Assignment 11

course Mth 151

?P????~????????assignment #011?w?????}??yO?????Liberal Arts Mathematics I

Your work has been received. Please scroll through the document to see any inserted notes (inserted at the appropriate place in the document, in boldface) and a note at the end. The note at the end of the file will confirm that the file has been reviewed; be sure to read that note. If there is no note at the end, notify the instructor through the Submit Work form, and include the date of the posting to your access page.

07-02-2006

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13:06:34

Query 1.4.24 1 to any power is what?

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RESPONSE -->

1

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13:06:47

** The meaning is 1^2, 1^3, 1^4. We take a power of the base.

The result is always 1. **

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RESPONSE -->

ok

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13:09:37

Query 1.4.30 sqr of neg gives what?

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RESPONSE -->

My four-function calculator says there is an error and my graphing calculator gives me something like this: 0,1.7320808 and 0,2.2360679775. My first guess is to say that the square of a negative gives a really big number or that it is impossible to do.

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13:10:16

** The square root of a negative will often give you an error (what can you square to get a negative, since any number squared is positive?), but on certain calculators it gives a complex number (actually two complex numbers). These are not real numbers; for the purposes of this course there is no real square root of a negative number.

There is no real number that can be squared to give a negative. If you square a negative number you get a negative times a negative, which is positive. If you square a positive number you get a positive number. So a negative number has no real square root. **

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RESPONSE -->

Good.

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13:11:44

Query 1.4.42 drawer has 18 compartments; how many drawers to hold 204 tapes?

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RESPONSE -->

If you divide 204 by 18 it gives you 11.33333, so the guy will need 12 drawers.

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13:11:52

** 204 / 18 = 11 with remainder 6. If we had 11 drawers they would hold all but 6 of the tapes.

The leftover tapes also have to go into a drawer, so we need a 12th drawer. **

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RESPONSE -->

ok

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Your work on this query looks good.