Consider the function: f = 68x4 +12x-2x + 9x+3. (a) Using MATLAB, estimate f(x) over the...

 

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Consider the function: f = 68x4 +12x-2x + 9x+3. (a) Using MATLAB, estimate f(x) over the interval 1x3 in increments of 0.02 using a base point of x = 1 and a: first-order Taylor series approximation i. ii. second-order Taylor series approximation iii. third-order Taylor series approximation Note that fixing a base point of x = 1 means that your Ax will increase for each estimate (i.e., 0.02, 0.04, 0.06, 0.08...). (b) Plot the three estimates of f(x) along with the exact value vs. x on one set of axes. Be sure to label your plot appropriately. Please plot the exact values using a line and the estimates using open symbols. Please show example hand calculations for the estimates from (i)-(iii) for f(x = 2.1). (c) Separately, plot the relative error for each of the three estimates vs. x on a single set of axes. Consider the function: f = 68x4 +12x-2x + 9x+3. (a) Using MATLAB, estimate f(x) over the interval 1x3 in increments of 0.02 using a base point of x = 1 and a: first-order Taylor series approximation i. ii. second-order Taylor series approximation iii. third-order Taylor series approximation Note that fixing a base point of x = 1 means that your Ax will increase for each estimate (i.e., 0.02, 0.04, 0.06, 0.08...). (b) Plot the three estimates of f(x) along with the exact value vs. x on one set of axes. Be sure to label your plot appropriately. Please plot the exact values using a line and the estimates using open symbols. Please show example hand calculations for the estimates from (i)-(iii) for f(x = 2.1). (c) Separately, plot the relative error for each of the three estimates vs. x on a single set of axes.

Answer rating: 100% (QA)

Heres the MATLAB code to perform the required calculations and plotting Given function f x 68x 12x2 2x3 9x 3 Interval and increments xvalues 10023 bas... View the full answer