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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
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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
![](_918_displaymath272.xbm)
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Compute the characteristic polynomial of
.
Hint: use the charmat and det commands in the linear
algebra package linalg.
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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