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Say you have the term y=3X² . You start by bringing the power down and placing it in front of the 3 so they multiply like so y=2x3X² then next you take one away from the power like s...

(a) The factor theorem states that: the polynomial f(x) has a factor (x - a) if and only if f(a) = 0.Use that information, we know that (x + 3) is a factor of p(x) if p(-3) = 0. So let's test it:p(-3) = 2...

The critical path is the path from the start to the end event continuously, with the end of one activity forming the start of the next. There is zero float and the project will be completed in the minimum...

The chain rule is given by dy/dx= (dy/du)(du/dx). If we set u=6+2x+2x²then, y=u³ thus, dy/dx=(3u²)(2+4x) = (3(6+2x+2x²)²)(2+4x). Example does not ask...

Firstly, an expression for dy/dx needs to be found to allow us to find the gradient of the normal. As a normal is a straight line, the equation y-y₁=m(x-x₁) can be used to find its e...