The scale on a map is 1 : 500000 Two towns are 7cm apart on the map
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Remember property of exponents
add exponents of same base
ok so
50,000 is 5 times 10^4
so
50000 times 10^15=
5 times 10^4 times 10^15=
5 times
=
5 times 10^19
add exponents of same base
ok so
50,000 is 5 times 10^4
so
50000 times 10^15=
5 times 10^4 times 10^15=
5 times
5 times 10^19
Given that , we have
, so that
Take the derivative and find the critical points of :
Take the second derivative and evaluate it at the critical point:
Since is positive for all
, the critical point is a minimum.
At the critical point, we get the minimum value .