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The differential of f(x) is f'(x)=6x+2 because we apply this basic formula: the differential of kxⁿ = knx^n-1 where k is a constant.This ...

Firstly, look at the number in front of the x term. This is 5Then look at the number at the end without an x term. This is 6.What 2 numbers would add to make 5, and multiply to make 6?? + ? = 5 ? x ?=6Thi...

Derive an inequality for the area. 1) As area = width * length then area is 4x * (x+3). 2) Area is less than ( < ) 112 so inequality is 4x* (x+3) < 112. 3) Expan...

15 = 5^x, we can easily solve this equation by using logs on either side which will give us: log15 = x log 5. Then by solving this for x, we get the result of 1.68 to two decimal places.

For this question we need to remember that the equation to calculate the area of a circle is pi times the radius squared. The radius of a circle is half it's diameter, therefore the radius of the semi-cir...