Write a local function "polymac" that returns the coefficients of the Maclaurin series of a polynomial. The function will receive a vector that consists of the coefficients of a polynomial. Start with the function

Computer Networking: A Top-Down Approach (7th Edition)
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Chapter1: Computer Networks And The Internet
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QUESTION 2:
given as follows
For the special case when a = 0, the Talyor series becomes a Maclaurin series:
ƒ¹ (0) (x) +
f(x)=f(0) +-
1!
A function f(x) can be represented by its Taylor series centered at a constant a
end
ƒ(x) = f(a)+ƒ'(a)(x − a)+ ƒ"(ª)(x−a}² +ƒ''(ª)(x−a})³ +...
1!
2!
3!
For example:
Write a local function "polymac" that returns the coefficients of the Maclaurin series of a polynomial. The
function will receive a vector that consists of the coefficients of a polynomial. Start with the function
definition shown below. The built-in "taylor" function is not allowed, loops can be used if necessary.
You should use "polyderivative" created in QUESTION 1 in the body of "polymac".
ans
function [output]
polymac (x)
% [OUTPUT] = POLYMAC (X) returns the coefficients of the Maclaurin
% series of a polynomial
¸ ƒ''(0)(x)² + ƒ'''(0)(x)³
2!
3!
=
+...
x = [1 2 0 3];
polymac (x)
3 0 2 1
Transcribed Image Text:QUESTION 2: given as follows For the special case when a = 0, the Talyor series becomes a Maclaurin series: ƒ¹ (0) (x) + f(x)=f(0) +- 1! A function f(x) can be represented by its Taylor series centered at a constant a end ƒ(x) = f(a)+ƒ'(a)(x − a)+ ƒ"(ª)(x−a}² +ƒ''(ª)(x−a})³ +... 1! 2! 3! For example: Write a local function "polymac" that returns the coefficients of the Maclaurin series of a polynomial. The function will receive a vector that consists of the coefficients of a polynomial. Start with the function definition shown below. The built-in "taylor" function is not allowed, loops can be used if necessary. You should use "polyderivative" created in QUESTION 1 in the body of "polymac". ans function [output] polymac (x) % [OUTPUT] = POLYMAC (X) returns the coefficients of the Maclaurin % series of a polynomial ¸ ƒ''(0)(x)² + ƒ'''(0)(x)³ 2! 3! = +... x = [1 2 0 3]; polymac (x) 3 0 2 1
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