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Further Mathematics
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It is given that z = 3i(7-i)(i+1). Show that z can be written in the form 24i - k. State the integer k.

z = 3i(7-i)(i+1)= 3i(7i-i+7-i2 )= 3i(6i+8)= 18i2 +24 (1 method mark)= 24i-18 (1 method mark)k=18 (1 answer mark)

DT
2299 Views

Prove that ∑(1/(r^2 -1)) from r=2 to r=n is equal to (3n^2-n-2)/(4n(n+1)) for all natural numbers n>=2.

To prove the above statement we will be using proof by induction as this is the easiest way to prove that the statement holds for all natural numbers n>=2. Firstly, when proving by induction there are ...

SP
4112 Views

A curve has polar equation r = 1 + cos THETA for 0 <= THETA <= 2Pi. Find the area of the region enclosed by the curve

Whiteboard answer

RC
2712 Views

What are the conditions required for the poisson distribution?

Events must be random and independent of each other. There must be a uniform rate of occurance.

EO
2590 Views

Find the coordinates of the stationary points on the curve y=x^5 -15x^3

dy/dx = 5x4-45xby multiplying each term by the power and then decreasing the power by oneAt stationary points, dy/dx=0 since the function is neither increasing nor decreasing at a ...

SD
5495 Views

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