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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
1 turbulent blood flow in anaemic patients is not uncommon what blood flow parameters should this turbulence be attributed to and why2 using
1 a protein with a density of 141 gcm3 has a molecular weight of 5000 gmola calculate its radiusb the radius measured during an experiment turned
1 describe the process of diffusion in cells not more than 2 pages 2 derive the equation for ficks second law3 draw a typical frap
a car of mass 800kg is pulling a trailer 300kg where sin a1200resistance to motionapart from gravity is 15n per kg of mad for each vehiclecalculate
1 define potential and kinetic energy 2 state the first and second laws of thermodynamics3 explain
1 define the cell theory 2 contrast the light microscope with the transmission electron microscope3 describe the structure and
1 describe the properties of water that make if invaluable to life as we know it2 explain why the versatility of
1 explain the fundamental scientific principles including basic principles of chemistry and physics2 give an example that applies scientific
a chemical reaction is known to occur spontaneously under standard conditions which of the following statements isare true more than one answer may
a solid substance has a molar volume which is smaller than that of its liquid phase which of the following statements regarding the solid-liquid
hydrogenation reactions are facilitated by the use of a transition metal catalyst such as ni or pt predict the signs of deltah deltas and deltag when
in the following dissociation reaction a2 g is 427 dissociated at equilibrium at 648oc and 1 bar pressurea2 g harr 2acalculate drgofor this