Search over 10,000 free study notes

As you may have already seen, light sometimes behaves as a wave and sometimes as a particle. This is due to something we call "wave-particle duality" by which we mean that objects on the quantum...

First we recall the general formula for the volume of revolution: V = π ∫ [f(x)]² dx Substituting our function, this gives: V = π ∫₀¹ (3^x)² x dx We could write (3^x)² as 3^(2x), or we could notice that t...

Yes (beneficial):

-Increase in GDP, increase in disposable income, increase in standard of living, increase in consumption, increase in AD --> multiplier effect

Depends on who experiences...

Warm and distill with acidified pottasium dichromate. Then test with tollens reagent. The acidified pottasium dichromate will have oxidised the primary alcohol to an aldehyde, which will form a silver mir...

Cosx-3sinx =R(CosxCosa-SinxSina) 1=Rcosa R^2=1^2+3^2  r=(10)^0.5=(approx)3.16 a=1.249 3.16Cos(x+1.249)=4 has no solution as 4<3.16 so as cos(theta) has maximum value of 1, there are no solutions