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Let a and b be positive real numbers. If x^2 + y^2<=1 then what is the largest that ax+by can get?
By the Cauchy-Schwartz inequality, we have (x2 + y2)(a2+b2) >= (ax+by)2.
This can be transformed into (ax+by)2 <= (x2
List the factors that affect the rate of reaction
The rate of a reaction increases if:the temperature is increasedthe concentration of a dissolved reactant is increasedsolid reactants are broken into
On complete combustion in air, a sample of an unknown hydrocarbon yielded 176 grams of CO2 and 108 grams of H2O with no additional products. Which one of the following might be the formula of the hydrocarbon? (Relative atomic masses: H=1, C =12, O =16)
a) CH2b) CH3c) CH4d) C2H4 e) C2H8
The equation for the combustion of the hydrocarbon is: CxH
