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The law of demand states that quantity purchased varies inversely with price. In other words, the higher the price, the lower the quantity demanded and vice versa. This occurs because of diminishing margi...

We want to simplify this equation to one that we know how to solve. If we let ((z+1)/z) = w, then we need to solve w^6 = 1, which is more familiar. Now we try to find the modulus and argument of w. w = re...

StructureFirstly, you need to ensure that your essay fully engages with and clearly answers the question that has been asked. Ensure that all of your answer links back to the quest...

Use the auxiliary equation k²-5k+6=0. Solving this gives roots k=2 and k=3, which are real and distinct roots. This means that the complementary function is of the form y=Ae^(k₁x)+Be...

Firstly, recognize that 2^3 is 8, so y must be close to 8.It will be helpful to then write y^3 as y^3= 8 + 0.08We can then factorize out 8.y^3=8(1+0.01)If we try and take the cube root of this expression....