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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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Enzymes are biological catalysts. They speed up reactions although they are not changed in the reaction. Enzymes are proteins, and therefore are folded chains of amino acids with a specific shape. This...