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(6). L(6) = Interpret your answer. By 2060, sea levels may have ---Select---by this amount. Find L'(6). L'(6) = Interpret your answer. In 2060 sea levels will be ---Select---by this amount per decade. Find L"(6). L"(6) = Interpret your answer. The ---Select--- in the sea level will be --Select--- 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(6). L(6) = Interpret your answer. By 2060, sea levels may have ---Select---by this amount. Find L'(6). L'(6) = Interpret your answer. In 2060 sea levels will be ---Select---by this amount per decade. Find L"(6). L"(6) = Interpret your answer. The ---Select--- in the sea level will be --Select--- by this amount per decade per decade.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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.)
**Find \( L(6) \).**
\( L(6) = \_\_\_\_\_\_ \)
Interpret your answer.
By 2060, sea levels may have ---Select--- by this amount.
**Find \( L'(6) \).**
\( L'(6) = \_\_\_\_\_\_ \)
Interpret your answer.
In 2060 sea levels will be ---Select--- by this amount per decade.
**Find \( L''(6) \).**
\( L''(6) = \_\_\_\_\_\_ \)
Interpret your answer.
The ---Select--- in the sea level will be ---Select--- by this amount per decade per decade.
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