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1. Ma = mg - Lmv        2) dv/dt = g-Lv 3)-1/L *(ln(g -Lv)/(g - Lu)) = t             4) g - Lv/ g - Lu = e^-Lt 5) Rearrange to.... v = 1/L *(g-(g - Lu) e^-Lt) Missed some steps as i...

The cosine rule,

a²=b²+c²-2bccosA,

where a, b, & c are the sides of a triangle and A is the angle opposite side a, is the general version of Pythagoras' ...

The derivative can be found by using the chain rule. i.e. let g(x) = |sin(x)|, so f(x)=ln(g(x)), hence df/dx = df/dg * dg/dx

df/dg = 1/g, dg/dx = |cos(x)| so df/dx = |cos(x)|/|sin(x)|

For th...

Implicit differentiation involves differentiating expressions for which it is difficult to rearrange into y in terms of x. It is important to note which variable is being differentiated by the other as, f...

Ratios are a way of comparing the amount of two things in a whole. In this case we are comparing the number of men and women in a football match, so, the total number of people at the match is equal to th...