4. Find the nth Maclaurin polynomial for the function.
f(x) = e-x, n = 5
P5(x) = _______
5. Find the nth Maclaurin polynomial for the function.
f(x) = sin(x), n = 6
P6(x) = _______
11. Find the nth Maclaurin polynomial for the function a) f(x)e2,n 3 b) f(a)cos3x, n 4 12 Find the intommlc 11. Find the nth Maclaurin polynomial for the function a) f(x)e2,n 3 b) f(a)cos3x, n 4 12 Find the intommlc
Find the nth Maclaurin polynomial for the function. - 3x – 3 X + 1 n = 4 PA(X) =
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...
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)
5. Let Mn(x) be the nth Maclaurin polynomial for f(x) e as given in the text. Use the error formula to a value of n so that |Mn (2) e10-4. You will likely want to use a calculator to determine the value of n. You might want to use the fact that e2 < 8 when working with the error formula. 5. Let Mn(x) be the nth Maclaurin polynomial for f(x) e as given in the text. Use the error...
Please do questions 21, 25, 29, and 33. Thanks! In Exercises 21 - 24, approximate the function value with the indicated Taylor polynomial and give approximate bounds on the error. 21. Approximate sin 0.1 with the Maclaurin polynomial of de- gree 3. Exercises 25 - 28 ask for an n to be found such that pn(x) ap- proximates f(x) within a certain bound of accuracy. 25. Find n such that the Maclaurin polynomial of degree n of f(x) = et...
Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. n= 3; 4 and 2 i are zeros; f(1) = 15 f(x)=0
Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. n = 3; 3 and 4 i are zeros; f(1) = - 34 f(x)= (Type an expression using x as the variable. Simplify your answer.)
Let h be a function is such that h(0) = 3 and that the nth derivative of his h(n) (u) = cos(7) > h(x) Find the fourth degree MacLaurin Polynomial of h
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...