Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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please with explanation because i want to understand how you solve it and thank you!!!

**Problem Statement:** A certain RNA molecule replicates every 10 minutes. Find the differential equation for the number \( N(t) \) of molecules present at time \( t \) (in minutes). *(Express numbers in exact form. Use symbolic notation and fractions where needed.)* --- **Solution Attempt:** \( N'(t) = \frac{1}{2} \) *Feedback: Incorrect* --- **Explanation:** The task requires finding the differential equation for the replicating RNA molecules. A common form for such a differential equation, assuming exponential growth due to constant replication rate, would be \( N'(t) = kN(t) \), where \( k \) is the growth rate. The incorrect answer provided suggests a misunderstanding in how to represent the replication rate.
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Transcribed Image Text:**Problem Statement:** A certain RNA molecule replicates every 10 minutes. Find the differential equation for the number \( N(t) \) of molecules present at time \( t \) (in minutes). *(Express numbers in exact form. Use symbolic notation and fractions where needed.)* --- **Solution Attempt:** \( N'(t) = \frac{1}{2} \) *Feedback: Incorrect* --- **Explanation:** The task requires finding the differential equation for the replicating RNA molecules. A common form for such a differential equation, assuming exponential growth due to constant replication rate, would be \( N'(t) = kN(t) \), where \( k \) is the growth rate. The incorrect answer provided suggests a misunderstanding in how to represent the replication rate.
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