Homework Answers
Add Answer to:
3. Suppose that you need to compute cos(0.1) and make an error that is less than 0.001. Find the ...
1. (Taylor Polynomial for cos(ax)) For f(x)cos(ar) do the following. (a) Find the Taylor polynomials T(x) about 0 for f...
1. (Taylor Polynomial for cos(ax)) For f(x)cos(ar) do the following. (a) Find the Taylor polynomials T(x) about 0 for f(x) for n 1,2,3,4,5 (b) Based on the pattern in part (a), if n is an even number what is the relation between Tn (x) and TR+1()? (c) You might want to approximate cos(az) for all in 0 xS /2 by a Taylor polynomial about 0. Use the Taylor polynomial of order 3 to approximate f(0.25) when a -2, i.e. f(x)...
l. (Taylor Polynonial for cos(ar)) Fr f(z) = cos(ar) do the following. (a) Find the Taylor polynomials T.(r) about O fo...
l. (Taylor Polynonial for cos(ar)) Fr f(z) = cos(ar) do the following. (a) Find the Taylor polynomials T.(r) about O for f(x) for n 1,2,3,4,5 (b) Based on the pattern in part (a), if n is an even number what is the relation between T(r) and TR+1(r)? (c) You might want to approximate cs(ar) for all x in。Ś π/2 by a Taylor polynomial about 0. Use the Taylor polynomial of order 3 to approximate f(0.25) when a-2, i.e. f(x)-cos(2x). d)...
a) Use an appropriate second degree Taylor polynomial to approximate cos(0.0002). b) Apply Taylor's Theorem to...
a) Use an appropriate second degree Taylor polynomial to approximate cos(0.0002). b) Apply Taylor's Theorem to guarantee a level of accuracy for the result of Part a). c) Find a Maclaurin polynoinial suitable for approximaying cos(0.0002) with an error of less than 10-30.. You need not carry out the substitution, but you should explain how Taylor's Theorem guarantees that your pokynomail works.
I don't understand how to find the bounds on the error for number 21 and 23
I don't understand how to find the bounds on the error for
number 21 and 23
20, f(x) = x2 cos x, n = 2, c = π and a In Exercises 21-24, approximate the function value with the indicated Taylor polynomial and give approximate bounds on the error. etter 21. Approximate sin 0.1 with the Maclaurin polynomial of de- gree 3. gree 22. Approximate cos 1 with the Maclaurin polynomial of de- gree 4. gree 23. Approximate v10 with...
(1 point) Imagine that you need to compute e but you have no calculator or ther aid to enable you...
(1 point) Imagine that you need to compute e but you have no calculator or ther aid to enable you to compute it exactly, only paper and pencil. You 3 and the Error Bound for Taylor Poymomials to pencil, You e to use a third-degree Taylor polynomial expanded around x - o. Use the fact that e find an upper bound for the error in your approximation. e lerrorl s Preview My Answers Submit Answers
(1 point) Imagine that you...
Problem 5. Consider least squares polynomial approximation to f(x) = cos (nx) on x E [-1,1] using...
Problem 5. Consider least squares polynomial approximation to f(x) = cos (nx) on x E [-1,1] using the inner product 1. In finding coefficients you will need to compute the integral By symmetry, an 0 for odd n, so we need only consider even n. (a) Make a change of variables and use appropriate identities to transform the integral for a to cos (Bcos 8)cos (ne) de (b) The Bessel function of even order, (x), can be defined by the...
8. Let f(x)- -132+1, n-1 (a) (10) Find the radius of convergence R of f. (b) (ao) Use the given power series to find an approximation of f(edt that has an error of less than 0.001. Don't simp...
8. Let f(x)- -132+1, n-1 (a) (10) Find the radius of convergence R of f. (b) (ao) Use the given power series to find an approximation of f(edt that has an error of less than 0.001. Don't simplify your answer.pproximationofhuamathathasanemor
8. Let f(x)- -132+1, n-1 (a) (10) Find the radius of convergence R of f. (b) (ao) Use the given power series to find an approximation of f(edt that has an error of less than 0.001. Don't simplify your answer.pproximationofhuamathathasanemor
Follow the steps below to estimate 1 with an error less than TOO, Let f(z) = ln(1+2). In class on...
please show the steps! than you!
Follow the steps below to estimate 1 with an error less than TOO, Let f(z) = ln(1+2). In class on March 15, we showed that for all n 1, f(n)(z)一に1) Using this formula, we showed that the nth Taylor polynomial for f(x) at 0 is (n 1)! 7,(z) =z-2+3-4+ See also Example 8.1.5 on page 508 of our textbook. (1) For each n· find the maximum value Mn+1 of If(n+1)(zǐ for r in [-,...
0.1 11) Use a Taylor series to approximate ſ sin(x*)dx with error less than 10-15 0...
0.1 11) Use a Taylor series to approximate ſ sin(x*)dx with error less than 10-15 0 12) Find the surface area of x=t? y = 21 ,03t 34 about the x-axis
#1 Suppose we want to estimate sin (0.1) using the Taylor series of sin x at x = 0. (a) Find roug...
need answer for #2, which is about arctan
#1 Suppose we want to estimate sin (0.1) using the Taylor series of sin x at x = 0. (a) Find roughly a number of nonzero terms which are required to compute sin(0.1) to n decimals (you do not need to find the minimum number.) (b) Find such a number more accurately, i.e. find a smaller one, using any mathematical tech niques. You may want to use the fact related to Stirling's...
