Your answer is partially correct. Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polynomial for the function in sigma notation. 16 ln(1 + x) NOTE: Enter the exact answers.
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- 1) consider the degree 4 LFSR given by polynomial p(x)=x^4+x^2+1. What kind of polynomial is this p(x)=?In th given equation as follows , approximate the function at the given value of x, using the polynomial found in the indicated exercise:- f (x) =ln x, f (2.1),Find the Maclaurin polynomial of the ninth degree for the function h(x) = ln(1+x3)
- A) Calculate the sixth degree Mac Laurin polynomial for e^-x2 and obtain an approximate value for the fraction 1÷√e. B) Calculate the following definite integral:Based on the given function below x0 = 0.15, x1 = 0.25, x2 = 0.30 and x3 = 0.45 Using the third-degree Newtonian interpolation polynomial equations for the points f(0.37) Calculate the value and make the % error calculations according to the real value? (Note: In Transactions take 4 digits after the comma) f(x)= e -x2(square) - sinxFind the Maclaurin polynomials of orders n=0,1,2,3 and 4, and then find the nth Maclaurin polynomials, pn(x) for the function in sigma notation for f(x)=e^ax Choose the correct answer. provide solutions too.
- Given the following information, construct the Newton interpolation polynomial of degree two that passes through all the given points and approximate ln(5) + 11.) Find the Taylor Polynomials p1, p2, and p3 for f(x) = sin(x) at a=2.Find the taylor polynomials of orders n = 0,1,2,3, and 4 about x=x0, and then find the nth Taylor polynomials, Pn(x) for the function in sigma notation for f(x) = e^ax ; x0 = ln4
- (a) Write out the MacLaurin polynomial of degree 12 of the functionh(x) = cos(x2).(b) Use you answer to 4(a) to approximate the definite integralcos(x2) dx. from 0 to 0.6.(a) Find a Taylor polynomial of degree 4 for f(x) = sin(x) expandedabout x0 = 0.(b) Find the error term E5(x) for the polynomial in part (a).2). Find the Taylor polynomial of degree two approximating the given function centered at the given point. f(x) = cos(2x) at a = ? p2(x) = please show step by step clearly