Determine the degree of the Maclaurin polynomial required for the error in the approximation
Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001.
f(x) = 1/(x+1') approximate f(0.2)
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Determine the degree of the Maclaurin polynomial required for the error in the approximation
Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001.
Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001. f(x) = 1/(x+1') approximate f(0.3)
12. [-16 Points] DETAILS LARCALC11 9.7.051. Determine the degree of the Maclaurin polynomial required for the...
12. [-16 Points] DETAILS LARCALC11 9.7.051. Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001. f(x) = sin(x), approximate f(0.6) Need Help? Read It Watch It Talk to a Tutor 13. [-15 Points] DETAILS LARCALC11 9.7.053. Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be...
The answer is not 3 to the first one & it's not .3597 to the second one...the answers have to...
the
answer is not 3 to the first one & it's not .3597 to the second
one...the answers have to be written in proper form for each
10. 0/1 points I Previous Answers LarCalc11 9.7.056. My Notes Ask Your Teacher Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.01. x 1' aPProximate f0.3) Need Help? ReadItTalk to a Tutor 11. 0/1...
N+ 1 1.8221 (0.6)" < 0.001 By trial and error, n 5. 39 (a) Compare the Maclaurin polynomials of d...
n+ 1 1.8221 (0.6)" < 0.001 By trial and error, n 5. 39 (a) Compare the Maclaurin polynomials of degree 4 and degree 5, respectively, for the functions f(x)e and g(x)- e What is the relationship between them? (b) Use the result in part (a) and the Maclaurin polynomial of degree 5 for f(z) = sinz to find a Maclaurin polynomial of degree 6 for the function g(x)sin r (c) Use the result in part (a) and the 5 for...
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...
16. (a) Approximate f(r)= xlnx by a Taylor polynomial with degree 3 at a=1. (b) Estimate the accuracy of the approx...
16. (a) Approximate f(r)= xlnx by a Taylor polynomial with degree 3 at a=1. (b) Estimate the accuracy of the approximation f (x) T (x) when x lies in the interval 0.5 rs 1.5 17. Find the first three nonzero terms in the Maclaurin series for the function f (x) = --_" and (r+3) its radius of convergence.
16. (a) Approximate f(r)= xlnx by a Taylor polynomial with degree 3 at a=1. (b) Estimate the accuracy of the approximation f...
Find the Maclaurin polynomial of degree 4 for the function. /(x) cos(3x)
Find the Maclaurin polynomial of degree 4 for the function. /(x) cos(3x)
Find the Maclaurin polynomial of degree 4 for the function. /(x) cos(3x)
2. Since it is difficult to evaluate the integrae dz exactly, we will approximate it using Maclaurin polynomials polyno...
2. Since it is difficult to evaluate the integrae dz exactly, we will approximate it using Maclaurin polynomials polynomial of the integrand et (a) Determine P(x), the 4th degree Maclaurin (b) Obtain an upper bound on the error in the integrand for z in the range 0 S 1/2, when the integrand is approximated by Pa(x) (c) Find an approximation to the original integral by integrating P(x). (d) Obtain an upper bound on the error in the integration in (c)....
2. Since it is difficult to evaluate the integral dr exactly, we will approximate it using Maclaurin polynomials (a) De...
2. Since it is difficult to evaluate the integral dr exactly, we will approximate it using Maclaurin polynomials (a) Determine P4(x), the 4th degree Maclaurin polynomial of the integrand e". (b) Obtain an upper bound on the error in the integrand for r in the range 0-x 1/2, when the integrand is approximated by Pi(x). (c) Find an approximation to the original integral by integrating P4(r (d) Obtain an upper bound on the error in the integration in (c) (e)...
-1/3 (i) Find the third-degree Maclaurin polynomial Tz(x) for f(x)= (1+4x). You can use differentiation or...
-1/3 (i) Find the third-degree Maclaurin polynomial Tz(x) for f(x)= (1+4x). You can use differentiation or derive the polynomial using binomial series. (ii) Find approximation errors|f(x)– Tz(x) at x =0.1 and x=1.
12. [-16 Points] DETAILS LARCALC11 9.7.051. Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001. f(x) = sin(x), approximate f(0.6) Need Help? Read It Watch It Talk to a Tutor 13. [-15 Points] DETAILS LARCALC11 9.7.053. Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be...
the
answer is not 3 to the first one & it's not .3597 to the second
one...the answers have to be written in proper form for each
10. 0/1 points I Previous Answers LarCalc11 9.7.056. My Notes Ask Your Teacher Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.01. x 1' aPProximate f0.3) Need Help? ReadItTalk to a Tutor 11. 0/1...
n+ 1 1.8221 (0.6)" < 0.001 By trial and error, n 5. 39 (a) Compare the Maclaurin polynomials of degree 4 and degree 5, respectively, for the functions f(x)e and g(x)- e What is the relationship between them? (b) Use the result in part (a) and the Maclaurin polynomial of degree 5 for f(z) = sinz to find a Maclaurin polynomial of degree 6 for the function g(x)sin r (c) Use the result in part (a) and the 5 for...
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...
16. (a) Approximate f(r)= xlnx by a Taylor polynomial with degree 3 at a=1. (b) Estimate the accuracy of the approximation f (x) T (x) when x lies in the interval 0.5 rs 1.5 17. Find the first three nonzero terms in the Maclaurin series for the function f (x) = --_" and (r+3) its radius of convergence.
16. (a) Approximate f(r)= xlnx by a Taylor polynomial with degree 3 at a=1. (b) Estimate the accuracy of the approximation f...
Find the Maclaurin polynomial of degree 4 for the function. /(x) cos(3x)
Find the Maclaurin polynomial of degree 4 for the function. /(x) cos(3x)
2. Since it is difficult to evaluate the integrae dz exactly, we will approximate it using Maclaurin polynomials polynomial of the integrand et (a) Determine P(x), the 4th degree Maclaurin (b) Obtain an upper bound on the error in the integrand for z in the range 0 S 1/2, when the integrand is approximated by Pa(x) (c) Find an approximation to the original integral by integrating P(x). (d) Obtain an upper bound on the error in the integration in (c)....
2. Since it is difficult to evaluate the integral dr exactly, we will approximate it using Maclaurin polynomials (a) Determine P4(x), the 4th degree Maclaurin polynomial of the integrand e". (b) Obtain an upper bound on the error in the integrand for r in the range 0-x 1/2, when the integrand is approximated by Pi(x). (c) Find an approximation to the original integral by integrating P4(r (d) Obtain an upper bound on the error in the integration in (c) (e)...
-1/3 (i) Find the third-degree Maclaurin polynomial Tz(x) for f(x)= (1+4x). You can use differentiation or derive the polynomial using binomial series. (ii) Find approximation errors|f(x)– Tz(x) at x =0.1 and x=1.
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