d'T At a certain moment, the temperature in a snake cage satisfies = 0.008 °C/s. Estimate the rise in temperature over the dt next 14 s. (Use decimal notation. Give your answer to three decimal places.) ΔΤ ~ °C
d'T At a certain moment, the temperature in a snake cage satisfies = 0.008 °C/s. Estimate the rise in temperature over the dt next 14 s. (Use decimal notation. Give your answer to three decimal places.) ΔΤ ~ °C
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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![**Temperature Change Calculation**
At a certain moment, the temperature in a snake cage satisfies the equation:
\[
\frac{dT}{dt} = 0.008 \, \text{°C/s}.
\]
Estimate the rise in temperature over the next 14 seconds.
(Use decimal notation. Give your answer to three decimal places.)
\[
\Delta T \approx \, \boxed{\, \, \, } \, \text{°C}
\]
*[Note: The equation \(\frac{dT}{dt} = 0.008 \, \text{°C/s}\) describes the rate of change of temperature over time. By integrating this derivative over the given time interval of 14 seconds, you can find the total temperature change \(\Delta T\).]*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe70156d-6630-4fa1-bd10-160edc6ae6ae%2F3f6d330c-42a0-4d69-b8db-599db45eeecb%2F1tuee8p_processed.png&w=3840&q=75)
Transcribed Image Text:**Temperature Change Calculation**
At a certain moment, the temperature in a snake cage satisfies the equation:
\[
\frac{dT}{dt} = 0.008 \, \text{°C/s}.
\]
Estimate the rise in temperature over the next 14 seconds.
(Use decimal notation. Give your answer to three decimal places.)
\[
\Delta T \approx \, \boxed{\, \, \, } \, \text{°C}
\]
*[Note: The equation \(\frac{dT}{dt} = 0.008 \, \text{°C/s}\) describes the rate of change of temperature over time. By integrating this derivative over the given time interval of 14 seconds, you can find the total temperature change \(\Delta T\).]*
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