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2 unit maths revision (1 Viewer)

hscishard

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You need to split the area into two integrals. Take one of them with abs value maybe.
Oh yea. Didn't think that 1.5 is less than e. Still, you won't have equal strip widths for this question. This questions pretty hard

Anyway your fav question:
Evaluate: |x^2-4|= -1
 

SpiralFlex

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Thank you Matthew Goodwin, you're my hero!
And SpiralFlex, are you doing maths accelerated o.o.
How come you know how to do this...

I'll continue the questions so I don't seem like a whore.
The distance between the sun and the earth is approximately . The sun subtends an angle of approximately at a point on the earth. Calculate the approximate diameter of the sun.

No, I am not doing acceleration. I did three unit in Year 9-10 (not the course), I was bored.
 
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Existential

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on a slightly related topic, what 2U topic are we all studying and how many HSC 2U topics have we all done so far?
 
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slyhunter

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New question.

Show that the volume of the cone generated when the line y=mx is rotated about the x-axis over the interval from x=0 to x=h, where h is the height of the cone, is
 
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<a href="http://www.codecogs.com/eqnedit.php?latex=\int_{-1}^{0}x(x- 1)(x @plus; 1)dx" target="_blank"><img src="http://latex.codecogs.com/gif.latex?\int_{-1}^{0}x(x- 1)(x + 1)dx" title="\int_{-1}^{0}x(x- 1)(x + 1)dx" /></a>

by expanding the brackets where necessary, evaluate the following definite integral
 
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okay maybe that was too easy haha
what about:
a) show that <a href="http://www.codecogs.com/eqnedit.php?latex=\int_{2}^{k}3dx=3k -6" target="_blank"><img src="http://latex.codecogs.com/gif.latex?\int_{2}^{k}3dx=3k -6" title="\int_{2}^{k}3dx=3k -6" /></a>

b) hence find the value of k if<a href="http://www.codecogs.com/eqnedit.php?latex=\int_{2}^{k}3dx=18" target="_blank"><img src="http://latex.codecogs.com/gif.latex?\int_{2}^{k}3dx=18" title="\int_{2}^{k}3dx=18" /></a>
 

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