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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 if t...
HL
Answered by Harrison L. • Physics tutor
2277 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 diffe...
HL
Answered by Harrison L. • Maths tutor
3613 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 differentiat...
HL
Answered by Harrison L. • Maths tutor
3376 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 constant.N...
KI
12787 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 of ...
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Answered by Tudor D. • Maths tutor
4573 Views