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There are 2 methods we can use here.

Method 1 - Factorisation

If we can rewrite the equation so that it looks like (x+a)*(x+b)=0, where 'a' and 'b' are numb...

X²+3X+5X+15

Take the first X in the first bracket and multiply by every number or letter in the second bracket.

Take the Second number in the first bracket and mu...

8x³-12x²-2x+D...(1)

2x+1...(2)

Assume 2x+1=0 so x=-1/2

8x³-12x²-2x+D=-2... when divided by (2)

substi...

To answer this question we require the chain rule, which states that dy/dx=(dy/du)*(du/dx)

To use this formula in our question, we can let y=ln(sin(3x))=ln(u) where u=sin(3x)

<...

First, write the line in vector form r=(1 1 1) + t(1 2 -1). Consider a point P on the line such that the line connecting P and A is perpendicular to L. The vector P->A is (2 3 4) - (1 1 1) - ...