Increasing global temperatures raise sea levels by thermal expansion and the melting of polar ice. Precise predictions are difficult, but a United Nations study predicts a rise in sea level (above the 2000 level) of L(x) = 0.02x3 -0.07x2 + 8x centimeters, where x is the number of decades since 2000 (so, for example, x = 2 means the year 2020).+ (Round your answers to two decimal places.) Find L(11). L(11) = x Interpret your answer. By 2110, sea levels may have risen Find L'(11). L'(11) = x Interpret your answer. In 2110 sea levels will be rising Find L"(11). L"(11) = x Interpret your answer. The rise ✔✔✔by this amount. by this amount per decade. in the sea level will be speeding up by this amount per decade per decade.
Increasing global temperatures raise sea levels by thermal expansion and the melting of polar ice. Precise predictions are difficult, but a United Nations study predicts a rise in sea level (above the 2000 level) of L(x) = 0.02x3 -0.07x2 + 8x centimeters, where x is the number of decades since 2000 (so, for example, x = 2 means the year 2020).+ (Round your answers to two decimal places.) Find L(11). L(11) = x Interpret your answer. By 2110, sea levels may have risen Find L'(11). L'(11) = x Interpret your answer. In 2110 sea levels will be rising Find L"(11). L"(11) = x Interpret your answer. The rise ✔✔✔by this amount. by this amount per decade. in the sea level will be speeding up by this amount per decade per decade.
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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![### Understanding Sea Level Rise Predictions
#### Introduction
Increasing global temperatures raise sea levels by thermal expansion and the melting of polar ice. Precise predictions are difficult, but a United Nations study predicts a rise in sea level (above the 2000 level) of \( L(x) = 0.02x^3 - 0.07x^2 + 8x \) centimeters, where \( x \) is the number of decades since 2000 (so, for example, \( x = 2 \) means the year 2020). Round your answers to two decimal places.
#### Sea Level Rise Calculation
##### Problem 1: Find \( L(11) \)
\[ L(11) = \, \, \, \, ? \]
[Input Field]
[X]
**Interpret your answer:**
By 2110, sea levels may have
\[ \text{risen} \quad \, \, \, \, \, [ ] \, \, \, \, \, \text{by this amount}. \]
##### Problem 2: Find \( L'(11) \)
\[ L'(11) = \, \, \, \, ? \]
[Input Field]
[X]
**Interpret your answer:**
In 2110 sea levels will be
\[ \text{rising} \quad \, \, \, \, \, [ ] \, \, \, \, \, \text{by this amount per decade}. \]
##### Problem 3: Find \( L''(11) \)
\[ L''(11) = \, \, \, \, ? \]
[Input Field]
[X]
**Interpret your answer:**
The
\[ \text{rise} \quad \, \, \, \, \, \text{in the sea level will be} \quad \text{speeding up} \quad \, [ ] \, \, \, \, \, \text{by this amount per decade per decade}. \]
#### Conclusion
This exercise helps us understand the rate and acceleration of sea level rise over time, given predictions based on increasing global temperatures. By calculating the given functions \( L(x) \), \( L'(x) \), and \( L''(x) \), we can interpret the extent and change in sea levels over the coming decades. Ensure to round off your answers](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e0cd55c-6f84-412a-ac81-9a79eaea810f%2F37036a59-f7e5-4f88-8521-c22fe961fb2f%2Fb1rj8u_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Sea Level Rise Predictions
#### Introduction
Increasing global temperatures raise sea levels by thermal expansion and the melting of polar ice. Precise predictions are difficult, but a United Nations study predicts a rise in sea level (above the 2000 level) of \( L(x) = 0.02x^3 - 0.07x^2 + 8x \) centimeters, where \( x \) is the number of decades since 2000 (so, for example, \( x = 2 \) means the year 2020). Round your answers to two decimal places.
#### Sea Level Rise Calculation
##### Problem 1: Find \( L(11) \)
\[ L(11) = \, \, \, \, ? \]
[Input Field]
[X]
**Interpret your answer:**
By 2110, sea levels may have
\[ \text{risen} \quad \, \, \, \, \, [ ] \, \, \, \, \, \text{by this amount}. \]
##### Problem 2: Find \( L'(11) \)
\[ L'(11) = \, \, \, \, ? \]
[Input Field]
[X]
**Interpret your answer:**
In 2110 sea levels will be
\[ \text{rising} \quad \, \, \, \, \, [ ] \, \, \, \, \, \text{by this amount per decade}. \]
##### Problem 3: Find \( L''(11) \)
\[ L''(11) = \, \, \, \, ? \]
[Input Field]
[X]
**Interpret your answer:**
The
\[ \text{rise} \quad \, \, \, \, \, \text{in the sea level will be} \quad \text{speeding up} \quad \, [ ] \, \, \, \, \, \text{by this amount per decade per decade}. \]
#### Conclusion
This exercise helps us understand the rate and acceleration of sea level rise over time, given predictions based on increasing global temperatures. By calculating the given functions \( L(x) \), \( L'(x) \), and \( L''(x) \), we can interpret the extent and change in sea levels over the coming decades. Ensure to round off your answers
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