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Prove that 27(23^n)+17(10^2n)+22n is divisible by 11 for n belongs to the natural numbers

Proofs come in many shapes and sizes but this one is done via induction. When doing proof by induction, examiners love a list of a clear definite list of steps, the first being the base case, in t...

2219 Views

Describe the differences and similarities between osmosis and diffusion (4 marks)

Similarities:neither require energyboth move particles from a high concentration to a low concentration area
differences:Osmosis requires a partially permeable memberonly water moves by osmosis but l...

BW
Answered by Brian W. Biology tutor
2622 Views

Differentiate y=x^2+4x+12

y=x^2+4x+12dy/dx=2x+4

RH
Answered by Robert H. Maths tutor
2893 Views

Calculate (7-i*sqrt(6))*(13+i*sqrt(6))

We expand the parentheses to get to the equation: 713-13isqrt(6)+7isqrt(6)-iisqrt(36) which after some further calculations equals to: 91-6isqrt(6)+sqrt(36) [We got...

Answered by Maths tutor
2762 Views

Why is the derivative of ln(x) equal to 1/x.

This fact can be deduced several ways, and I would encourage tutees to find other methods, (such as using implicit differentiation, or the chain rule.) However one of the simplest explanations is given be...

CV
Answered by Christopher V. Maths tutor
6852 Views

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