Find the mesure of the large angle
Answers
Answer:
96°
Step-by-step explanation:
Ratio of angles :
3 : 4 : 8
Sum of angles in a triangle = 180°
The value of the largest angle = angle with the largest ratio
This is the value of the angle with ratio 8
Sum of ratio : (3 + 4 + 8) = 15
Hence,
(8 / 15) * 180°
(8 * 180°) / 15
1440 / 15
= 96°
What is the classification of the angle shown??
A. acute
B. right
C. straight
D. obtuse
Answers
Answer:
Acute
Step-by-step explanation:
what's the total cost of a 280 dollar television if is the sales tax is 10%
Answers
Answer:
$308
Step-by-step explanation:
280 x 0.10 = $28 tax
Add the tax to the cost & you have
280 + 28 = $308.
Will mark brainliest
Answers
Answer:
Step-by-step explanation:
1a. 2x - 4y = 2
-x + 4y = 3
x = 5
-5 + 4y = 3
4y = 8
y = 2
(5, 2)
1b. 2x + 3y=1
-2x + 2y = -6
5y = -5
y = -1
2x - 3 = 1
2x = 4
x = 2
(2, -1)
2a. x + 2y = 4
2x - 5y = -1
-2x - 4y = -8
2x - 5y = -1
-9y = -9
y= 1
2x - 5 = -1
2x = 4
x = 2
(2, 1)
2b. 4x + 2y = 4
x - 2y = -5
5x = -1
x= -1/5
-1/5 - 2y = -5
-2y = -4 4/5
y= 12/5
(-1/5, 12/5)
3. 5x + 3y = 85
11x + 5y = 163
25x + 15y = 425
-33x - 15y = -489
-8x = -64
x = 8 regular
5(8) + 3y = 85
40 + 3y = 85
3y = 45
y = 15 mini bouquets
(8 regular, 15 mini bouquets)
4a. 6x + 12y = -6
18x - 12y = - 162
24x = -168
x = -7
3(-7) - 2y = -27
-21 - 2y = -27
-2y = -6
y= 3
(-7, 3)
4b. 3(6 -y) - 2y = 38
18 - 3y - 2y = 38
18 - 5y = 38
-5y = 20
y = -4
x = 6 + 4
x = 10
(10, -4)
450 mistakes in 9 tests. How many mistakes per test?
Answers
Answer:
50
Step-by-step explanation:
all you have to do is Divide 9 ÷ 450 the answer is 50.
50 mistake per tests.
Answer:
50 mistakes per test. 450 mistakes divided by 9 tests =50
Peggy rode her bike 25 miles in 2 hours. At this rate, how far will she ride in 3 hours?
Answers
divide 25 by 2, that gives you 12.5
multiply 12.5 by 3 to get 37.5
What's nine plus ten? Is it 21 or 19
Answers
Answer:
19 duh
Step-by-step explanation:
A system of equations is shown below what is the x- value of the system of equations y= -4..... 2x-3y=8
Answers
Answer:
x= -2
Step-by-step explanation:
Consider the geometric sequence:
4, 8, 16, 32, ...
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n) = 4(2)” for n > 0
b(n) = 2(2)" for n > 1
c(n) = 4n-1 for n > 2
d(n) = 4n-2 for n > 3
Answers
Answer: a and b
Step-by-step explanation: plug in
The function for the geometric series is Tₙ = 4 (2)ⁿ⁻¹, the correct option is A.
What is a Geometric Series?A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.
The geometric series is
4,8,16,32,........
The function which denotes this sequence is given by
The standard equation for geometric series is
Tₙ = a₁ rⁿ⁻¹
r = 2
a₁ = 4
Tₙ = 4 (2)ⁿ⁻¹
To know more about Geometric Series
https://brainly.com/question/4617980
#SPJ2
whats the slope of the line help pls
Answers
Answer:
the slope is -1/6
Step-by-step explanation:
I hope it helps
Solve for x. −12x+13>35 Drag and drop a number or symbol into each box to correctly complete the solution.
Answers
Answer:
x < -11/6.
Step-by-step explanation:
−12x + 13 > 35
-12x > 35 - 13
-12x > 22
Divide both sides by -12 and invert the inequality sign:
x < -22/12
x < -11/6.
Is 3(x+2)-10=5x-6 one souliton
Answers
Answer:
one solution it is x=1
Step-by-step explanation:
i can type in the steps if you want
Answer:
X=1
Step-by-step explanation:
Just a few questions! Help if you want to be kind today! Or help someone in a different way! Not free!
Answers
Answer:
Answer For Question 30: 7 3/8
Step-by-step explanation:
I just Basically Added all the Sums together to finally get the Answer.
In the figure below, m_1=(x-9° and m2 =6xº.
Find the angle measures.
Help!!!!
Answers
Answer:
(x-9)°+6x=180°[by linear pair]
7x-9=180°
7x=180°+9
7x=189°
x=189/7
x=27
(x-9)°=27-9=18°
(6x)°=6×27=162°
The angle measures are 18 degrees and 162 degrees.
What is Angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
In the given figure ∠1=x-9 and ∠2=6x
The sum of ∠1 and ∠2 is 180 degrees by linear pair.
∠1 +∠2 =180
x-9+6x=180
Add the x variable terms
5x-9=180
Add 9 on both sides
5x=189
Divide both sides by 5
x=27
Now substitute value of x in angle 1 and angle 2.
∠1=x-9=27-9=18 degrees
∠2=6x=6(27)=162 degrees.
Hence, the angle measures are 18 degrees and 162 degrees.
To learn more on Angles click:
https://brainly.com/question/28451077
#SPJ2
Help me please answer thanks
Answers
In ΔDEF, the measure of ∠F=90°, DE = 88 feet, and EF = 39 feet. Find the measure of ∠E to the nearest tenth of a degree.
Answers
Which one is it???????
Answers
Lorenzo ate 25 of his bag of almonds. His 4 friends ate equal shares of the remaining bag of almonds. Which expression represents the almonds that each friend ate?
Answers
Answer:
(x - 25) / 4
Step-by-step explanation:
In this scenario, we have one unknown variable which is the total of the bag of almonds, therefore we can represent this with the variable x. Since Lorenzo ate 25 of this bag we would need to subtract this from the total of the bag. Then we need to divide the remainder by 4 since each of his friends ate the rest in equal parts. This would leave us with the following expression ...
(x - 25) / 4
help me pls i’m gonna fail the class>3
Answers
HELP ASAP!
Jesse serve 13 pints of orange juice at her party. How many quarts of orange is that she serve? Jesse served ____ quarts and ____ pints.