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How would we calculate the distance covered by a train that starts at rest, then accelerates to 5km/hr in 30 mins then stays at this constant speed for 12 minutes?

I would draw the situation Then use bring out the relevant SUVAT equationsI would explain how the equations work to give the student some intuitionThen carry out the problem step by stepThen I would ask i...

HL
Answered by Harrison L. Physics tutor
2010 Views

How do you translate the graph y = x^2, five unit squares negatively horizontally and 3 unit squares positively vertically?

Start again by drawing the graph and then the translated graphExplain what is meant by a translation ( a movement of the graph )Use a table of values to show how we can change the function to allow for di...

HL
Answered by Harrison L. Maths tutor
3267 Views

How do you find the stationary points of a graph?

Start by drawing an example graph which contains stationary points, use this to explain what a stationary point is. Explain how we could manipulate the graph to identify these points (explaining different...

HL
Answered by Harrison L. Maths tutor
3083 Views

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 constan...

KI
11883 Views

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 ...

TD
Answered by Tudor D. Maths tutor
4118 Views

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