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Author Topic: iamdan08's spec questions  (Read 12022 times)  Share 

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iamdan08

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iamdan08's spec questions
« on: March 22, 2009, 04:38:39 pm »
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Hey guys,
This is a question from calculus 1 but i figure it can probably fit in this board. I got a bit lost when the lecturer was explaining how to do this.


State the implied domain and range of the following:




Cheers
« Last Edit: March 26, 2009, 02:11:17 pm by iamdan08 »
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kamil9876

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Re: Implied domain & range
« Reply #1 on: March 22, 2009, 07:08:34 pm »
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So the range of this function is the same as the range of tan(u) where u is . The range is therefore from negative infinity to positive infinity (sorry, don't know what is infinity in latex).

Edit: You must make sure that u does not equal or . u equals these two numbers when arcsin is and . This happens when x is and  so your domain must be
« Last Edit: March 22, 2009, 07:16:12 pm by kamil9876 »
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iamdan08

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Re: Implied domain & range
« Reply #2 on: March 22, 2009, 08:09:40 pm »
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awesome. cheers!
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iamdan08

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Re: iamdan08's spec questions
« Reply #3 on: March 26, 2009, 02:16:47 pm »
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Hey guys i have a question regarding vectors. I can't seem to get my head around how to do it:

A square ABCD in contains the origin (0,0). We know that A has coordinates (-1,-3) and B has coordinates (4,-2). what are the coordinates of the remaining vertices.

If anyone could explain how to do it, it would be much appreciated!

Cheers  :)
« Last Edit: March 26, 2009, 02:18:21 pm by iamdan08 »
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kamil9876

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Re: iamdan08's spec questions
« Reply #4 on: March 26, 2009, 07:30:14 pm »
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The convention ABCD implies that A is connected to B, B is connected to C, C to D and D to A.

and

This is a good start.

Also: just noticed that it's a square, so use equal magnitudes of all sides to help u out.
« Last Edit: March 26, 2009, 07:37:48 pm by kamil9876 »
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Re: iamdan08's spec questions
« Reply #5 on: March 26, 2009, 08:40:34 pm »
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Quote from: iamdan08 on March 26, 2009, 02:16:47 pm
Hey guys i have a question regarding vectors. I can't seem to get my head around how to do it:

A square ABCD in contains the origin (0,0). We know that A has coordinates (-1,-3) and B has coordinates (4,-2). what are the coordinates of the remaining vertices.

If anyone could explain how to do it, it would be much appreciated!

Cheers  :)


AB has a vector (5i + j)

You wish to have a vector ai + bj such that (5i+j).(ai+bj) = 0 (dot product, right angles) and
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iamdan08

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Re: iamdan08's spec questions
« Reply #6 on: March 27, 2009, 04:39:14 pm »
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Awesome, finally got it! Thanks
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iamdan08

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Re: iamdan08's spec questions
« Reply #7 on: April 03, 2009, 04:57:45 pm »
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Another question...

Let u=(2,1,-3) and v=(1,4,2) be vectors in . calculate:

The scalar projection of u on v.

I'm getting an answer of 0 and i just wanted to check if this was correct? Any help would be appreciated.  :)
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Re: iamdan08's spec questions
« Reply #8 on: April 04, 2009, 12:16:06 am »
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hence the scalar projection is 0 :) [there can be no scalar projection if they are perpendicular]
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iamdan08

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Re: iamdan08's spec questions
« Reply #9 on: April 04, 2009, 11:20:47 am »
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Awesome. That makes sense! Cheers
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iamdan08

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Re: iamdan08's spec questions
« Reply #10 on: April 16, 2009, 10:04:00 am »
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I have another question:

A spherical balloon is inflated by blowing of air into it every 5 seconds. What is the rate of change of the volume of the balloon (in ), at the moment when the radius is 5cm?

Is it just /s???

Thanks  :)
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Re: iamdan08's spec questions
« Reply #11 on: April 16, 2009, 10:11:45 am »
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hmmm i'd imagine so because the radius has no effect on this question =]
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Re: iamdan08's spec questions
« Reply #12 on: April 16, 2009, 10:56:17 am »
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iamdan08

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Re: iamdan08's spec questions
« Reply #13 on: April 16, 2009, 06:57:33 pm »
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how does dr/dt=200?
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Edmund

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Re: iamdan08's spec questions
« Reply #14 on: April 16, 2009, 07:08:00 pm »
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dr/dt is rate of change of radius with respect to time, which is 200

Im not sure...
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