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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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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) - ...

It is important we first define what we mean by an odd and even number.
An even number is any integer (whole number) number divisible by 2 so we can express any even number as 2x...

a^2 + b^2 = c^2