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prove that if p is a prime number of the form 4n 1 then the following congruence holdsx2 is congruent to -1 mod pthe
1 how would you teach the multiplication of polynomials2 what four steps should be used in evaluating expressions could
use gaussian multiplication on the hermite polynomials in the attached document these give the un-normalized wave
let s be the function that associates with each natural number the sum of its distinct natural number factors for
1 as one goes down the five-level memory hierarchy discussed in the text the access time increases make a reasonable
1 two polynomials p and d are given use either synthetic or long division to divide px by dx and express p in the
why does ellie see these pulses as a sign of intelligent life or what is the significant about the number of
1 for each of the following statements write the contrapositive statement and prove the original statement by proving
1 solve the problem if one book of stamps lasts a family three months how many books of stamps would be needed to last
the week one discussion will concentrate on the mathematical fact that all numbers in our real number system are the
a describe a series of steps that could be used to write fractions like 34 25 56 118 310 1915 720 825 940 or 1750 in
1see attached2show that 28 is a perfect number3what is the amicable number to 172964express all 511 as the sum of
project 1work only equation a x - 2x - 13 0 and c x 12x - 64 0 but complete all 6 steps a-f as shown in the
match the property to the equationa identity property of additionb identity property of multiplicationc additive
summarize the source of the calculations for the richter scale- compare the richter scale and mercalli scale in your
please explain all reasoning and show all steps to help me better my own understanding of this material thanks see the
part 11 define the word function2 give an example of a function using a set of at least 4 ordered pairs the domain will
a let a be a positive definite matrix show that x has a unique positive square root that is show that there exists a
let p be the set of all polynomials show that p with the usual addition and scalar multiplication of functions forms a
given a vector w the inner product of rn is defined byltxygtsummation from i1 to n xiyiwia using this equation with
the points on a plane a-32 and b15-3 are included in a parallel right to another one which crosses point at p-2-4finda
1 factor the following polynomial y 3x4 - 22x3 31x2 40x -162 find the real solutions of y x3 8x2 1 lx - 203 solve
please help with the following problem that involves systems of linear equationsa cookie company makes three kinds of
the two images below shows one of our attempts to come up with the rotation angle required i believe that it does not
if x is a nonempty subset of a group glet ltxgtx1k1x2k2xmkmmgt1 xiex and kiez for each ia show that ltxgt is a subgroup