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The question has given us a function and wants us to determine whether or not any maximums/minimums exist (and if so identify then). We know maximums/minimums occur when the derivative of the equation is ...

It is not clear what to do when starting, but we realise that by making both sides to the power of two, will lead to have an expression containing sin^2(x) + cos^2(x), which is equal to one (which will pr...

Don't forget, in order to find the area under a curve y=f(x) between two values x=a and x=b we integrate f(x) between a and b.Thus to find the area enclosed between two curves y=f(x) and y=g(x) we simply ...

When interest rates decrease, this decreases the cost of borrowing and reduces the reward for saving. As a result, there is a higher incentive for firms and individuals to borrow/spend and a lower incenti...

1) X² +2Y²= 182) X - Y = 3
Rearrange 2) in the form X=3-Y then substitute in to 1); (3-y)²+2Y²=18, this is your new equation 39+3Y+3Y+Y²+2Y^...