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maximize x2y3z given x,y,z>0 x+y+z=6 ...
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minimize 2x2+2y2+ 2z2+2xy+2yz+2zx ...
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maximize (x-1)2-(x-1)4-1/4 ...
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what is the minimum value of x2 +2xy+2y2+2y+1 ...
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Minimize x2 + 2x + 7 ...
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find the roots of the determinant: |1 x x2| |1 a a2| |1 b b2| ...
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Which of the following is true for 1/x.sin(x) ...
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Find the orthocentre of the trainagle formed by the intersection of the lines 7x+y=15; 3x+4y=7; x-7y+5=0 ...
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Find the domain of log[sin√(1-x2)] ...
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N Players play in a Knock Out Tournament. What is the total No of Matches to be played? (only the winner and runners up have to be decided) ...
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Which has a pyramidal shape? ...
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CO<sub>2 is not isostructural with ...
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The hybridized states of carbon in diamond, graphite and acetylene are in the order ...
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Which of the following species is not linear? ...
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Which of the pairs are isostructural? ...
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The shape of XeOF<sub>4 is ...
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The Xe atom in XeOF<sub>2 involves the hybridization ...
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The N-O-N bond angle is maximum in ...
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The bonds present in N<sub>2O<sub>5 are ...
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Which of the following combinations will give the most stable nuclei? ...
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Which of the following are α emitters? ...
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Stable nuclides cannot be obtained for ...
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A radioactive nuclide emits γ-rays due to the ...
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In the radioactive decay from 232<sub>92X to 220<sub>89Y, how many α and β particles are ejected from X and Y? ...
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A radioactive element decays by two parallel reactions, the decay constants for which are λ<sub>1 and λ<sub>2. The effective decay constant(λ) of the nuclide is ...
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The time of decay for a nuclear reaction is given by t=4t<sub>1/2. The relation between the mean life(T) and time of decay(t) is given by t= ...
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A sample of a radioisotope (t<sub>1/2=4 days) was taken. After 16 days, 3g of the sample was left. What was the initial mass of the sample? ...
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The rate of decay of a radioactive sample is given by R<sub>1 st time t<sub>1, and R<sub>2 at a later time t<sub>2. The mean life of this radioactive sample is ...
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In radioactive decay, the emitted electrons come from the ...
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Aldol condensation of propanal gives ...