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y = 4x^3-5x^-2 dy/dx = 12x^2+10x^-3
3tan(k)-1=sec^2(k) () We want to get this in the form of a quadratic equation in a single variable, and in this case the easiest variable is tan(k). To do this we use the trigonometric identity sec^2(...
Use the identity cos^2(x)+sin^2(x)=1, to change the 5sin^(x) into 5-5cos^2(x) and rearrange. Let y=sin(x) and solve the rearranged quadratic (6y^2-3y-3) for y and find the value of x for each solution. y=...
The objective of this question is to find the solution, what is x equal to? The first thing to do is try to get all x terms on one side of the equation and all non x terms on the other. Here we have posit...
Given: £30 pounds per week 20% = 0.2 = 1/5 - spending on leisure
To find: a) Residue amount (Ra) b) How many weeks does Michael need to save (Tw)
Solution: a) To the find residue amount we m...
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