Taylor Polynomials - Supplementary Problems 2 Use tpolytool in Matlab to complete the following exercises. 1. Let Tn (x) be the nth degree Maclaurin polynomial for x2 + 4. Find \u000f such that the smallest integer value of n with 2 x + 4 Tn (x) < \u000f \u0002 \u0003 for all x in the interval 0, 14 will guarantee that with error less than 0.00015. Z 1/4 Z Tn (x) dx approximates 0 1/4 x2 + 4 dx 0 2. Usetpolytool to determine the smallest integer n such that the Maclaurin polynomial Tn (x) for x2 + 4 satisfies 2 x + 4 Tn (x) < \u000f, where \u000f is the error bound found in part (a). 3. Use the substitution method to determine Tn (x) for f (x) = found in part (b). Z 4. Estimate 1/4 x2 + 4 dx with error less than 0.00015. 0 1 x2 + 4 where n is the value you Taylor Polynomials - Supplementary Problems 2 Use tpolytool in Matlab to complete the following exercises. 1. Let Tn (x) be the nth degree Maclaurin polynomial for x2 + 4. Find \u000f such that the smallest integer value of n with 2 x + 4 Tn (x) < \u000f \u0002 \u0003 for all x in the interval 0, 14 will guarantee that with error less than 0.00015. Z 1/4 Z Tn (x) dx approximates 0 1/4 x2 + 4 dx 0 2. Usetpolytool to determine the smallest integer n such that the Maclaurin polynomial Tn (x) for x2 + 4 satisfies 2 x + 4 Tn (x) < \u000f, where \u000f is the error bound found in part (a). 3. Use the substitution method to determine Tn (x) for f (x) = found in part (b). Z 4. Estimate 1/4 x2 + 4 dx with error less than 0.00015. 0 1 x2 + 4 where n is the value you