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Find the Pade approximation R(5,4) (x) for f(x) = sin x. Plot the following graphs:
i) Comparison of R(5,4) (x) versus f(x) = sin x, and
ii) the error E(x) = |R(5,4) (x) - sin x|,
each on interval [-π, π].
The product of two complex numbers
What is the quadratic equation? Explain where the quadratic equation comes from. In particular, how is the quadratic equation related to the process of completing the square?
a wheel whose radius is 1.5 was rolling without slipping along a horizontal surface. at a certain instant the angular
Problem on speed and distance
Factor the following expression
Find the union of two sets.
Compute the age of the older friend.
One of the often misunderstood concept in math is divisibility. Divisibility is different from the operation division. The Solution describes 7 key properties of divisibility and proves them mathematically as why they are true.
Let p be a prime. Let L be a Galois extension of K with [L : K] = p^n. For both m = p and m = p^(n-1), show there is a normal extension of K of degree m contained in L.
Graphical method for finding the solution.
Greatest Common Factor for Monomials. Find the greatest common factor for each group of monomials.
Find the exact area under the graph of f(x) = x2 - 2x + 2 on the interval [-1 , 2] using limits with a right sum. Correct notation is crucial.
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