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How do i remember the difference between differentiation and integration?

The easiest thing to do is to look at what is in the name. For integration you have `in`, which corresponds to an `increase` in power. Whereas with differenentiation you have `d` for decrease in power. Then ...
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Answered by Taha M. • Maths tutor
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The curve C has parametric equations x=2cos(t) and y=3cos(2t). Find and expression for dy/dx in terms of t.

Differentiate both equations given with respect to t. dx/dt = -2sin(t) dy/dt = -6sin(2t) dy/dx = (dy/dt) / (dx/dt) Sub your values in to get dy/dx = (3sin(2t))/sin(t)
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Answered by Sameerah K. • Maths tutor
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A metal sphere of radius 15cm is melted down and recast into a solid cylinder of radius 6cm. Calculate the height of the cylinder.

Using the eqauation for volume of sphere (V=4/3 pi r^3) calculate the volume of the original sphere. This comes to 14137.2 cm^3 (1dp). The new cylinder formed has the same volume. Therefore, you can use the ...
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Answered by Sameerah K. • Maths tutor
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What is a derivative?

The derivative of a function f(x) is a measure of how the function f changes as its variable x changes. You have already met an example of derivatives: the gradient, m , measuring the rate of change of f(x) ...
MD
Answered by Marta D. • Maths tutor
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How would I sketch the graph sin(x) + sin(2x - π/2) in my exam?

Sketching trigonometric graphs is all about working from the graphs you already know and seeing how they behave when added/multiplied/substracted from each other to sketch more complicated functions. You wou...
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Answered by Tutor73146 D. • Maths tutor
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