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From the binomial theorem we know that the x^3 term in the expansion of the above expression must satisfy,
4C3 * (3x)^3 * a = 216x^3.
Hence, after multiplying out we must have,
108a * x^...

Remember that with matrix multiplication, "A times B" does not usually equal "B times A". If we take our 'matrix X' and transform it by 'matrix A'. We perform this transformation by ca...

The length of an arc between two points on a curve can be calculated in two ways; as the integral of ((dy/dx)^2 + 1)^1/2 between the values of the points, or as the integral of ((dy/dt)^2+(dx/dt)^2)^1/2 b...

Differentiate: 2x + 3.Substitute for x=5: 2(5) + 3Answer =13.

Invert the translation of (2,3) to get the parabola passing through the point (4,7)-(2,3)=(2,4). This is the same as saying that y=4 when x=2, substitute this into your equation y^2=4ax to get a=2.This wi...