The length of a particular bacteria cell is 1.5×10−7 meters, and the length of a human red blood cell is 9×10−6 meters. How man
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Given
consider substituting to get a proper quadratic equation,
Solve for ; we can factorize to get
Solve for :
The first equation has no real solution, since for all non-zero
. Proceeding with the second equation, we get
If we want to find all complex solutions, we take so that the first equation above would have led us to
We will first find f ` ( x ) using the chain rule:
f ` ( x ) =
f ` ( 0 ) =
Answer: f ` ( 0 ) = 1/√2 ( or: √2/2 )
f ` ( x ) =
f ` ( 0 ) =
Answer: f ` ( 0 ) = 1/√2 ( or: √2/2 )