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7. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the bottom of the ladder is 3 m from the wall, it slides away from the wall at a rate of 0.2 m/s. How long is the ladder?

7. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the bottom of the ladder is 3 m from the wall, it slides away from the wall at a rate of 0.2 m/s. How long is the ladder?

Advanced Engineering Mathematics
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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7. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the bottom of the ladder is 3 m from the wall, it slides away from the wall at a rate of 0.2 m/s. How long is the ladder? 8. Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a temperature is given approximately by the formula V = 999.87 – 0.06426T + 0.008504372 0.00006797³ Find the temperature at which water has its maximum density.
Transcribed Image Text:7. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the bottom of the ladder is 3 m from the wall, it slides away from the wall at a rate of 0.2 m/s. How long is the ladder? 8. Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a temperature is given approximately by the formula V = 999.87 – 0.06426T + 0.008504372 0.00006797³ Find the temperature at which water has its maximum density.
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