Homework Answers
![Q given that as a b=0.5 le (a,b] = 12, 2.5) & error E = 10-8 find no. of iteration na? Error goes down by y every therefore E](http://img.homeworklib.com/questions/7e6fec90-cac2-11ea-9de8-812f15c24d8d.png?x-oss-process=image/resize,w_560)
Add Answer to:
Question 5 (1 mark) Attempt 9 Starting with interval 12,2.6. How mary iterations of the bisection...
1. (a) Starting with the equality zV2, estimate using the Bisection Method on the initial interval [1,15], the numerica...
1. (a) Starting with the equality zV2, estimate using the Bisection Method on the initial interval [1,15], the numerical value of v2, to within a tolerance of є-10-2 (Hint: Square both sides of the equalityV2.) b) What is an upper bound on the error in using caoo, to estimate the numerical value of 2, via the Bisection Method, starting with an initial interval [1,2 (c) What is a sufficient number of iterations using the Bisection Method with an initial interval...
1. (a) Starting with the equality zV2, estimate using the Bisection Method on the initial interval [1,15], the numerica...
1. (a) Starting with the equality zV2, estimate using the Bisection Method on the initial interval [1,15], the numerical value of v2, to within a tolerance of є-10-2 (Hint: Square both sides of the equalityV2.) b) What is an upper bound on the error in using caoo, to estimate the numerical value of 2, via the Bisection Method, starting with an initial interval [1,2 (c) What is a sufficient number of iterations using the Bisection Method with an initial interval...
1. (a) Starting with the equality zV2, estimate using the Bisection Method on the initial interval [1,15], the numerica...
1. (a) Starting with the equality zV2, estimate using the Bisection Method on the initial interval [1,15], the numerical value of v2, to within a tolerance of є-10-2 (Hint: Square both sides of the equalityV2.) b) What is an upper bound on the error in using caoo, to estimate the numerical value of 2, via the Bisection Method, starting with an initial interval [1,2 (c) What is a sufficient number of iterations using the Bisection Method with an initial interval...
1) Use the bisection method to find the third approximation of 2 starting with the initial interval [1,2], and find the...
1) Use the bisection method to find the third approximation of 2 starting with the initial interval [1,2], and find the corresponding absolute error. Also, compute the number of iterations needed to achieve an approximation accurate to within 10 Then, use the suitable one to compute the second approximation of the root using xo,and find an upper bound for the corresponding error.
1) Use the bisection method to find the third approximation of 2 starting with the initial interval [1,2],...
need a matlab script to show this 1. Apply the bisection routine bisect to find the...
need a matlab script to show this
1. Apply the bisection routine bisect to find the root of the function f(x)= -1.1 starting from the interval [0,21 (that is, a 0 and b 2), with atol 1.c-8. Gopy 3.6. Exercises 59 required? Does the iteration count match the expectations. (a) How many iterations are based on our convergence analysis? (b) What is the resulting absolute error? Could this absolute error he predicted by our con- vergence analysis?
1. Apply the...
Please have a clear hand writing :) Question Question 3 (2 marks) Special Attempt 1 Use three iterations of the secant m...
Please have a clear hand
writing :)
Question Question 3 (2 marks) Special Attempt 1 Use three iterations of the secant method to find an approximate solution of the equation e-2.1x-5s-20 if your initial estimates are x0 3.65 and x1 3.9 Maintain at least eight digits throughout all your calculations. When entering your final result you MAY round your estimate to five decimal digit accuracy. For example 1.67353 YOU DO NOT HAVE TO ROUND YOUR FINAL ESTIMATE. X4= Skipped
Question...
5. For each of the following functions, and the corresponding initial interval, tell whether Bisection method...
5. For each of the following functions, and the corresponding initial interval, tell whether Bisection method can be applied to find a root in the interval, and if so, how many iterations are required to achieve the associated accuracy. Recall 10-G1 (b-a). (a) f(x) = sin(x), [-1, 1], E = 2-16 (b) f(x) = sn'(x), [-1, 1], € = 2-16 (c) f(z) = cos(x), [-1, 1], ε = 2-16 7. Show that Newton's method for finding the root of a...
8 Question 3 (2 points) The roots of the equation f(x) = 0 9 is known...
8 Question 3 (2 points) The roots of the equation f(x) = 0 9 is known to lie on the interval (-2, 5]. What will be the minimum number of iterations of Bisection method need to guarantee the approximation to the root is correct to within £10-5 21 19 18 20 Next Page Page 3 of 8
[20 Marks] Question 2 a) Given f(x)= x - 7x2 +14x-6 i) Show that there is...
[20 Marks] Question 2 a) Given f(x)= x - 7x2 +14x-6 i) Show that there is a root a in interval [0,1] (1 mark) ii) Find the minimum number of iterations needed by the bisection method to approximate the root, a of f(x) = 0 on [0,1] with accuracy of 2 decimal points. (3 marks) iii) Find the root (a) of f(x)= x - 7x² +14x6 on [0,1] using the bisection method with accuracy of 2 decimal points. (6 marks)...
Question 1 (1 mark) Attempt 1 Consider the boundary value problem1, 2<8 with uç2)-3 and uB)-s...
Question 1 (1 mark) Attempt 1 Consider the boundary value problem1, 2<8 with uç2)-3 and uB)-s Find functions g and фі such that u gtal +1 is a quadratic approximation that satisfies the boundary condos. Your answer should consist of two expressions, the frst representing the term g and the second representing the term ti. Both shouild be expressed in terms of tho independent varatbie Your answers should be expressed as a function of x using the correct syntax For...
