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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-i 2 )= 3i(6i+8)= 18i 2 +24 (1 method mark)= 24i-18 (1 method mark)k=18 (1 answer mark)
DT
2643 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 thr...
SP
4651 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
3272 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
3062 Views

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

dy/dx = 5x 4 -45x 2 by 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 stationary point5x 4 -...
SD
5883 Views