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...
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) = _______
Find the nth Maclaurin polynomial for the function. - 3x – 3 X + 1 n = 4 PA(X) =
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...
1,2,3, and 4 Here are some practice exercises for you. 1. Given f(x) e2, find the a. Maclaurin polynomial of degree 5 b. Taylor polynomial of degree 4 centered at 1 c. the Maclaurin series of f and the interval of convergence d. the Taylor series generated by f at x1 2. Find the Taylor series of g(x) at x1. 3. Given x -t2, y t 1, -2 t1, a. sketch the curve. Indicate where t 0 and the orientation...
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)
The nth-order Taylor polynomial for a function f(x) using the h notation is given as: Pa (x + h) = f(x) + f'(a)h + salt) 12 + () +...+ m (s) n." The remainder of the above nth-order Taylor polynomial is defined as: R( +h) = f(n+1)(C) +1 " hn+1, where c is in between x and c+h (n+1)! A student is using 4 terms in the Taylor series of f(x) = 1/x to approximate f(0.7) around x = 1....
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
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.)
5,9,13,17 1-X 1. What is the difference between a Taylor series and Maclaurin series? 2. T/F: In general, pn() approximates f(x) better and better as n gets larger. 3. For some function f(x), the Maclaurin polynomial of degree 4 is pa(x) = 6 + 3x - 4x + 5x – 7x*. What is p2(x)? 4. For some function f(x), the Maclaurin polynomial of degree 4 is p(x) = 6 + 3x - 4x + 5x – 7x*. What is f"O)?...