Homework Answers
Add Answer to:
The function e→ can be approximated by its McLaurin series expansiou as follows (note the alternating...
The natural log of 2, (In 2) can be found using the power series below: In...
The natural log of 2, (In 2) can be found using the power series below: In 2 1- Create an M-file function to implement this formula so that it computes and displays the values of In 2 as each term in the series is added. In other words, compute and display in sequence the values for up to the order term, n, as chosen by the user of the function. For each of the preceding, compute and display the percent...
There are also approximations of higher order derivatives that can be computed using only values ...
Number 9 requires number 8 so please can you answer
both? Thanks. Here's more context:
There are also approximations of higher order derivatives that can be computed using only values of the original function. Consider the approximation: u(a + 2h)-2u(a + h) + u (a) h2 8. Using your knowledge of Taylor series, what derivative is approximated by Equa Many different combinations of terms can be used to create approximations to deriva- tion??? What is the order of the approximation?...
2. It is probably evident that the Gregory/Leibniz series converges very slowly. The reason is that with x = 1, the powers of x in the Taylor series do not decrease in size. Here is an idea for obtai...
2. It is probably evident that the Gregory/Leibniz series
converges very slowly. The reason is that with x = 1, the powers of
x in the Taylor series do not decrease in size. Here is an idea for
obtaining better approximations.
I need help with d, please. Thanks in advance
1, 2. It is probably evident that the Gregory/Leibniz series converges very slowly. The reason is that with the powers ofx in the Taylor series do not decrease in size....
3. Cosine Approximation Write a function m-file to calculate the approximated cosine function which can be...
3. Cosine Approximation Write a function m-file to calculate the approximated cosine function which can be evaluated by the following infinite series - equation (2): 1. x² x4 26 (-1)(n+1). 22(n-1) cos x = 1 - 3 + - 6! + + (2(n − 1))! Here are requirements for the function m-file. - Parameter lists (inputs): 2 value (in radian), and desired error percentagel. - Return value (outputs): approximated value, real error percentage, and number of iterations - Function name:...
Instructions: Submit your script in a file named hwk08.m to the dropbox before 11:59 pm on the du...
Instructions: Submit your script in a file named hwk08.m to the dropbox before 11:59 pm on the due date NOTE: This assignment is neither quick nor simple. You will be well served to start on it early, and to ask for help if you need it. Being a more substantial assignment than earlier hwk, it is worth- s. When you ask your calculator for the value of a function for a specified argument, (e.g., sin(22), cos(74), In(6.5)), it almost certainly...
matlab The error function is a mathematical function that frequently arises in probability and statistics. It also c...
matlab
The error function is a mathematical function that frequently arises in probability and statistics. It also can show up in the solution to some partial differential equations, particularly those arising in heat and mass transfer applications. The error function is defined as 2 e-t dt picture attached This function is actually built-in to MATLAB as the command erf, and here we'll use that function to compute a "true value" with which we can compare results of two interpolation approaches....
Please show exactly how it is in MATLAB The cosine function can be evaluated by the...
Please show exactly how it is in MATLAB The cosine function can be evaluated by the following infinite series: cos ? = 1 − ?^2/ 2! + ?^4/ 4! − ?^6 /6! + ⋯ Create an M-file to compute cos(1.2345 rad) for up to and including eight terms, which is up to the term x^14/14!. a) Your program should compute and display the values of cos ? as each term in the series is added, e.g. cos ? = 1...
The cosine function can be evaluated by the following infinite series as (where the angle x...
The cosine function can be evaluated by the following infinite series as (where the angle x is given in radians) cos x =1--+ + 2! 4! 6! Create a second function M-file mycos that takes the angle x (in radians), and returns cos(x) with an absolute iterative error less than 1.0e-18. Test your function to find cosine of ?/2 and 2? Display the Expansion order, and the actual error (absolute error, not the relative one) and iterative error using fprintf...
1. Taylor series are special power series that are defined from a function f(z) atz = a by fittin...
1. Taylor series are special power series that are defined from a function f(z) atz = a by fitting higher and higher degree polynomials T, a(x) to the curve at the point (a, f(a)), with the goal of getting a better and better fit as we not only let the degree grow larger, but take a series whose partial sums are these so-called Taylor polynomials Tm,a(x) We will explore how this is done by determine the Taylor series of f(z)...
To test the series e 2n for convergence, you can use the Integral Test. (This is...
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...
