Advanced Math - Secant MethodSolve f(x) = x3- 2x - 5 using secant method correct up to 3 decimal places.You may also use excel for the iteration, and handwritten solutions.An example is given in the attached picture below: ExampleFind the root of f(x) = x7 - 1000SolutionThe detailed explanation of the solution is in the video.For the initial iteration,Let's pick x₁ = 2 and x2 = 3Inx3 = 3x-1000(-1000)-7n-1In-In-1-100037-1000(37-1000)-27-10003-2Iterations ofSecant Methodx1x2x3x4x5x6x7x8x92.4235072.5965152.7125522.6797412.6825982.6826962.682696We obtain the initial value of x3 as 2.4235065565809. We will continue with the iteration if the value of x is the same given the specifiednumber of precision or after a given number of iteration. After 9 iterations, our value of x is 2.6826957952447. ConceptLet xo and X₁ are the two initial approximation for the roots of f(x) =0 and f(x₁) respectively are theirfunction values. X2 is the part of intersection of x-axis and the line-joining the points (xo, f(xo)) and (x₁, f(x1))then x2 is closer than xo and X₁.The equation relating to Xo, X₁ and x2 is found by considering the slope m.f(xn)f(an)-f(n-1)an-n-1Xn+1 = XnWith the Secant Method, they may not bracket the root and calculates the x2 by the same formula asRegula-Falsi Method but proceeds to the next iteration without bothering about any root bracketing.Let us discuss further in an example.

Let fx=x3-2x-5 f0=-5<0f1=-6<0f2=-1<0f3=16>0 Since f(2)<0 and f(3)>0 ( opposite…

Answered: Solve f(x) = x3- 2x - 5 using secant…

Solve f(x) = x3- 2x - 5 using secant method correct up to 3 decimal places. You may also use excel for the iteration, and handwritten solutions.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality

Section: Chapter Questions

Problem 108A: The feed of a drill is the depth of material that the drill penetrates in one revolution. The total...

See similar textbooks

Related questions

Q: Suppose that n is greater or equal to 3, given that x,y,z are all elements of a Rn , such that |x-y|…

A: It is given that n≥3 and x,y,z∈Rn,such that x-y=d>0 and also r>0. It can be observed that x-y…

Q: How many Sylow 5-subgroups of S5 are there? Exhibit two.

A: We have to find Sylow 5-subgroups of S_5

Q: Determine if the following statements are true or false. If true, prove them. If false, find a…

Q: Question 16 Which of the following is equivalent to 1 1 1 - sin x + 1+ sin x Hide answer choices ?…

A: I have given the answer in the next step. Hope you understand that

Q: How

A: Please find the answer in the next step

Q: Solve the given initial-value problem. dx dt dy = 16x - y dt x(1) = 0, y(1) = 1 = -9x - y

Q: For the following three arguments: . Construct a FULL TRUTH TABLE for each argumer Explain, using…

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

Q: At least one of the answers above is NOT correct. A 9th order, linear, homogeneous, constant…

Q: a1 matrix: det a2 a3 Conjecture a general formula for the cofactor expansion along the 2nd column of…

Q: 3. The Dean of the College of Engineering of UPang undertakes a study to relate the starting salary…

A: Given, Student 1 2 3 4 5 6 7 8 9 10 GPA 78 81 85 87 75 79 83 88 85 77 Starting Salary 17 18…

Q: Let f be a function that maps X into y. Let {Gx|x€ A3 be an indexed family of subsets of Y. Show f"…

A: We use set theory to prove.

Q: Determine the 'Big Oh' for the following 8n³ +4n² +log n¹ +4".

A: We know, 8n3 = O(n3) 4n2 < 4n3 for all n > 1 => 4n2 = O(n3) log n4 = 4log n…

Q: Find the general solution of the given differential equation. dy + y = e6x dx y(x) = Give the…

Q: Exercise I.2. (a) Let n = values r (1). On the same set of axes, graph n and Her for the various r…

Q: 2 (a) when x = 0.3; xstarts = f(xstarts) = (b) when x = 0.7 xstarts = f(xstarts) = _xends= f(xends)…

A: Given equation is f(x)=8x3-8x2-8x+1 ⇒ f'x=24x2-16x-8 2(a) . Choose…

Q: Consider vectors -------|· = 3. = −4, №3 = | −8, №₂ = 2 . Suppose W = span{₁, ₂, 3, ū₁}. 2 a. Is {₁,…

A: In this this problem we use two steps test for showing W is a subspace of R3 and for finding basis…

Q: Suppose that the population x, of bacteria satisfies the discrete time dynamical system X1 where r…

Q: The table shows some trees that are in two city parks. Let U be the smallest possible set that…

A: Given that R is the set of trees in Riverside Park and S is the set of trees in Sleepy Hollow Park.…

Q: c) Integrate the function f(x, y) bounded by the lines y = x, y = 2x. x = 1. r = 2. over the region…

A: Integration over the said region

Q: f(x,y)= 3xy / (x^2+ 2y^2) find the range and graph

Q: (10) Let P, Q, R be mathematical statements. Consider the statement (PVQ) ⇒ (R^Q). (a) Find its…

A: We have used the negation of statement and Truth value of P implies Q.

