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PROBLEM 1.2-PRACTICE WITH ADDITIONAL FUNCTIONS 1.2-a Computers can only add, subtract, multiply and divide. So, how do they calculate a function such as sin(x)? They
PROBLEM 1.2-PRACTICE WITH ADDITIONAL FUNCTIONS 1.2-a Computers can only add, subtract, multiply and divide. So, how do they calculate a function such as sin(x)? They convert the function to a polynomial using its Taylors Expansion. Remember, given a differential function f(x), its Taylor's polynomial approximation atx-h is: f" (h) 2! Use the MATLAB function taylortool('sin(x)) to study the Taylor Series Approximation of a sin function . Find the Taylor expansion of ex . CUse exp (x) in MATLAB) Find the Taylor expansion of sin2(x). How many terms N do you need for a good approximation? . PROBLEM 1.2-PRACTICE WITH ADDITIONAL FUNCTIONS 1.2-a Computers can only add, subtract, multiply and divide. So, how do they calculate a function such as sin(x)? They convert the function to a polynomial using its Taylors Expansion. Remember, given a differential function f(x), its Taylor's polynomial approximation atx-h is: f" (h) 2! Use the MATLAB function taylortool('sin(x)) to study the Taylor Series Approximation of a sin function . Find the Taylor expansion of ex . CUse exp (x) in MATLAB) Find the Taylor expansion of sin2(x). How many terms N do you need for a good approximation
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