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Posts tagged with Newton

Calculus – the language of the stars!

June9

“Mathematics is the language of the stars! It was Sir Isaac Newton who worked out a way to mathematically calculate the changing motion of the planets, etc. Sir Isaac Newton, when pondering the motions of Halley’s Comet, came to the realization that the math that had been used thus far to describe physical motion of […]

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New Tools to Explain old Newton Equations

May5

One of history’s great geniuses, Isaac Newton (yes, the mathematician with the curly hair sitting under the apple tree), developed differential equations in the 1600s. But we aren’t all geniuses, so here’s the definition given in Differential Equations for Dummies (caution – this link downloads over 300 pages!) such equations “involve derivatives, which specify how […]

Science needs Mathematics!

January31

You might say, “Of course Science needs Mathematics, just as cars need engines.” In some ways, Mathematics is the glue that holds Science together. Mathematics powers the Sciences! This begs the question – “Does Mathematics need the Sciences?” “Mathematics is used in Physical Science for measurements and to show relationships. Arithmetic consists of simple operations […]

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The Mathematics of Roller Coaster Loops

March29

Now, I have a confession to make. Yes, it’s true dear H3 readers – a few years ago, while visiting Disneyland, my tech crew were keen to try out one of the roller coasters. I mentioned to them that it might not be a good idea as we had just had breakfast (so you may […]

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Learning Formulae is just Brain Clutter!

November16

The student just wants to learn the formula and use this to get a correct solution and an “A” on their report. But, is this really learning? This article, from The University of Utah Math Department provides a compelling reason to NOT learn the formulae (or, “At least not rely only on learning the formula“- […]

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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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Post Support

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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