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What are Taylor series used for?

If you wanted to program a function into a computer, it knows how to calculate polynomials but not any function that you put into it. For example, it won't know what to calculate for sin(x), but it would kno...
TS
3306 Views

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
2624 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
4613 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
3255 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
3044 Views