Q: (6) Is the set F = ZU {±2 | n € N} a field? (Using the usual addition and multiplication of…

Q: (b) Let R be the region bounded by y = x², and y = x + 6. Sketch the region R and evaluate ff* dx…

Q: Warm up Wednesday (10/19) 1) Dilara is designing a kite ABCD on a set of coordinate axes in which…

Q: 0 1 0 S = {(1 3)·(¦¯¯^¹)· (² ¦ ). ( -º2³)} 03 4 0 23 2 is independent or not and if it is not,…

A: Recall the definition of linear independence i.e non-zero span of vectors must be non-zero. If a…

Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

Q: Note: You can get full credit for this problem by just entering the final answer (to the last…

Q: Draw the group tables for the following group: {1,2,3,4,5,6} under × mod 7. List all the inverses…

Q: This question refers to the population growth problem in section 3.9 of the lecture notes. Suppose…

Q: Prove using inductions

Q: Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. 5 2244…

A: Solution:

Q: Given F(r, s, t) = r (4t² - 2s¹), compute: Frst =

Q: Use a truth table to determine whether the two statements are equivalent. 12) -p ^-q and -(p Vq) a)…

Q: can you please give me the final answers with each value to 2 decimal places (just convert the…

A: As T→π4=-568, 568,334 68=8.2534=5.83 Thus, T→π4=-58.25, 58.25,35.83

Q: By about how much will f(x,y,z) = In √√x² + y² +z² change if the point P(x,y,z) moves from Po(4,1,3)…

Q: Find a particular solution to y" + 2y + y = -17e-t t² + 1

Q: 2. Let S(x) = Σº (-1)+¹ for x € I. Prove that S is differentiable on I k=0 (2k+1)! and that for x =…

Q: The graph shows the level curves of a function f(x, y) = 6x² + 6y² and a constraint function g(x,…

A: Given: The above graph shows the level curves of a function f(x, y)=6x2+6y2. And the constraint…

Q: solve the recurrence relation subject to the initial conditions. Find a closed-form solution for…

A: Given recurrence relation Ln=Ln-1+Ln-2 with initial conditions L1=1 , L2=3 for n≥3. This can be…

Q: 24. (a) Find the volume defined by 4<p <6, 30°<<60°, 2<z<5. (b) What is the length of the longest…

Q: Let X = {s, t, u, 15, 16, 17), Y={t, v, w, 15, 17, 19), and Z= {t, v, 16, 17, 19). List the members…

Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(-3)) B. f(h(7))…

A: I have given the answer in the next step. Hope you understand that

Q: (15) Let a, b = Z. Prove that if a is divisible by 4 and b is divisible by 4, then: (a) ab is…

Q: the graphs below represent y as a function of x? 2 b) only (b) d) 3 2+ only (a) 1 -1+ a) both (a)…

Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with x² + y² ≤ 25. 1. Absolute minimum of f(x, y) is…

A: Given function is fx, y=x2-xy+y2-5x+5y The given condition is x2+y2≤25

Q: calculate accurate values of f(x) when x is near 0 f(x) = (radical(1+x^2) - 1)/ (x^2)

Q: Express p→g in NAND (1) and NOR (↓) form

Q: Use the trapezoidal rule to calculate the absolute error of f¹ (6x³ +5x²) dx using 4 subintervals.…

Question

Advanced Math - Secant Method

Solve f(x) = x³- 2x - 5 using secant method correct up to 3 decimal places.

You may also use excel for the iteration, and handwritten solutions.

An example is given in the attached picture below:

Example
Find the root of f(x) = x7 - 1000
Solution
The detailed explanation of the solution is in the video.
For the initial iteration,
Let's pick x₁ = 2 and x2 = 3
In
x3 = 3
x-1000
(-1000)-7
n-1
In-In-1
-1000
37-1000
(37-1000)-27-1000
3-2
Iterations of
Secant Method
x1
x2
x3
x4
x5
x6
x7
x8
x9
2.423507
2.596515
2.712552
2.679741
2.682598
2.682696
2.682696
We obtain the initial value of x3 as 2.4235065565809. We will continue with the iteration if the value of x is the same given the specified
number of precision or after a given number of iteration. After 9 iterations, our value of x is 2.6826957952447.

Concept
Let xo and X₁ are the two initial approximation for the roots of f(x) =0 and f(x₁) respectively are their
function values. X2 is the part of intersection of x-axis and the line-joining the points (xo, f(xo)) and (x₁, f(x1))
then x2 is closer than xo and X₁.
The equation relating to Xo, X₁ and x2 is found by considering the slope m.
f(xn)
f(an)-f(n-1)
an-n-1
Xn+1 = Xn
With the Secant Method, they may not bracket the root and calculates the x2 by the same formula as
Regula-Falsi Method but proceeds to the next iteration without bothering about any root bracketing.
Let us discuss further in an example.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The feed of a drill is the depth of material that the drill penetrates in one revolution. The total depth of penetration equals the product of the number of revolutions and the feed. Compute the feed of a drill that cuts to a depth of 3.300 inches while turning 500.0 revolutions.
Solve for x:3(2x5)3(x7)=2x9.
Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b) y=2x4+12x+100 End behavior: y as x y as x
Find the exact solution for 52x3=7x+1. Ifthere isno solution, write no solution.