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3. The cost C of manufacturing transformers in a factory varies with the output N per day according to the relation: C = a + b/N + eN where a, b, and e are constants. For what output will the cost be least? 4. A given cylindrical tank whose radius 'r' and altitude 'h' are observed to be varying. At a certain instant, r = 10 inches and is increasing at 2 inch per second, while at this instant the altitude h is 20 inches and is increasing at 0.5 inch per second. Determine the rate at which the volume is changing?

3. The cost C of manufacturing transformers in a factory varies with the output N per day according to the relation: C = a + b/N + eN where a, b, and e are constants. For what output will the cost be least? 4. A given cylindrical tank whose radius 'r' and altitude 'h' are observed to be varying. At a certain instant, r = 10 inches and is increasing at 2 inch per second, while at this instant the altitude h is 20 inches and is increasing at 0.5 inch per second. Determine the rate at which the volume is changing?

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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3. The cost C of manufacturing transformers in a factory varies with the output N per day according to the relation: C = a + b/N + eN where a, b, and e are constants. For what output will the cost be least? 4. A given cylindrical tank whose radius 'r' and altitude 'h' are observed to be varying. At a certain instant, r = 10 inches and is increasing at 2 inch per second, while at this instant the altitude h is 20 inches and is increasing at 0.5 inch per second. Determine the rate at which the volume is changing?
Transcribed Image Text:3. The cost C of manufacturing transformers in a factory varies with the output N per day according to the relation: C = a + b/N + eN where a, b, and e are constants. For what output will the cost be least? 4. A given cylindrical tank whose radius 'r' and altitude 'h' are observed to be varying. At a certain instant, r = 10 inches and is increasing at 2 inch per second, while at this instant the altitude h is 20 inches and is increasing at 0.5 inch per second. Determine the rate at which the volume is changing?
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