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Prove that the sequence bn=(1+1/n)^(n+1) is a monotone decreasing sequence.
Draw pictures of the following relations on R (all real number). (a) R= {(x,y): y≤x and y≤2 and y≤2-x}. (b) S= {(x,y): (x-4)^2 + (y-1)^2 ≤ 9}. Also draw the inverse of each relation.
a boat's crew rowed 7.5 miles downstream, with the current, 1.5 hours. the return trip upstream , against the current , covered the same distance, but took 2.5 hours. find the crew's rowing rate in still water and the rate of the current.
A textbook store sold a combined total of biology and sociology textbooks in a week. The number of biology textbooks sold was two times the number of sociology textbooks sold. How many textbooks of each type were sold.
a computerized tutorial center at a local college wants to compare two different statistical software programs.nbsp
Rita has a collection of 108 coins consisting of nickels, dimes, and quarters. The number of dimes is 4 more than one-third the number of nickels, and the number of quarters is twice the number of dimes. How many coins of each kind does she have?
Define the difference of two sets A and B, using the basic operations of set theory: union, intersection, and complement.
State the following, giving the domain for each function using set notation - set of natural numbers
A 180 lb man carries a 20 lb can of paint up a helical staircase that encircles a silo with radius 20 ft. If the silo is 160 ft high and the man makes exactly four complete revolutions, how much work is done by the man against gravity in climbing ..
question the diagonal of a square is 24 feet. jane wants to build a fence around the garden. in order to buy enough
A projectile is fired straight upward from ground level with an initial velocity of 112 feet per second. At what instant will it be back at ground level?
Let (Xn) be a martingale and write ∆n = Xn - Xn-1, Suppose that bm ↑ ∞ and Σ∞m=1 b -2m E∆2m
By reading values from the given graph of f, use five rectangles to find a lower estimate and an upper estimate for the area under the given graph of f from x = 0 to x = 40.
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