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Differentiating ln(1+sinx) up to and including the term x³.
Maclaurin for sinx up to x³ term. Sub into Maclaurin for ln(1+x).
How to work out the inverse of a 3×3 matrix?
First work out the determinant. Then work out the cofactor matrix. Then transpose the cofactor matrix. Then multiply that by 1 over the determinant.
What is Σr?
n/2(n+1)
How to find the angle between two planes?
Use cosθ equation.
How to find the angle between a line and a plane?
Use cosθ equation then takeaway answer from 90.
How to work out the cartesian equation of a plane from the vector equation of a plane?
Use the cross product of the direction vectors to get your normal then sub in your general point to get d.
What is cosθ in exponential form?
cosθ=1/2(e^θi + e^-θi)
What is sinθ in exponential from?
sinθ=1/2i(e^θi - e^-θi)
What is the formula for a volume of revolution around the x-axis?
Note
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