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Suppose a simple group G of order 660 is a subgroup of the symmetric group S11 ( here S is with 11 as a subscript ) and x = {1,2,3,4,5,6,7,8,9,10,11}( a permutation like 1 goes to 2 and so on, I think ) in G. If P equals the span of x ( or <x> ) determine the permutations which generate NGP ( here G is written as the subscript of N (the normalizer of P in G, I think).Hint: if you know the order of the normalizer N of <x> can you find the generators for N ?Give a solid math argument why this is correct and please keep the answer as simple as possible at the same time.
(A U B)c and Ac ∩ Bc (remember: Ac denotes the complement of the set A)
Let R be a ring with the property that every element is either nilpotent or invertible. If a, b, c are in R with a and b nilpotent, show that ac, ca, and a + b are nilpotent.
Bob invested $11,000, part at 20% and part at 13%. If the total interest at the end of the year is $1,990, how much did he invest at each rate?
For each of the relationships described below, determine if the variables are directly proportional. Write a sentence or two for each to justify your answers.
Point out the true or false condition.
Solving equation using substitution method.
Solve the algebraic equation.
Let's explore some more characteristics of functions and their graphs. We can classify a function as even, odd, or neither. Explain what this means and use your explanation to answer the following.
How closely the diode follows the ideal diode equation. Determine the value of the energy gap, Eg, and hence state the likely type of semiconductor used to make the diode.
find the sum upto n terms of the following sequence 3+33+333+... n terms
Use the simplex method to solve the following maximization problem with the given tableau. You may use an applet or something from the internet to help you, but you must explain each step. If you have it worked without an explanation for each step..
Problem on age
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