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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...

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...

Often using vector graphics is better for images with which you want to retain scalability, as vector graphics store the information of the shapes (objects) that make up the image instead of the colour of...