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
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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Question
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9fbbe7c6-1db2-4c78-ae01-cf9fe9952c21%2F8859e854-a3ee-4ca1-a473-6c6cebce4667%2Famqo3d_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9fbbe7c6-1db2-4c78-ae01-cf9fe9952c21%2F8859e854-a3ee-4ca1-a473-6c6cebce4667%2Fa9i86ti_processed.jpeg&w=3840&q=75)
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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