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In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present. For the change of -glucono lactone into gluconic acid, for example, when is measured in hours. If there are 80 grams of -glucono lactone present when , how many grams will be left after the first hour?
Use Fermat's Little Theorem to compute 3^302 mod 5, 3^302 mod 7, and 3^302 mod 11. Use your results to find 3 ^ 302 mod 385
Let f(x,y) = 1 - x2 - 2y2 and let S be the surface z = f(x,y). Parametrize the path of steepest ascent up S starting from the point (2, 1, -5). What point does the path approach?
Modeled the word problem mathematically like system of equations and solve by the matrix method - Determine the augmented matrix that represents the three equations
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
Prove that there exists only one 4-regular maximal planar graph. Can you explain it step by step? Draw the graph please.
Make up a differential equation that you feel confident possesses only the trivial solution y = 0. Explain your reasoning.
If the sum of the areas of both gardens is 165 square yards, find the measure of a side of the square garden.
An AE student named Seoung devises a coded system of arithmetic for keeping his financial information private. His coded system of arithmetic is identical to the usual one except that each digit 0 to 9 has a value different than from standard arit..
Select and discuss two examples of real life objects that incorporate the parabolic shape. Explain why the parabolic shape was used for the objects.
The form of augmented matrices.
The difference exists between the mean number
Perform six iterations and find absolute approximate error with exact solution. Also solve this system by Gauss elimination method with partial pivoting in order to get exact solution.
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