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The first step is to notice that this is a standard integral in the form of 1/(x^2+a^2). In order to reach this form, we must first complete the square. Then we have 1/(x+2)^2-4+13=1/(x+2)^2+9. We can the...

Use the chain rule to differentiate the original equation: this results in 8x-3y^2*(dy/dx) + 2ln(3)3^2x=0. This can be rearranged to find dy/dx as a function of y and x: 3y^2(dy/dx)=8x+2ln(3)*3^2...

To find the stationary points of a curve y, you should first find the differential of the curve(dy/dx).Once you have an equation for dy/dx, you should solve it for when dy/dx is equal to zero. This gives ...

You use the cosine rule when you have been given the length of two sides and an inclusive angle (the angle in between those two lines) or if you have been given the length of three sides.You use the sine ...

Step 1: Difference between each term is 3. As the difference is constant it means that the degree of n in the nth term formula must be 1 (i.e no n^2, n^3 etc.). As we are adding 3 to each successive term ...