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How can you integrate the function (5x - 1)/(x^(3)-x)?

The first thing to do, is see if it can be simplified: 5x -1 can't, however x^(3) - x simplifies to x(x^2 - 1) and then to x(x-1)(x+1) by the difference of two squares. So now we have (5x - 1)/(x(x-1)(x+1)) ...
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Answered by Adam W. • Maths tutor
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Sketch the graph of f(x) = sin(x). On the same set of axes, draw the graph of f(x)+2, f(2x) and f(-x). By observing your graphs of f(x) and f(x), if f(a)=1, what is the value of f(-a)?

The first stage is the simple drawing of the sin graph. (could be done on the whiteboard)Then it is a typical A-Level style question to perform three types of transformations on that graph, here we have 1. t...
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Answered by Jessica G. • Maths tutor
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Differentiate the function y = 26 + x - 4x³ -½x^(-4)

dy/dx = 1 - 12x² + 2x^(-5)
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Answered by Louix M. • Maths tutor
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Sketch the function (x^4 + 2x^3 - x -2)/(x+2)

First of all determine the range of the function by looking at its denominator. The function is defined at each point except x=-2 Now to find the zeros of the function first factorise it and equate it to zer...
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Answered by Matteo D. • Maths tutor
3441 Views

Find the equation of the tangent for x = 2cos (2y +pi)

So this initially looks like a tricky question- especially the way it is written in the form of x as a function of y, ( x(y) ), rather than what we normally see y as a function of x, ( y(x) ).The first thing...
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Answered by Tonia M. • Maths tutor
4120 Views