Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Let's analyze the given function [tex]\( s = \frac{300}{d} \)[/tex].
1. Understanding the function:
- [tex]\( s \)[/tex] represents the speed of the current in the whirlpool.
- [tex]\( d \)[/tex] represents the distance from the center of the whirlpool.
2. Behavior as [tex]\( d \)[/tex] changes:
- As you move closer to the center of the whirlpool, the distance [tex]\( d \)[/tex] approaches 0.
3. Analyzing the limit as [tex]\( d \)[/tex] approaches 0:
- We need to find the limit of the function [tex]\( s \)[/tex] as [tex]\( d \)[/tex] approaches 0.
- Mathematically, we are looking for:
[tex]\[ \lim_{{d \to 0}} \frac{300}{d} \][/tex]
4. Evaluating the limit:
- As [tex]\( d \)[/tex] gets smaller and smaller (approaches 0), the denominator of the fraction becomes very small.
- When we divide a constant number (like 300) by a very small number, the result becomes very large.
- Hence, as [tex]\( d \)[/tex] approaches 0, [tex]\( \frac{300}{d} \)[/tex] increases without bound.
5. Conclusion:
- The speed [tex]\( s \)[/tex] approaches infinity as [tex]\( d \)[/tex] approaches 0.
Therefore, the correct statement is:
- As you move closer to the center of the whirlpool, the speed of the current approaches infinity.
1. Understanding the function:
- [tex]\( s \)[/tex] represents the speed of the current in the whirlpool.
- [tex]\( d \)[/tex] represents the distance from the center of the whirlpool.
2. Behavior as [tex]\( d \)[/tex] changes:
- As you move closer to the center of the whirlpool, the distance [tex]\( d \)[/tex] approaches 0.
3. Analyzing the limit as [tex]\( d \)[/tex] approaches 0:
- We need to find the limit of the function [tex]\( s \)[/tex] as [tex]\( d \)[/tex] approaches 0.
- Mathematically, we are looking for:
[tex]\[ \lim_{{d \to 0}} \frac{300}{d} \][/tex]
4. Evaluating the limit:
- As [tex]\( d \)[/tex] gets smaller and smaller (approaches 0), the denominator of the fraction becomes very small.
- When we divide a constant number (like 300) by a very small number, the result becomes very large.
- Hence, as [tex]\( d \)[/tex] approaches 0, [tex]\( \frac{300}{d} \)[/tex] increases without bound.
5. Conclusion:
- The speed [tex]\( s \)[/tex] approaches infinity as [tex]\( d \)[/tex] approaches 0.
Therefore, the correct statement is:
- As you move closer to the center of the whirlpool, the speed of the current approaches infinity.
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.