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The symmetric difference operation on sets is , defined by X  Y = (XY)-(XY).Let A be any set and let R=(A) be the set of all subsets of A ? the "power set" of A. We will consider symmetric difference to be the "addition" operation on R, the better known operation of intersection to be the "multiplication" on R. It is a fact that R with these two operations is a commutative ring with unity. The first few parts of this problem ask about some of details about this ring.
(a) What is the zero of R? That is, what set Z has the property that XZ=ZX=X?
(b) What is the unity of R?
(c) If X an element of R (i. e. some subset of A), what is the additive inverse of X?
(d) What elements of R has a multiplicative inverse in R?
Show that for n=3K where K is a natural number, A=2
Show that if the roots of the polynomial p are all real, then the roots of p' are all real. If, in addition, the roots of p are all simple, then the roots of p' are all simple.
compute the mean and variance of the following discrete probability distribution.x
a common component of investing money is to take advantage of a financial institutions willingness to pay compound
Perform the indicated operation
an insurance agent receives a base pay of 700. in addition she makes a commission of 8 of the polices she sells. how
To find a number which tells what person in a row (if no more than 9 people are in a row) is wearing a ring on which joint of which finger, double the number of the person in the row
A projectile is launched from a platform 20 feet high with an initial velocity of 112 feet per second, The height h of the projectile at t seconds after launch is given h= - 16t^2 + 112t +20 feet.
Social networks, email and cyberchat have added to the lexicon of English through "coining," blends, clips and replacement. Does this show the development of a pidgin or simply fashionable slang?
Finding the new coordinates after the reflection.
Find the x- and y-intercepts of each graph(write your answers as points). Write the equation of the line through (3, -2) and (-1, 5) (slope-intercept form). Write the equation of the line parallel to 3x - 2y = 4 through (-2, 5).
Find the LCM of the denominators
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