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To solve this problem we first must look into the given formula for time (T). It is stated, in the question, that the time taken is dependent on distance x. From this we can infer that the following probl...

Normally to find a tangent we want to work out dy/dx, but since this equation is x=something, it's much easier to work out dx/dy first, then we get dy/dx by doing 1/(dx/dy)=dy/dx.
By the chain rule, ...

Explain the dot product and the relation : a.b= ¦a¦¦b¦cos(x) where a.b is the dot product of two vectors, ¦a¦ and ¦b¦ are the magnitude of a and b respectively and x is the angle between them. Si...

Find the y₁ coordinate, where x₁ = 0, this is the intersection with y-axis. f(0)=4/3, therefore one intersection P_y=[0,4/3]Find the x_1,2 coordinates, where y = ...

In order to integrate ln x you have to use integration by parts, even though it appears there is only one term to be integrated. We get around this by instead writing it as (ln x)(1), where we treat the 1...