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Posts tagged with Calculus

The Power Rule – Pt II and simpler :-)

March15
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The Power Rule – Pt I

March15
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Calculus on Steroids – Differentiation from Scratch!

March15

Don’t worry – nobody will worry too much if you can’t follow this diagram and working. It’s here for the geeks, and those who really have to know WHY differentiation works. What do we mean by Differentiation? Simply, how to find the gradient of that straight line at any point on the curve. (It does […]

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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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Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

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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