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the temperature at the point x y on a metal plate is given by the functionfx y x3 4xy y2 where f is in degrees fahrenheit and x and y are in inches
let f r3 rarr r be dened let f r3 rarr r be dened
generate g100012 and find the largest clique you can a clique is a complete sub graph that is a set of vertices each pair of which is connected
generate a 1000 vertex graph adding edges randomly one at a time how many edges are added before all isolated vertices disappear try the
look on the web for a data base that can be converted to an undirected graph for example in science there is a data base of proteins and
list the five most important things you learned about high
we have claimed that a randomly generated point lies on the equator of the sphere independent of where we pick the north pole to test this
consider the regression model yi a bxi ui where the xi are non-stochastic and the ui are independently and identically
in yeast a new mutation called suc was recently discovered the suc mutant cannot use sucrose as a source of carbon and will not grow if the
the plates of a parallel plate capacitor are 5 mm apart and 2 m2 in area the plates are in vacuum a potential difference of 10000 volts is applied
2 the dipole in problem is removed and the space between plates is filled with cu of conductivity sigma look up the valuea derive an expression for
1 a give an example of a function fx that has an inflection point at 1 4b give an example of a function gx that has a local maximum at -3 3 and a
1 consider the following differential equation with initial conditionst2 x 5 t x 3 x 0 x1 3 x1 -13assume there is a solution of the form x t t
a steam turbine takes in saturated steam at 300 c and outputs steam at 4 bar if the efficiency of the turbine is 65 calculatea the final composition
a box is divided into two parts of equal volume via a partition the box is thermally insulated from the surroundings consider that compartment 1
in thermodynamics the joule-thomson effect describes a process in which a fluid is forced through a valve or porous plug while kept insulated so that
a substance has constant heat capacity cp 35r and its equation of state is given byp v-crt rtwhere c 5 10-7 m3 j this substance is isentropically
find cp for any substance in terms of v t p and shint how is cp related to partsparttp
a 2kg piece of copper at 200o c is taken out of a furnace and is allowed to cool in air with an ambient temperature of 25o c calculate the entropy
a house is air conditioned using solar energy solar radiation heats a pressurized tank such that the temperature is maintained at 175o c 1500 kj must
two compartments each of 1 m3 capacity are connected by a valve and insulated from the surroundings and from each other one compartment contains
1 calculate the entropy change when 1 kmol of an ideal gas at 300 k and 10 bar expands to a pressure of 1 bar if the temperature stays constant2 what
determine the change in entropy when 2 kg of a gas at 277 k is heated in a closed rigid container to a temperature of 368 k take the specific heat at
for a reversible process involving ideal gases in a closed system show thatdeltas cv lnt2t1 for a constant volume processdeltas cp lnt2t1 for a
high temperatures and pressures are given for the following power plantsisu co-generation 400 psi 750fcity of ames with rdf 700 psi