11.Use a table to find the Taylor polynomial P3 (x) for f(x) = √x - 1A.B.P3 (X)Use the series to approximate to 4 decimal places.P3 (2.3)Find the actual Value (put 2.3 in for x in f(x).around c = 2.(4 decimal places}D. Find the error by subtracting from the actual value

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Answered: 11. Use a table to find the Taylor…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Find the second Taylor polynomial P2(x) for the function f(x) = √4 + xabout x0 = 0. Approximate √3.9 using P2(x). Find the absolute error and the relative error for the approximation (you can use your calculator to find the “exact” value for √3.9).
K a. Use the given Taylor polynomial p2 to approximate the given quantity. b. Compute the absolute error in the approximation assuming the exact value is given by a calculator. X Approximate √1.02 using f(x)=√1+x and p₂(x) = 1 + 2 x² 8 a. Using the Taylor polynomial p₂, √1.02~ (Do not round until the final answer. Then round to four decimal places as needed.)
a. Approximate the given quantity using Taylor polynomials with n = 3. K b. Compute the absolute error in the approximation assuming the exact value is given by a calculator. e0.08 a. p3 (0.08) 1.0832853 (Do not round until the final answer. Then round to seven decimal places as needed.) b. absolute error (Use scientific notation. Use the answer from part a to find this answer. Round to two decimal places as needed.)
9) First find the 4th Taylor polynomial centered at c = 0 for f(x) = xe*. Show all relevant work. Then use that polynomial to estimate f (0.5) to eight decimal places.
Needs Complete solution with 100 % accuracy.
for b i got 5/4 (3!) is it correct ?
Determine the roots of the equation f(x) = -25 + 82x - 90x2 +44x3 - 8x4 +0.7x5 at intervals (0.5 ; 1) using the bisection method with an error of ε = 0.1
The profit (in thousands of dollars) from the sale of x thousand packages of note paper is given by the following function. P(x) = In (93 +8x) Use a Taylor polynomial of degree 2 at x = 0 to approximate P(0.7) if In 93 is given as 4.5326. C. P(0.7) B (Round the final answer to four decimal places as needed. Round all intermediate values to four decimal places as needed.)
a. Approximate the given quantity using Taylor polynomials with n = 3. b. Compute the absolute error in the approximation assuming the exact value is given by a calculator. 0.11 a. P3 (0.11) ~ (Do not round until the final answer. Then round to seven decimal places as needed.) b. absolute error (Use scientific notation. Use the answer from part a to find this answer. Round to two decimal places as needed.)
Suppose you have four data points xo ... x4 as shown on the figure to the right. Note that the data are not evenly spaced. We desire f(x) to estimate the value of f(x*). 6. On the figure, DRAW what a polynomial regression of order zero would look like. Label the line as "A. 7. On the figure, DRAW what a polynomial regression of order one would look like. Label the line as "B." 8. In the space below, write the regression equation for the polynomial you would choose to estimate the value of f(x*). Leave all coefficients as unknowns. Then, DRAW how it should look on the figure. Label is as line "C." O Xo X1 x* O + x X2 X3

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11. Use a table to find the Taylor polynomial P3 (x) for f(x) A. B. P3 (x) = Use the series to approximate to 4 decimal places. P3 (2.3) Find the actual Value (put 2.3 in for x in f(x). = D. Find the error by subtracting from the actual value around c = 2. (4 decimal places)