Help me write a python code

It is required to use these toolboxes

Math, cmath, numpy, maltplotlib

Thabk you!!! Task $1$

a$)$ Define an array named theta that contains values starting at zero and ending with $10$ with increments of $\frac{}{100}$

b$)$ Define an array named $y$ where $y=5sin()$ for each value of theta.

c$)$ Define an array named ind$1$ by using the numpy.where$()$ command to determine the indices of all elements of $y$ that are greater than $2.$

d$)$ Define a logical array named ind$2$ containing logical indices to all elements of $y$ that are in the range from $-2$ to $2($inclusive of those bounds$).$

e$)$ Define a logical array named ind $3$ containing logical indices to all elements of $y$ that are less than $-2.$

f$)$ Plot $y$ as a function of theta, with values of $y$ greater than $2$ as black dots, values of $y$ in the inclusive range from $-2$ to $2$ as red dots, and values of $y$ less than $2$ as blue dots.

g$)$ Label the plot axes and title the plot appropriately. Set the axis limits so that the velocity data is not located on the edges of the plot.

MAE$1090$

FALL $2024$

Task $2$

The horizontal position of an object undergoing damped oscillation is given by:

$x(t)=3e^{-(\frac{t}{})}sin(t)$

where $t$ is given in seconds and $x$ is given in units of meters.

a$)$ Define an arras named $t$ that contains values starting at $0$ and ending with $40$ seconds with increments of $0\mathrm{.}01$ seconds.

b$)$ Define an array named alpha that contains values from $0\mathrm{.}5$ to $3($in increments of $0\mathrm{.}5).$

c$)$ Using nested for loops, determine the motion of the object over time $($using the array defined in part

a$)$ at each value of alpha $($defined in part b$)$ and plot the horizontal position of the object as a function of time $($for all values of alpha$).$