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Posts tagged with Calculus

The Calculus Nightmare

March14
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Limits – Feeding the Hungry Tiger!

March14

The following article is a great way to view the idea of Limits and I recommend that you read it before going any further with this topic. It is an excellent concept, adapted from the maths folks in Oregon, USA.Limits or The Tiger is Hungry

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Calculus – Understanding the idea of Limits

March14

Look at this diagram carefully. You should get a sense of what limits are all about. The straight line (in green) between points A and B would be a tangent to the (magenta) curve if it only touched the curve at one point. The idea of limits is to think about Point B moving closer […]

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Calculus = Pebbles!

March13

To bring together the last posts on Calculus you should watch this excellent 3 minute video which sums up what Calculus is all about, while bringing together our Maths friends, Newton and Leibniz:

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Calculus – the Brains Trust

March13

Yes, before we get into the Calculus intro, you will no doubt be thrilled to learn that the two egg-heads below were largely responsible for Calculus. Click on each for links to their bios.  Images from “The Birth of Calculus” on youtube For an even better understanding of the importance of the two gents above, […]

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So…the slope changes on a curved graph

March11

So, you may have figured out that Calculus is quite useful when we are looking at the Mathematics of Change. If you hold your textbook in your hands then that is like standard mathematics…but, if you drop it onto the floor (or your head), then that is Calculus. Yes, Calculus has to do with motion […]

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OK – YOU asked for it…What is Calculus?

March10

Yes, the time has finally come. To misquote from Lewis Carroll’s The Walrus and the Carpenter,  “The time has come,” the Walrus said,  “To talk of complex things:   Of slopes and shapes and tangent lines,   That integration brings;   And how the sea gets boiling hot,   And accelerating things.”     So, what could be more […]

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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