let a = 35 Please show work! 2. Select a distinctive positive integer a with a > 10 that is not a perfect cube a) Use a third degree Taylor Polynomial to approximate v b) Compute an upper bound for...
.. Use the given Taylor polynomial P2 to approximate the given quantity. . Compute the absolute error in the approximation assuming the exact value is given by a calculator Approximate V1.05 using f(x) = 11+ and P2(x) = 1 + - a. Using the Taylor polynomial P2. 11.05 . (Do not round until the final answer. Then round to four decimal places as needed.) b. absolute error (Use scientific notation. Use the multiplication symbol in the math palette as needed....
a. Use the given Taylor polynomial p, to approximate the given quantity b. Compute the absolute error in the approximation assuming the exact value is given by a calculator Approximate e-004 using f(x) = -* and p(x) = 1 -x+ a. Using the Taylor polynomialpy.c-004 (Do not round until the final answer. Then round to four decimal places as needed.) b. absolute error (Uso scientific notation. Use the multiplication symbol in the math palette as needed. Round to two decimal...
Consider the function f(x) := v/x= x1/2. 6. (a) Give the Taylor polynomial P(x) of degree 5 about a1 of this function (b) Give the nested representation of the polynomial Qs()Ps((t)) where t -1 ((t)+1). (c) Using the nested multiplication method (also called Horner's algorithm), compute the approximation Ps (1.2) to V (give at least 12 significant digits of P(1.2)) (d) Without using the exact value of 12, compute by hand an upper bound on the absolute error V1.2 A(1.21...
Please write the steps, thanks. 13. a. Approximate the given quantity using a Taylor polynomial with n b. Compute the absolute error in the approximation assuming the exact value is given by a calculator 3. 266 a. P3 (266) (Do not round until the final answer. Then round to five decimal places as needed.) b. absolute error se scientific notation. Use the multiplication symbol in the math palette as needed. Do not round until the final answer. Then round to...
8. (13 points) Let g(x) = /3 + x2. (a) Find Ti (r), the first Taylor polynomial for g(x) based at b 1 (b) Use your answer to (a) to approximate the value of 3.25 (c) Use Taylor's inequality to find an upper bound for the error in your approximation in part (b) 8. (a) Ti(r)2 +3(x - 1) (b) 3.25 g(0.5) Ti(0.5) = 1.75 (c) HINT: |g"(x)| = 3 + x2)3/2° This is positive and decreasing on [0.5, 1]....