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Calculate the first and second derivative of
wrt .

Given the polynomial
find the roots and any local minima and maxima of .
Check your solutions with a plot of the polynomial.

Given calculate the integral of and with
respect to .
Check that Maples answers are correct by differentiating the results.

Compute the following integrals

Compute the following sums

Compute a formula for the sum of the first integers
and also the sum of the squares of the first integers.
I.e. compute and simplify the sums

Given the function , define the function in Maple and
compute the value of the function at and then
graph the function in the region [,].

Input the following Matrix into Maple

Compute the characteristic polynomial of .
Hint: use the charmat and det commands in the linear
algebra package linalg.

Compute the eigenvalues of .
Hint: use the solve or factor commands to find the
roots of the characteristic polynomial.

Use the solve command to solve the linear system
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