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three-person problem of points pascal fermat and their old friend the chevalier de mere each put 1000 into a pot and agree to play a game that has
1 for a function f z rarr z let r be the relation on z given by xry iff fx fya prove that r is an equivalence relation on zb if for every x z the
1 let s be the set of all nonzero real numbers that is s r - 0 consider the relation r on s given by xry iff xy gt 0a prove that r is an equivalence
1 let r and s be relations on a set a for each statement conclude whether it is true or false in each case provide a proof or a counterexample
the fourier series expansion for the periodic function ft sin t is defined in its fundamental interval taking pi 3142 calculate
1 let a 12 3 na how many relations on a are both symmetric and anti-symmetricb if r is a relation on a that is anti-symmetric what is the maximum
the unit circle will be parametrized by cosw sinw provide a point on it the region cut out by circle the x-axis and the line from the origin to this
suppose a regular polygon which is an n-sided with equal side lengths s and similar angles at each corner there is an inscribed circle to
theres a nice way to show why the expresion for the area of a circle of radius r ispi r2it has an comman relationship with the experation for the
if e were rational then e nm for some positive integers m n so then 1e mn but the series expansion for 1e is1e 1 - 11 12 - 13 call the first n
draw a picture of the heat engine in a typical fossil fuel power plant and explain how it works1 is a measure of the electrical
1 what evidence suggests that light is a wave what evidence suggests that light is a particle2 in what sense does the information age depend on the
enrique iglesias belts out a high-c 1024 hz from the deck of his yacht what is the wavelength of this sound wave in the surrounding air as the sound
relationship among current voltage torquespeedcoil diametercoil length of motor and if any of the above changes how other parameters get affectedans
a 10l helium balloon at a pressure of two bar at 27c some o2 is now inside in balloon and final volume is made 30l the pressure also fell to 1 bar at
dipole moment product of magnitude of charge on any one of the atom and the distance between themedlarge application in electrostatsto differentiate
a metal rod of mass 10 g and length 10 cm is placed on a smooth 60 degree incline a uniform magnetic field b is applied in the region vertically
no of valence orbitals- no of hybrid orbitalsapply the formula for no of hybrid orbitalsif it exceeds 4 then the answer is
i want to know how to calculate hybridisation of an atom in a given compound like i want to calculate hybridisation of boron amp oxygen in this boric
true or false 1clothes always get static cling when dried in a clothes dryer 2 dust stick to all charged objects 3
if you want to amplify input signal of -20mv amplitude and a 100 mhz frequencywhich parameters of op-amp play a significant role what should be the
landfalls is a natural disasters and to determine how fast and how far mass movement moves can work energy equations be
from top of a tower a stone is thrown up and it reaches the ground in time t1 a second stone is thrown down with the same speed and it reaches the
approximate value is the precise or the accurate value which is measured to the actual value approximation is how close the measured value is to