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dan must sell 3 diamond rings this week to meet his quota he is meeting up with 5 possible customers each who wants a
let r be any commutative ring and s a subset of r n f0g containing no zero divisorslet x be the cartesian product r s
the symmetric difference operation on sets is amp61637 defined by x amp61637 y xamp61660y-xamp61661ylet a be any set
1 define f sub four to be the set of all 2x2 matricesfsub 4 a b ab elements of f sub 2b abi prove that f sub four is
1a show that every subfield of complex numbers contains rational numbersb show that the prime field of real numbers is
let d be a squarefree integer and let 0 be the ring of integers in the quadratic field qamp8730d for any positive
please help with the following problemsa if ij are ideals in a ring r such that ijr and r is isomorphic to the product
givena-12isqrt32n1 show that a is real for any natural n2 show that for n3k where k is a natural number
please see the attached file for the fully formatted problemslet g be a function which can be differentiated four times
a let g gl2r be the general linear group lethgl2q and k sl2r a is an element of g det a 1 show that hk are subgroups
when the accountants for lose-a-digit computer inc had finished preparing their annual budget they presented the final
for a mapping a -gt b let denote the kernel equivalence of and let a -gt a denote the natural mapping define a -gt b
in the two-player game of two stacks a deck of cards with the joker added for a total of 53 cards is randomly divided
1 the equation x5 - 2x4 - x3 6x - 4 0 has a repeated root at x1 and a root at x-2 by a process of division and
a find 1225 divide by 15 in two different ways explain your methodsb explain using a diagram how the following problems
1 find the prime factorization of 54a 2223xb 2333c 2217d 22332 determine which of the following is divisible by 3a
does a prime number multiplied by a prime number ever result in a prime - why does a nonprime multiplied by a nonprime
a state a formula for tau n the number of divisions of n in terms of the collected prime factorization of nb define the
when solving a quadratic equation using the quadratic formula it is possible for the b2 - 4ac term inside the square
1 identify the polynomial written as a product of linear factorsfx x fourth 10x cubic 35x squared 50x 242 solve z
1calculate the taylor polynomial and the taylor residual for the function prove that as for all find the taylor series
a solve the following questions involving fundamental operations on polynomialsafind px 4qx given px4x4 10x3 - 2x2
1 how do i show x1 is primitive2 how do i prove x4x31 is an irreducible polynomial of degree 4 over z
1the figure shows the graphs of fx x 3 and gx ax 3what can you conclude about the value of a2if fx xx3x-1 use interval
a geologist you spoke with is concerned about the rate of land erosion around the base of a dam another geologist is