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When a wave reaches the end of a string, it is reflected and inverted, so in a fixed string in which we've caused vibrations, such as a guitar string, we have two sinusoidal waves travelling in opposite d...

Because their speed might remain constant, but their velocity doesn't. Remember, velocity is a vector, so it has magnitude (which is the speed of the object), but also direction. For an object moving in a...

In order to solve the simultaneous equations, you should first get rid of one of the unknowns. In this case, one of the ways to do this is to multiply both sides of the first equation by 5 (2x+3y=17 =&g...

In order to find the equation of the tangent line, first we have to find its slope. To do this, we take the first derivative of the function. In this particular case, we just need to apply the power rule ...

Firstly, we need to recognise that the question stated that the quadratic equation has equal roots. This tells us that the discriminant of the equation (b^2 - 4ac) will be an important pa...