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The main thing to consider here is the output of the operation. Vector and scalar products are both operations in which you take two vectors but then get something else. In a scalar product, you get a num...

(I can use the whiteboard for to explain it better)1) Express y = ln(x) as y = ln(x) * 12) Use integration by parts with u = ln(x), v'=(1), u'=1/x, v = xintegral = xln(x) - integral(x*1/x) =xln(x) - integ...

5/2 x^2 + 2x^3/2 +c

Differentiate f(x) = 14x²e^{x^2}To approach this problem we first need to realise that f(x) is made up of two simpler functions multiplied together. This tells us that we should use the...

Here we will want to use the SUVAT equations, which I'm sure you will have come across. Notice that in the question we only have an initial horizontal velocity and because we model all objects as points, ...