A chemistry student heats a beaker that is at room temperature (30 °C)by inserting it in an oven that has been preheated to 250 °C. If u is the temperature of the beaker in °C, what is the appropriate equation to model the temperature of the beaker. O du/dt = k(30 - u) O du/dt k(250 – u) O du/dt = k(u – 250) %3D O du/dt = k(u – 30) %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A chemistry student heats a beaker that is at room
temperature (30 ° C)by inserting it in an oven that has
been preheated to 250 ° C. If u is the temperature of
the beaker in °C, what is the appropriate equation to
model the temperature of the beaker.
O du/dt = k(30 – u)
%D
O du/dt = k(250 – u)
O du/dt = k(u - 250)
O du/dt =
k(u – 30)
Transcribed Image Text:A chemistry student heats a beaker that is at room temperature (30 ° C)by inserting it in an oven that has been preheated to 250 ° C. If u is the temperature of the beaker in °C, what is the appropriate equation to model the temperature of the beaker. O du/dt = k(30 – u) %D O du/dt = k(250 – u) O du/dt = k(u - 250) O du/dt = k(u – 30)
In the food industry, a quantity called decimal time is
used instead of half-life. The decimal time is the amount
of time required for 10% of the original quantity to be
remaining. If x is the amount of the bacteria is the
dx
amount of bacteria in a food,
dt
kr and the half-
life for the bacteria is 20 min, what is the decimal time
of the bacteria?
O 100 min
O 66.4
О 34 min
154 min
Transcribed Image Text:In the food industry, a quantity called decimal time is used instead of half-life. The decimal time is the amount of time required for 10% of the original quantity to be remaining. If x is the amount of the bacteria is the dx amount of bacteria in a food, dt kr and the half- life for the bacteria is 20 min, what is the decimal time of the bacteria? O 100 min O 66.4 О 34 min 154 min
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