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Prove by mathematical induction that 11^n-6 is divisible by 5 for all natural numbers n

First I would do the base case (the first value):Test n=1,11¹-6=5. 5 is divisible by 5 therefore true for n=1.
Now we assume true for n=k,11^k-6 is divisible by 5.Next we test n=...

Answered by • Further Mathematics tutor

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∫ x^3 *ln(2x) (from 2->1) can be written in the form pln 2 + q, where p and q are rational numbers. Find p and q.

Firstly I would think about how I could integrate this. In this case you would need integrate by parts. I use LATE to decide which value is u and v' which stands for Log,Algebra,Trig,Exp. Which ever one a...

Answered by • Maths tutor

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Use differentiation to show the function f(x)=2x^3–12x^2+25x–11 is an increasing function for all values of x

Firstly, I would remember what differentiation shows - which is the rate of change of a function. I would think about how I could use this to show it's always increasing. Now the first derivative would sh...

Answered by • Further Mathematics tutor

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Inwiefern ist der Kölner Dom ein bedeutendes Bauwerk?

Der Kölner Dom ist die größte gotische Kirche in Europa und hat die größte Kirchfassade der Welt. Aber der Dom ist nicht nur groß, sondern auch besonders alt. Sein Bau wurde 1248 begonnen und erst 1880 vo...

Answered by Fiona P. • German tutor

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