Difference between revisions of "1950 AHSME Problems/Problem 11"
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[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
Revision as of 08:32, 29 April 2012
Problem
If in the formula 
, 
is increased while 
, 
and 
are kept constant, then 
:
Solution
Assume that the constants are positive, as well as 
WLOG let 
and all equal 
Then 
We can see that as increases from 
it slowly approaches Therefore, 
If and were positive and was negative, then would decrease, for example.
See Also
| 1950 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
