MATLAB PLEASE

Consider the model

$f(t)=A{e}^{sin({}_1+{}_{1}t)}{e}^{cos({}_2+{}_{2}t)},$ for all $t0.$

The two angular frequencies ${}_1$ and ${}_2$ are given.

Find the amplitude A and the two phase shifts ${}_1$ and ${}_2,$ given the values of the function for $f(t)$ for tin$\{1,2,3,4,5,6,7,8,9,$dots,$100\}.$ Use how many values you need!

HINT: Use the sum trigonometric formulas for sine and cosine functions.

This is the code that is given for f and omega:

omega $=[2,1]$;

f $=[$

$3\mathrm{.}6065$

$0\mathrm{.}3667$

$1\mathrm{.}4256$

$5\mathrm{.}8902$

$2\mathrm{.}4701$

$5\mathrm{.}7549$

$6\mathrm{.}7604$

$0\mathrm{.}5410$

$0\mathrm{.}7121$

$5\mathrm{.}4867$

$3\mathrm{.}0614$

$3\mathrm{.}7443$

$9\mathrm{.}4376$

$1\mathrm{.}0680$

$0\mathrm{.}4235$

$3\mathrm{.}8090$

$4\mathrm{.}2015$

$2\mathrm{.}6949$

$9\mathrm{.}4275$

$2\mathrm{.}3896$

$0\mathrm{.}3477$

$2\mathrm{.}0766$

$5\mathrm{.}4891$

$2\mathrm{.}3897$

$7\mathrm{.}1422$

$4\mathrm{.}9902$

$0\mathrm{.}4210$

$1\mathrm{.}0192$

$5\mathrm{.}9064$

$2\mathrm{.}6747$

$4\mathrm{.}6899$

$8\mathrm{.}2396$

$0\mathrm{.}7240$

$0\mathrm{.}5404$

$4\mathrm{.}7919$

$3\mathrm{.}5370$

$3\mathrm{.}1433$

$9\mathrm{.}8207$

$1\mathrm{.}5520$

$0\mathrm{.}3686$

$2\mathrm{.}9341$

$4\mathrm{.}8379$

$2\mathrm{.}4729$

$8\mathrm{.}5089$

$3\mathrm{.}4427$

$0\mathrm{.}3623$

$1\mathrm{.}4912$

$5\mathrm{.}8619$

$2\mathrm{.}4523$

$5\mathrm{.}9108$

$6\mathrm{.}5501$

$0\mathrm{.}5228$

$0\mathrm{.}7412$

$5\mathrm{.}5589$

$3\mathrm{.}0073$

$3\mathrm{.}8406$

$9\mathrm{.}3348$

$1\mathrm{.}0178$

$0\mathrm{.}4339$

$3\mathrm{.}9286$

$4\mathrm{.}1183$

$2\mathrm{.}7361$

$9\mathrm{.}5149$

$2\mathrm{.}2723$

$0\mathrm{.}3481$

$2\mathrm{.}1673$

$5\mathrm{.}4218$

$2\mathrm{.}3908$

$7\mathrm{.}3098$

$4\mathrm{.}7918$

$0\mathrm{.}4114$

$1\mathrm{.}0652$

$5\mathrm{.}9252$

$2\mathrm{.}6401$

$4\mathrm{.}8201$

$8\mathrm{.}0581$

$0\mathrm{.}6942$

$0\mathrm{.}5590$

$4\mathrm{.}8976$

$3\mathrm{.}4668$

$3\mathrm{.}2116$

$9\mathrm{.}8104$

$1\mathrm{.}4752$

$0\mathrm{.}3738$

$3\mathrm{.}0463$

$4\mathrm{.}7536$

$2\mathrm{.}4940$

$8\mathrm{.}6533$

$3\mathrm{.}2843$

$0\mathrm{.}3585$

$1\mathrm{.}5596$

$5\mathrm{.}8280$

$2\mathrm{.}4368$

$6\mathrm{.}0694$

$6\mathrm{.}3391$

$0\mathrm{.}5058$

$0\mathrm{.}7721$

$5\mathrm{.}6254$

$2\mathrm{.}9555$

$3\mathrm{.}9408]$;

$[$A$,$ phi$1,$ phi$2]=$ compute$\_$exp$\_$wave$\_$params$($omega$,$ f$)$