- #1
semidevil
- 157
- 2
I don't remember the exact story problem, but it goes something like this.
You are suppose to make a pin that is 6 cm long. Unfortunately, the machine will produce pins that 6 + y cm long. where 0 <= y <= 2, and the function f(y) = K(y + y^2).
if the pin is more then 7 cm long, then it is unusable. Find the proportion that is produced that will be unusable.
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ok, so if y = 0, or y = 1, then it is fine, and if y = 2, then it is unusable.
so can I just integrate from 0 to 1 of f(y), and then subtract from 1, to get the answer?
the book says the answer is 23/28...but I don't know how it got that.
You are suppose to make a pin that is 6 cm long. Unfortunately, the machine will produce pins that 6 + y cm long. where 0 <= y <= 2, and the function f(y) = K(y + y^2).
if the pin is more then 7 cm long, then it is unusable. Find the proportion that is produced that will be unusable.
------------------------------------------------------------------------
ok, so if y = 0, or y = 1, then it is fine, and if y = 2, then it is unusable.
so can I just integrate from 0 to 1 of f(y), and then subtract from 1, to get the answer?
the book says the answer is 23/28...but I don't know how it got that.