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Prove the arithmetic-geometric mean inequality by using an elementary method (no use of calculus, derivative or limit), that is,
(X1...Xn)^1/n <= (X1+...+Xn)/n
for non-negative real numbers X1, X2, ..., Xn.
Find the value of X at which the minimum or maximum occurs.
Use scientific notation to multiply the following two numbers. Express the answer using scientific notation; retain all nonzero decimal places.
Solve the given algebraic expression using foil method.
Factoring the quadratic equation.
Factor the polynomial
Sketch the parabola and find the vertex.
Maximizing the profit.
Find the polynomial of the following equation
By choosing specific nonzero values of z1 and z2, show that expression "log(z1/z2) = log z1 - log z2" , for log (z1/z2) is not always valid when log is replaced by Log.
Remaking the quadratic function.
Let f(x) = x^p - alpha E F [x] be irreducible, and let alpha be a root of f in an extension field. Show that if F (alpha)/F is a Galois extension, then g(x) = x^p - 1 splits in the field F.
What are the steps for calculating the correlation between two variables?
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