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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...

At first as the car is on the top of the hill, it has GRAVITATIONAL POTENTIAL ENERGY

As the car rolls down the hill, GRAVITATIONAL POTENTIAL ENERGY changes to KINETIC ENERGY.

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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)

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