Query 11

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course Mth 151

011. `Query 11

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Question: `qQuery 1.4.24 1 to any power is what?

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Your solution: 1

confidence rating #$&*: 3

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Given Solution:

`a** 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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Self-critique (if necessary): ok

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Self-critique Rating: 3

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Question: `qQuery 1.4.30 sqr of neg gives what?

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Your solution: Gives you complex numbers, since you nothing squared yields a negative.

confidence rating #$&*: 3

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Given Solution:

`a** 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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Self-critique (if necessary): ok

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Self-critique Rating: 3

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Question: `qQuery 1.4.42 drawer has 18 compartments; how many drawers to hold 204 tapes?

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Your solution: 12

confidence rating #$&*: 3

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Given Solution:

`a** 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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Self-critique (if necessary):

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Self-critique rating:

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Question: `qQuery 1.4.42 drawer has 18 compartments; how many drawers to hold 204 tapes?

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Your solution: 12

confidence rating #$&*: 3

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Given Solution:

`a** 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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Self-critique (if necessary):

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Self-critique rating:

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&#Very good work. Let me know if you have questions. &#