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Maths
A Level

why is the number e important?

When we work with circles, one of the most popular things to pop up is pi. We know that for any circle the circumference divided by the radius gives pi, without failure always. Pi is a number that’s been ...

Answered by Sam V. Maths tutor
2373 Views

Why does the chain rule work?

One of the best ways to view dy/dx is as a fraction. When we have y=f(g(x)), we need to make a substitution u=g(x) to find dy/dx. This leaves us y=f(u) and u=g(x). Differentiating said terms leaves us wit...

Answered by Sam V. Maths tutor
2540 Views

Separate (9x^2 + 8x + 10)/(x^2 + 1)(x + 2) into partial fractions.

First, we find the form of the two fractions we're going to get. As one denominator has a power of 2, and the other a power of 1, our answer will be of the form: [(Ax+B)/(x2+1)] + [C/(x+2)]. If...

Answered by Laura U. Maths tutor
3744 Views

4^x - 2^x+1 - 15 = 0

x = log5/log2

Answered by Narhen E. Maths tutor
2333 Views

For the curve y = 2x^2+4x+5, find the co-ordinates of the stationary point and determine whether it is a minimum or maximum point.

Stationary points occurs when the gradient of the graph is equal to 0, i.e. dy/dx = 0. Differentiate y with respect to x to get dy/dx = 4x + 4.So making 4x + 4 = 0 gives x = -1. Substituting this into the...

Answered by Owen B. Maths tutor
4450 Views

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