A model that estimates the concentration of urea in the body for a particular dialysis patient, following

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A model that estimates the concentration of urea in the body for a particular dialysis patient, following a dialysis session, is given by

where t represents the number of minutes of the dialysis session and g represents the rate at which the body generates urea in mg per minute.

(a) Find C(180, 8).
(b) Using the total differential, estimate the urea concentration if the dialysis session of part (a) was cut short by 10 minutes and the urea generation rate was 9 mg per minute. Compare this with the actual concentration.

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