1. (Taylor Polynomial for cos(ax)) For f(x)cos(ar) do the following. (a) Find the Taylor polynomials T(x) about 0 for f(x) for n 1,2,3,4,5 (b) Based on the pattern in part (a), if n is an even number what is the relation between Tn (x) and TR+1()? (c) You might want to approximate cos(az) for all in 0 xS /2 by a Taylor polynomial about 0. Use the Taylor polynomial of order 3 to approximate f(0.25) when a -2, i.e. f(x)...
l. (Taylor Polynonial for cos(ar)) Fr f(z) = cos(ar) do the following. (a) Find the Taylor polynomials T.(r) about O for f(x) for n 1,2,3,4,5 (b) Based on the pattern in part (a), if n is an even number what is the relation between T(r) and TR+1(r)? (c) You might want to approximate cs(ar) for all x in。Ś π/2 by a Taylor polynomial about 0. Use the Taylor polynomial of order 3 to approximate f(0.25) when a-2, i.e. f(x)-cos(2x). d)...
a) Use an appropriate second degree Taylor polynomial to approximate cos(0.0002). b) Apply Taylor's Theorem to guarantee a level of accuracy for the result of Part a). c) Find a Maclaurin polynoinial suitable for approximaying cos(0.0002) with an error of less than 10-30.. You need not carry out the substitution, but you should explain how Taylor's Theorem guarantees that your pokynomail works.
I don't understand how to find the bounds on the error for
number 21 and 23
20, f(x) = x2 cos x, n = 2, c = π and a In Exercises 21-24, approximate the function value with the indicated Taylor polynomial and give approximate bounds on the error. etter 21. Approximate sin 0.1 with the Maclaurin polynomial of de- gree 3. gree 22. Approximate cos 1 with the Maclaurin polynomial of de- gree 4. gree 23. Approximate v10 with...
(1 point) Imagine that you need to compute e but you have no calculator or ther aid to enable you to compute it exactly, only paper and pencil. You 3 and the Error Bound for Taylor Poymomials to pencil, You e to use a third-degree Taylor polynomial expanded around x - o. Use the fact that e find an upper bound for the error in your approximation. e lerrorl s Preview My Answers Submit Answers
(1 point) Imagine that you...
Problem 5. Consider least squares polynomial approximation to f(x) = cos (nx) on x E [-1,1] using the inner product 1. In finding coefficients you will need to compute the integral By symmetry, an 0 for odd n, so we need only consider even n. (a) Make a change of variables and use appropriate identities to transform the integral for a to cos (Bcos 8)cos (ne) de (b) The Bessel function of even order, (x), can be defined by the...
8. Let f(x)- -132+1, n-1 (a) (10) Find the radius of convergence R of f. (b) (ao) Use the given power series to find an approximation of f(edt that has an error of less than 0.001. Don't simplify your answer.pproximationofhuamathathasanemor
8. Let f(x)- -132+1, n-1 (a) (10) Find the radius of convergence R of f. (b) (ao) Use the given power series to find an approximation of f(edt that has an error of less than 0.001. Don't simplify your answer.pproximationofhuamathathasanemor
please show the steps! than you!
Follow the steps below to estimate 1 with an error less than TOO, Let f(z) = ln(1+2). In class on March 15, we showed that for all n 1, f(n)(z)一に1) Using this formula, we showed that the nth Taylor polynomial for f(x) at 0 is (n 1)! 7,(z) =z-2+3-4+ See also Example 8.1.5 on page 508 of our textbook. (1) For each n· find the maximum value Mn+1 of If(n+1)(zǐ for r in [-,...
0.1 11) Use a Taylor series to approximate ſ sin(x*)dx with error less than 10-15 0 12) Find the surface area of x=t? y = 21 ,03t 34 about the x-axis
need answer for #2, which is about arctan
#1 Suppose we want to estimate sin (0.1) using the Taylor series of sin x at x = 0. (a) Find roughly a number of nonzero terms which are required to compute sin(0.1) to n decimals (you do not need to find the minimum number.) (b) Find such a number more accurately, i.e. find a smaller one, using any mathematical tech niques. You may want to use the fact related to Stirling's...
Most questions answered within 3 hours.
-
The blues made its way into many kinds of music. Eric Clapton,
The Beatles, and Elvis...
asked 1 hour ago -
8. A wave in a string has a wave function given by: y (x, t) =...
asked 19 minutes ago -
If you’re standing at the bottom of a hill and asked to evaluate
it while being...
asked 2 hours ago -
1. Which region has taken the lead in the world of
e-waste handling?
a) European Union...
asked 2 hours ago -
A 8.15- g bullet from a 9-mm pistol has a velocity of 366.0 m/s.
It strikes...
asked 3 hours ago -
The outstanding bonds of Alpha Extracts have a yield to maturity
of 7.4 percent and a...
asked 3 hours ago -
The Problem: The Case of the Harmonizing Vacations
Your CEO is exploring partnering with a European...
asked 4 hours ago -
A chemical equation is balanced by adding coefficients in front
of some formulas so that the...
asked 4 hours ago -
From the literature (reference your sources): What are the
lattice parameters of calcite and aragonite? Why...
asked 5 hours ago -
Your system is rejecting the question am asking which is
preceded by a case study. It...
asked 5 hours ago -
3. On January 2, 2000, Larry creates a trust with himself as
trustee. Larry as trustee...
asked 5 hours ago -
A member of the volleyball team spikes the ball. During this
process, she changes the velocity...
asked 5 hours ago