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Experiments conducted by A. J. Clark suggest that the response R(x) of a frog's heart muscle to the injection of x units of acetylcholine (as a percent of the maximum possible effect of the drug) may be approximated by the rational function
Experiments conducted by A. J. Clark suggest that the response R(x) of a frog's heart muscle to the injection of x units of acetylcholine (as a percent of the maximum possible effect of the drug) may be approximated by the rational function ​   ​ where b is a positive constant that depends on the particular frog. If a concentration of 20 units of acetylcholine produces a response of 40% for a certain frog, find the  response function  for this frog.
where b is a positive constant that depends on the particular frog. If a concentration of 20 units of acetylcholine produces a response of 40% for a certain frog, find the "response function" for this frog.


Definitions:

Hedge Fund Fees

The charges that hedge funds impose on their investors, typically comprising a management fee and a performance fee.

Carry

In finance, the cost or benefit associated with holding a financial position, such as the interest expense on borrowed funds or the yield earned on deposits.

AUM

Assets Under Management, representing the total market value of the investments a financial institution manages on behalf of clients.

Hedge Fund Fees

Charges associated with investing in a hedge fund, often including a management fee and a performance fee.

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