open query 11

course mth 151

011. `Query 11*********************************************

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

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

Always 1

confidence rating: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

.............................................

Given Solution:

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

The result is always 1. **

&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&

Self-critique (if necessary):

------------------------------------------------

Self-critique Rating:

*********************************************

Question: `qQuery 1.4.30 sqr of neg gives what?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

Positive number

confidence rating: 2

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

.............................................

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. **

&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&

Self-critique (if necessary):

------------------------------------------------

Self-critique Rating:

*********************************************

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

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

You would need at least 12 drawers, but this one has 18 compartments and it has 11 drawers to hold 198 of the 204 tapes.

confidence rating:

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

.............................................

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. **

"

&#This looks good. Let me know if you have any questions. &#