The natural log of 2, (In 2) can be found using the power series below: In 2 1- Create an M-file function to implement this formula so that it computes and displays the values of In 2 as each term in the series is added. In other words, compute and display in sequence the values for up to the order term, n, as chosen by the user of the function. For each of the preceding, compute and display the percent...
Number 9 requires number 8 so please can you answer
both? Thanks. Here's more context:
There are also approximations of higher order derivatives that can be computed using only values of the original function. Consider the approximation: u(a + 2h)-2u(a + h) + u (a) h2 8. Using your knowledge of Taylor series, what derivative is approximated by Equa Many different combinations of terms can be used to create approximations to deriva- tion??? What is the order of the approximation?...
2. It is probably evident that the Gregory/Leibniz series
converges very slowly. The reason is that with x = 1, the powers of
x in the Taylor series do not decrease in size. Here is an idea for
obtaining better approximations.
I need help with d, please. Thanks in advance
1, 2. It is probably evident that the Gregory/Leibniz series converges very slowly. The reason is that with the powers ofx in the Taylor series do not decrease in size....
3. Cosine Approximation Write a function m-file to calculate the approximated cosine function which can be evaluated by the following infinite series - equation (2): 1. x² x4 26 (-1)(n+1). 22(n-1) cos x = 1 - 3 + - 6! + + (2(n − 1))! Here are requirements for the function m-file. - Parameter lists (inputs): 2 value (in radian), and desired error percentagel. - Return value (outputs): approximated value, real error percentage, and number of iterations - Function name:...
Instructions: Submit your script in a file named hwk08.m to the dropbox before 11:59 pm on the due date NOTE: This assignment is neither quick nor simple. You will be well served to start on it early, and to ask for help if you need it. Being a more substantial assignment than earlier hwk, it is worth- s. When you ask your calculator for the value of a function for a specified argument, (e.g., sin(22), cos(74), In(6.5)), it almost certainly...
matlab
The error function is a mathematical function that frequently arises in probability and statistics. It also can show up in the solution to some partial differential equations, particularly those arising in heat and mass transfer applications. The error function is defined as 2 e-t dt picture attached This function is actually built-in to MATLAB as the command erf, and here we'll use that function to compute a "true value" with which we can compare results of two interpolation approaches....
The cosine function can be evaluated by the following infinite series as (where the angle x is given in radians) cos x =1--+ + 2! 4! 6! Create a second function M-file mycos that takes the angle x (in radians), and returns cos(x) with an absolute iterative error less than 1.0e-18. Test your function to find cosine of ?/2 and 2? Display the Expansion order, and the actual error (absolute error, not the relative one) and iterative error using fprintf...
1. Taylor series are special power series that are defined from a function f(z) atz = a by fitting higher and higher degree polynomials T, a(x) to the curve at the point (a, f(a)), with the goal of getting a better and better fit as we not only let the degree grow larger, but take a series whose partial sums are these so-called Taylor polynomials Tm,a(x) We will explore how this is done by determine the Taylor series of f(z)...
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...
Most questions answered within 3 hours.
-
An infinite sheet of charge that has a surface charge density of
39 nC/m2 lies in...
asked 1 hour ago -
After watching the lectures I am still having a hard time
understanding these equations.
1. The...
asked 2 hours ago -
Testing:
H0:μ=56.9
H1:μ<56.9
Your sample consists of 23 subjects, with a mean of 56.3 and
standard...
asked 2 hours ago -
straight wire, labeled as Wire A, lies horizontally on a
tabletop and is oriented to run...
asked 2 hours ago -
For a Chi-Squared Goodness of Fit Test about a uniform
distribution, complete the table.
Round to...
asked 2 hours ago -
Milk of magnesia is only slightly soluble in water. Kc for the
reaction Mg(OHs)(s)>Mg2+(a) + 2OH-1(aq)...
asked 2 hours ago -
Excel's HYPGEOM.DIST function can be used to compute _____.
a. both hypergeometric probabilities and cumulative
hypergeometric...
asked 3 hours ago -
The rocket used for the human lunar missions was the Saturn V
rocket. At liftoff the...
asked 2 hours ago -
1. The East Street Bagel Shop has a weekly demand for 3,500
bagels, which they make...
asked 2 hours ago -
paraphrasing each paragraph
“Where two or more persons knowingly act together unlawfully,
the act of each...
asked 3 hours ago -
The lateral line system in fish is contained which of the
following?
chemoreceptors
photoreceptors
mechanoreceptors
odor...
asked 3 hours ago -
Find the y-intercept of y =-5 x. The y-intercept of y equals
negative 5 x is______...
asked 3 hours ago