Concept explainers
The number
where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by
Where
a. Find
b. Find the time when the bacteria count reaches 1000.
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- Dialysis A model that estimates the concentration of urea in the body for a particular dialysis patient, following a dialysis session is given by C(t,g)=0.6(0.96)(210t/1500)1+gt126t900[1(0.96)(210t/1500)1]. 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. Source: Clinical Dialysis. a. Find C(180,8). b. Using the total differential, estimate the urea concentration if the dialysis session of part was cut short by 10 minutes and the urea generation rate was 9 mg per minute. Compare this with the actual concentration. Hint: First, replace the variable g with the number 8, this reducing the function to one variable. Then use your graphing calculator to calculate the partial derivatives Ct(180,8). A similar procedure can be done for Cg(180,8).) c. d.arrow_forwardThe number N of bacteria in a refrigerated food is given by NT=8T214T+200,2T12 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by Tt=2t+2,0t5 where t is the time in hours. a. Find (NT)t. b. Find the time when the bacteria count reaches 1000.arrow_forward
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