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1 the probability of dissociation of water into h and oh- to a good approximation can be characterized by the boltzmann distribution w asymp
a wirte two materials that are magnetic and two that are non-magnetic b explain magnetic inductionc describe what is meant by
1 sketch and explain different regions of a pressure-volume diagram of a full cardiac cycle 2 sketch and explain the relationship between
1 a protein was observed to move 300 microm in 127 minutes at 23degc assuming its density and viscosity to be 134 gcm3 and 089 x 10-2 gcm s
a explain the flow of direct current describe direct currentb explain the effect of resistance in circuits describe effect of
1 explain the basic features of electricity at a fundamental level describe the nature of electricity 2 what part of a
a word on an alphabet is any arrangement of the letters in the alphabet for exampleodd dod doo ddd are three-letter words on the alphabet do how many
a how many equivalence relations on a b c d e f haveb how many arrangements are there ofc how many triangles are resolute by the vertices of
a let v f1 2 7g and define r on v by xry iff x - y is a multiple of 3 you should know by now that r is an equivalence relation on v suppose
let r be the relation on z defined by arb iff gcda b 1 that is a and b have no common divisors greater than oneexplain whether r is reflexive
let r be the relation on s 1 3 6 9 27 defined by arb iff aba write down the matrix of rb draw the digraph of rc explain whether r is reflexive
let r be the relation on s 1 2 3 4 5 defined byr 13 1 1 3 1 1 2 3 3 4 4b write down the matrix of rc draw the digraph of rd explain whether r is
a let n abc7 prove that n equiv a b c mod 6b use congruences to show that 432n - 1 for all integers n ge
let a0 a1 be the series recursively defined by a0 1 and an 3 an-1 for n ge 1a compute a1 a2 a3 and a4b compute a formula for an n ge 0c use
find the number of six-digit positive integers that can be formed using the digits 12 3 4 and 5 every of which may be repeated if the number must
in a collection of 30 dissimilar birds 15 eat worms 18 eat fruit and 12 eat seeds accurately 8 eat worms and seeds 8 eat worms and fruit 7 eat fruit
how many ways can six men and three women form a line if no two women may stand behind each
for complex number z the minimum value of z z - cosa - i sinaz - 2cosa i sina is solution z z-eia z-2eia we seeoigin eia 2eia forms a
benzylic halide follows sn1 mechanism alwaysthe order of halides going sn1 rxn isbenzylgtallylgttertiarygtsecondarygtprimarygtmethylbeacause of
does the force constant of a spring changes if it is cut into parts ans force constant does not change because it is a
what is the value of integration limit n-gt infinity nn to the power nto the power 1nsolution limit n--gtinf 1 n-nnnn1n e limit
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two trains were traveling in opposite directions moving away from one another one train was moving at 5 miles per hour the other train was moving at
your dog is running around the grass in your back yard he undergoes successive displacements 350 m south 820 m northeast and 150 m west what is the
an object is thrown at 25 ms at 39 degrees above the horizontal from a 40m tall cliff how long is it in the