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How can we explain the standing waves on a string?

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 dire...
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Answered by Boris A. • Physics tutor
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Why do we say that objects moving in a circle have acceleration even if their speed remains constant?

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 ci...
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Answered by Boris A. • Physics tutor
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Solve the simultaneous equations 2x+3y=17 and 10x-y=5.

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 => 10...
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Answered by Boris A. • Maths tutor
4330 Views

Find the equation of the tangent line to the parabola y=x^2+3x+2 at point P(1, 6).

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 (if...
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Answered by Boris A. • Maths tutor
6196 Views

The equation x^2 + 3px + p = 0, where p is a non-zero constant, has equal roots. Find the value of p.

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 part of the solution....
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Answered by Emmanuel B. • Maths tutor
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