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a the generating function gz for a sequence gn is given bygz 1 - 2z1 3z3give an explicit formula for gnb for the sequence gn in the previous part
how may six digit numbers can be made in which the sum of the digits is evenans
yfax and fsinxlnx find dydxsolution dydx exist only when 0ltalt1 and is equal to the given solution while dydx does not exist when agt1 as
solve 4x22x30 ans x2 12x -34x142 116 - 34 -1116 implies x -1i11124 and its
lim n tends to infintiy x 2x 3x nx n2to the square where x denotes the fractional part of xans all nos are positive or 0 so limit is either
the points abc and d represent the numbers z1z2z3 and z4abcd is rhombusac2bdif z22i z41-2ifind z1 and z3ans poi of diagonals 3-i2using concept of
if tanxsecxsqr rt 3 0ltxlt180 then x is equal toans
sin10sin20sin30sin3600sin10sin20sin30sin40sin180sin360-170sin360-40sin360-30sin360-20sin360-10sin360sin360-x-sinxhence all terms cancel and
a boy standing in the middle of a field observes a flying bird in the north at an angle of elevation fo 30 degree and after 2 min he observes the
the sides of a triangle are x2 x1 2x1x2-1 prove that the largest angle is 120 degrees and find range of x ans the biggest side is x2 x 1so findout
tan9x tan7x tan2x1 - tan7xtan2xhere its given1 - tan2xtan7x 0impliestan9x infinitysincetan9x 3tan3x - tan33x1 - 3tan2 3x infinityimplies1-
4 boys and 4 girls are to seated in arow ino of girls sit togetheriinot all girls sit together iiiboys and girls are altenate to each other ivif a
the probability that a leap year will have 53 sunday is and how please explain it a17 b 27 c 57 d67sola leap
if an1 bn1an bn is the arithmetic mean of a and b then find nanswerarithmatic mean of ab is ab2 from the problemab2an1 b n1anbn then
the timbuktu post office has only 3 cents and 7 cents stamps having run out of all other denominations what are the six amounts of postage that
q in 3d-geometry give and - signs for xyz in all eight octantsansthere is no specific hard rule for numbering the octants so it makes no real sense
q in a lottery a person chooses six different natural numbers at random 1to 20and if there six numbers match with the six numbers already fixed
tww2lhsww2 w2 w2 1 1 but every third term is of the formw3n w3n222there are nine such terms their sum is 36the remaining are one their sum
in this we have to add the probability of 3 and 5 occuring separtely and subtract prob of 3 and 5 occuring together therefore
we know that amam1 so
a leap year has 366 days therefore 52 weeks ie 52 sunday and 2 days the remaining 2 days may be any of the following i sunday and monday ii
1 the number of accidents attended to by 6 emergency ambulance stations during a 5 month period wasstation may june july aug sep
1 10-2 is equal to2 if 3n 27 what is the value of 4n 1 3 what is 1100 of 10000 4 the formula c59 x f-32 converts centigrade temperature from
1 let the sample space s 1 2 3 4 5 6 7 8 suppose each outcome is equally likely compute the probability of event e an even number is selectedpe 2 a
consider two bags a and b with the following contentsbag abag b3 white marbles4 white marbles2 red marbles3 red marbles5 green marbles3 green