1. (a) Starting with the equality zV2, estimate using the Bisection Method on the initial interval [1,15], the numerical value of v2, to within a tolerance of є-10-2 (Hint: Square both sides of the equalityV2.) b) What is an upper bound on the error in using caoo, to estimate the numerical value of 2, via the Bisection Method, starting with an initial interval [1,2 (c) What is a sufficient number of iterations using the Bisection Method with an initial interval...
1. (a) Starting with the equality zV2, estimate using the Bisection Method on the initial interval [1,15], the numerical value of v2, to within a tolerance of є-10-2 (Hint: Square both sides of the equalityV2.) b) What is an upper bound on the error in using caoo, to estimate the numerical value of 2, via the Bisection Method, starting with an initial interval [1,2 (c) What is a sufficient number of iterations using the Bisection Method with an initial interval...
1. (a) Starting with the equality zV2, estimate using the Bisection Method on the initial interval [1,15], the numerical value of v2, to within a tolerance of є-10-2 (Hint: Square both sides of the equalityV2.) b) What is an upper bound on the error in using caoo, to estimate the numerical value of 2, via the Bisection Method, starting with an initial interval [1,2 (c) What is a sufficient number of iterations using the Bisection Method with an initial interval...
1) Use the bisection method to find the third approximation of 2 starting with the initial interval [1,2], and find the corresponding absolute error. Also, compute the number of iterations needed to achieve an approximation accurate to within 10 Then, use the suitable one to compute the second approximation of the root using xo,and find an upper bound for the corresponding error.
1) Use the bisection method to find the third approximation of 2 starting with the initial interval [1,2],...
need a matlab script to show this
1. Apply the bisection routine bisect to find the root of the function f(x)= -1.1 starting from the interval [0,21 (that is, a 0 and b 2), with atol 1.c-8. Gopy 3.6. Exercises 59 required? Does the iteration count match the expectations. (a) How many iterations are based on our convergence analysis? (b) What is the resulting absolute error? Could this absolute error he predicted by our con- vergence analysis?
1. Apply the...
Please have a clear hand
writing :)
Question Question 3 (2 marks) Special Attempt 1 Use three iterations of the secant method to find an approximate solution of the equation e-2.1x-5s-20 if your initial estimates are x0 3.65 and x1 3.9 Maintain at least eight digits throughout all your calculations. When entering your final result you MAY round your estimate to five decimal digit accuracy. For example 1.67353 YOU DO NOT HAVE TO ROUND YOUR FINAL ESTIMATE. X4= Skipped
Question...
5. For each of the following functions, and the corresponding initial interval, tell whether Bisection method can be applied to find a root in the interval, and if so, how many iterations are required to achieve the associated accuracy. Recall 10-G1 (b-a). (a) f(x) = sin(x), [-1, 1], E = 2-16 (b) f(x) = sn'(x), [-1, 1], € = 2-16 (c) f(z) = cos(x), [-1, 1], ε = 2-16 7. Show that Newton's method for finding the root of a...
8 Question 3 (2 points) The roots of the equation f(x) = 0 9 is known to lie on the interval (-2, 5]. What will be the minimum number of iterations of Bisection method need to guarantee the approximation to the root is correct to within £10-5 21 19 18 20 Next Page Page 3 of 8
[20 Marks] Question 2 a) Given f(x)= x - 7x2 +14x-6 i) Show that there is a root a in interval [0,1] (1 mark) ii) Find the minimum number of iterations needed by the bisection method to approximate the root, a of f(x) = 0 on [0,1] with accuracy of 2 decimal points. (3 marks) iii) Find the root (a) of f(x)= x - 7x² +14x6 on [0,1] using the bisection method with accuracy of 2 decimal points. (6 marks)...
Question 1 (1 mark) Attempt 1 Consider the boundary value problem1, 2<8 with uç2)-3 and uB)-s Find functions g and фі such that u gtal +1 is a quadratic approximation that satisfies the boundary condos. Your answer should consist of two expressions, the frst representing the term g and the second representing the term ti. Both shouild be expressed in terms of tho independent varatbie Your answers should be expressed as a function of x using the correct syntax For...
Most questions answered within 3 hours.
-
Mr. and Mrs. Brown report taxable income of $130,000 in 2018. In
addition, they report the...
asked 1 hour ago -
You capture data by having 8 people fill in 30 small dots on a
piece of...
asked 5 hours ago -
What are the z-values such that 70% of the area lies in the
middle of the...
asked 7 hours ago -
You borrow $29,500 to purchase a brand new car. The interest
rate is 6%, and the...
asked 6 hours ago -
The amount of time it takes an asteroid, whose average distance
from the Sun is 4.70...
asked 7 hours ago -
A 0.289 kg mass slides on a frictionless floor with a speed of
1.34 m/s. The...
asked 6 hours ago -
15.A box contains five red balls, three green balls, and two
yellow balls. Suppose you select...
asked 9 hours ago -
Assume you are given the following for Stackelberg industries:
Return on Assets (ROA) = 8%
Debt...
asked 8 hours ago -
an engineer proposes to use mmWave in 5G network to
increase data rate.
What are the...
asked 8 hours ago -
Explain the idea behind using SEMIJOIN in distributed
query processing.
asked 8 hours ago -
why
is context important in selecting and applying guidelines and
principles for interface design?
illustrate your...
asked 8 hours ago -
In a certain board game, a player rolls two fair six-sided dice
until the player rolls...
asked 9 hours ago