6) Use a Taylor series to estimate the integral's value to within an error of magnitude less than 10-3 0.7 In(x2 + 1)dx 6) Use a Taylor series to estimate the integral's value to with...
Use series to estimate the integral's value with an error of magnitude less than 10-3. 0.21 dx 1 +x^ (Round to three decimal places as needed.) 0
Use a series to estimate the following integral's value with an error of magnitude less than 105 0.2 sin x dx
solve ? Use a series to estimate the following integral's value with an error of magnitude less than 10 . 0.3 |3ex dx (Do not round until the final answer. Then round to five decimal places as needed.)
0.1 11) Use a Taylor series to approximate ſ sin(x*)dx with error less than 10-15 0 12) Find the surface area of x=t? y = 21 ,03t 34 about the x-axis
0.1 Use a Taylor series to approximate ſ sin (x“)dr with error less than 10-15
Please answer all, be explanatory but concise. Thanks. Consider the function f(x) = e x a. Differentiate the Taylor series about 0 of f(x). b. ldentify the function represented by the differentiated series c. Give the interval of convergence of the power series for the derivative. Consider the differential equation y'(t) - 4y(t)- 8, y(0)4. a. Find a power series for the solution of the differential equation b. ldentify the function represented by the power series. Use a series to...
Use Taylor Series to estimate the value of In(1.5) knowing that the value of In(1) = 0. Perform the calculations until the 4th order term of the series. At each step of your calculation, find the relative approximate error.
11. Here is the Maclaurin series for f(x) = ln(1 +x2): Tm 1-1 r1/3 ln(1 +x2) dz to within 10-6). Use the series to estimate (i.e. 100000 o 0 Show your work and be sure to justify that your estimate has the required accuracy. Circle your estimate. 11. Here is the Maclaurin series for f(x) = ln(1 +x2): Tm 1-1 r1/3 ln(1 +x2) dz to within 10-6). Use the series to estimate (i.e. 100000 o 0 Show your work and...
please show all work and dont forget to evaluate the intefral Use a Taylor series to approximate the following definite integral. Retain as many terms as needed to ensure the error is less than 10-4. 0.33 S s in (1+x2) dx 0 Rewrite the given integral using a Taylor series and simplify the result. Choose the correct answer below. 0.33 0.33 x4 x4 OA X- x² ² 2! 3! + dx B. X- x² x² 2 3 + +.. dx...
Estimate the value of the above series to within 10^-3 of the true value. (-1)" Estimate the value of the series to within 10-3 of the true value. 1)3 to wait nEO