Problem $2$: Make an array of $5$ zeros, and then start with a value of $h=1.$ You want to find approximations for the derivative of $cos(x)$ near $x=\frac{}{2}.$ Make a for loop; after

each itteration, reduce the value of $h$ by half. Store your values in the array you created, and print out all the values when you are done.

Problem $3$: Print the graphs of $sin(x)$ and $cos(x)$ on the same graph with $-\frac{}{2}x\frac{}{2}.$ Include a legend with labels for each. You will need to choose appropriate sizings

for the window, and spacing for the values of $x.$

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Problem $4$: Recall that you can find the Maclaurin series approximation with $4$ terms for $f(x)=e^x$ as

$e^x$~~$1+x+\frac{x^2}{2}+\frac{x^3}{6}$

Make a function called mac$4$ that returns this approximation. Then calculate the true error $E_t$ for $0x3$; you will need to choose an adeequite spacing. Store these errors

in an array, then graph out the errors as a function of $x.$

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