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Suppose K is a Galois extension of Q whose degree is a power of 2, and such that K is included in R (the reals). Show that the elements of K can be constructed by ruler and compass.
Consider the set of polynomials with real coefficients. Define two elements of this set to be related if their derivatives are equal. Prove that this defines an equivalence relation.
Apply the Gauss Jordan method
Solve the algebraic equation.
The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam 1/4 foot wide,
Make a graph for the quadratic function
Every finitely generated sub module is free.
Solving the algebraic expression by multiplication rule.
Find the smallest x-intercept for the function.
Find the following conditional probabilities.
Perform the following division
Find how any different passwords are possible.
Find the median, mean, mode & midrange
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