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The two forces acting on the object are weight due to gravity pulling the object towards earth, and drag resisting this motion. When the object is first released, drag is small as velocity is low, so the ...

A catalyst is a substance which provides an alternative pathway requiring a lower activation energy for the chemicals to react, and speeds up the rate of reaction. A catalyst also remains chemically uncha...

Integrate by parts: integral = [uv] - ∫u'v dx (u'= derivative of u, v'= derivative of v)

u= x     u'= 1

v' = sin2x        v= -0.5cos2x

= -0.5xcosx  -  ∫-0.5cos2x dx

= -0.5xcosx...

With regards to the Oxford interview, the tutors want to see your knowledge, of course. More important, however, is your attitude and your ability to think on the spot. They want to accept students who ar...

Integrate, y= 3x² -1/x

 1{³ 3x² - 1/x dx = [x-lnx]³₁= (3-ln3)-(1-ln1) = 3-ln3-1+0= 2-ln3