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We need to split the problem into two cases to remove the abs sign. Case 1: 5x - 6 >= 0, equivalent to x >= 6/5. In this case the problem is now to find the values of x that satisfy x² &g...

An improper fraction is any fraction where the order of the constant (power of x) is equal or greater in the nuberator than the denominator, take for example;

(x²-3x-2)/(x²-3x...

i) Let’s first write down, as we always should, what we know and what we are searching for. We know height is 25 meters and we are searching for time, so: ℎ = 25 �� �� =? This is a case of free fall of co...

here the student needs to use both implicit differentiation and the product rule.

I would differentiate term by term for this problem.

for 2ye^-3x you have to use the proudct rule. uv differ...

We will split this up and differentiate each part separately.

We can differentiate 4x² using our normal rules for differentiating; we multiply the coefficient by the pow...