13. A passenger ship and an oil tanker left the port at any time in the morning. The passenger ship as a former headed north and the latter headed east. At noon, the passenger ship was 40 nautical miles from port and sailing at 30 nautical miles per hour, while the oil tanker was 30 miles from port and sailing at 20 miles per hour. Determine the rate of change of the distance between the two ships with respect to time. (Hint: Use Pythagorean theorem and differentiation).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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13. A passenger ship and an oil tanker left the port at any time in the morning. The
passenger ship as a former headed north and the latter headed east. At noon,
the passenger ship was 40 nautical miles from port and sailing at 30 nautical
miles per hour, while the oil tanker was 30 miles from port and sailing at 20
miles per hour. Determine the rate of change of the distance between the two
ships with respect to time. (Hint: Use Pythagorean theorem and differentiation).
Transcribed Image Text:13. A passenger ship and an oil tanker left the port at any time in the morning. The passenger ship as a former headed north and the latter headed east. At noon, the passenger ship was 40 nautical miles from port and sailing at 30 nautical miles per hour, while the oil tanker was 30 miles from port and sailing at 20 miles per hour. Determine the rate of change of the distance between the two ships with respect to time. (Hint: Use Pythagorean theorem and differentiation).
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