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Firstly, to try and sketch this graph just going on the equation as it is above is a huge task for any maths student. The best way to approach this is to neaten it up with some algebra:

-1: x^2+y^2...

Firstly remember that d/dx(x^n) = nx^(n-1). And so the antiderivative, or integral of x^n, i.e. \int(x^n) = x^(n+1)/(n+1) + C (where C is the integration constant). When integrating with limits, i.e. when...

Classical conditioning is a learning process whereby a stimulus such as food is paired with another neutral stimulus (food) through an association.

In order to find the velocity, we need to know the distance covered by the ball in a known length of time. We are given the distance, 5.0 m, therefore we need to compute the time of flight of the ball. Th...

The first thing to do when we are facing a trigonometry problem is to to draw the sine and cosine diagram on the unit circle. That takes very little time to do and is incredibly helpful to visualize the p...