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Prove by mathematical induction that 2^(2n-1) + 3^(2n-1) is divisible by 5 for all natural numbers n.

First check that this works for n=1:2^(2x1 - 1) + 3^(2x1 - 1) = 2^1 +3^1 = 5 (so true for n=1)Now we assume this to work for any n = k.Assumption: 2^(2k-1) + 3^(2k-1) = 5a, where a is some integer constant.N...
KI
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How do you sketch the graph of a function?

To sketch a graph, you can follow the steps below, spiking some of them if not needed or not applicable:0 Clean up the function (makes following steps easier).1 Determine the maximum domain of definition of ...
TD
Answered by Tudor D. • Maths tutor
4732 Views

Explain how partial pressure of oxygen affects how oxygen binds to haemoglobin in different areas of the body.

In the lungs, the partial pressure of oxygen is high therefore haemoglobin readily binds to the oxygen. This causes the haemoglobin to undergo a conformational change and increase its affinity for oxygen so ...
VA
Answered by Vinisha A. • Biology tutor
6766 Views

Describe 3 ways in which built-in obsolescence affects the society.

As some products are designed with a limited lifespan, companies can use cheaper parts for their production.Repairing products is often more expensive than replacing them, which has caused the society to gro...
SA
2767 Views

How can the integrating factor method be derived to give a solution to a differential equation?

Consider the general equationdy/dx + Py = Qwhere P and Q are functions of x.R (which will be introduced later) is also a function of x. So, all of a sudden, we are going to just state the product rule.We can...
JH
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