Afirst-order measurement system with time constant of 25 ms and k = 1 v/n measures a signal of the form f t t t ( ) sin(2 ) 0.8sin(6 ) = +   n. (a) plot the response (output signal) in matlab. attach your code. note that the response signal should consist of both transient and steady parts. (b) determine the steady response analytically.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

step-by-step explanation: