2. Since it is difficult to evaluate the integral dr exactly, we will approximate it using Maclaurin polynomials (a) De...
2. Since it is difficult to evaluate the integral / e dx exactly, we will approximate it using Maclaurin 0 polynomials (a) Determine Pa(x), the 4th degree Maclaurin polynomial of the integrand e (b) Obtain an upper bound on the error in the integrand for a in the range 0 S x 1/2, when the integrand is approximated by Pi (r) (c) Find an approximation to the original integral by integrating Pa(x) (d) Obtain an upper bound on the error...
Since t is difficult to evaluate the integral e dx exactly, we will approximate t using Maclaurınn polynomials 2 (a) Determine P4(x), the 4th degree Maclaurin polynomial of the integrand e" (b) Obtain an upper bound on the error in the integrand for r in the range 0S S 1/2 (c) Find an approximation to the original integral by integrating P4(x) (d) Obtain an upper bound on the error in the integration in (c) 2, when the integrand is approximated...
2. Since it is difficult to evaluate the integrae dz exactly, we will approximate it using Maclaurin polynomials polynomial of the integrand et (a) Determine P(x), the 4th degree Maclaurin (b) Obtain an upper bound on the error in the integrand for z in the range 0 S 1/2, when the integrand is approximated by Pa(x) (c) Find an approximation to the original integral by integrating P(x). (d) Obtain an upper bound on the error in the integration in (c)....
Sec6.5: Problem 6 Previous Problem List Next (2 points) Book Problem 17 4, to approximate the integral 7e dx (a) Use the Midpoint Rule, with n MA (Round your answers to six decimal places.) (b) Compute the value of the definite integral in part (a) using your calculator, such as MATH 9 on the TI83/84 or 2ND 7 on the TI-89. 7edx (c) The error involved in the approximation of part (a) is Ем — Те ах Ма (d) The...
For the final project, you will create an integral calculator polynomials of degree zero, one, two three and four Degree Function yz where z is a constant 3 where a,b.c.d.z e R, real numbers You will ask the user for the degree of the polynomial and then the coefficients and the constant values of the polynomial. Then you will ask the user for the beginning and the end of the interval along with the number of steps between the interval...
I need these calculus 2 questions answered for me. I seem to be some kind of close but not quite there. Please answer BOTH question and I will upvote se a series to find the first five terms of tan-tx3dx b) Find the minimum found in part a) nccessary to approximate dx so that error < 5 × 10 s, and approximate the definite integral with a partial mber of terms. c) Find an upper bound of the lerrorl of...
help wanted?? thank you explain correctly Problem 1 Use the trapezoidal rule technique to approximate the following integrals: a) 「(x2+1)dr(Note: use 0.5 increments forx) b) sina d INote: use a MATLAB function to subdivide the interval into eight equal parts) c e dx (Note: use 0.25 increments for x Problem 2 Use the Simpson's rule to evaluate the following integrals aDdr Problem 3: Given the polynomial: x3-6x2 + 30-0, Use MATLAB to find all roots of this polynomial. Use MATLAB's...