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We will use integration by substitution to solve this integral. Let 1-x^2=sin^2(u) This means that: x^2=1-sin^2(u)=cos^2(u) (using the trigonometric identity sin^2(x)+cos^2(x)=1). Therefore, x=cos(u). If we ...

First, we need to try and eliminate one of the x or the y variables from both equations. Here, we are going to eliminate the y variable. In order to do this, we need to make the y coefficients equal in both ...

There are two approaches which can be taken when solving this equation. The first is using the quadratic equation. By comparing the coefficients of the example to the general quadratic equation, a(x^2)+b(x)+...

This question is asking for a complete the square method. This is where you take the coefficient of x (the number before x, so 3 here) and divide it by two, this gives you b in the new form. However, upon sq...

First, the key terms in the question should be defined; perfect competition, monopoly, and long run. This should be done in the first paragraph, to pick up to easy band 1 marks. One could structure this answ...