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1. A cylindrical drum is to be made to hold 208 L of oil. Find the dimensions that will minimize the cost of the metal to manufacture the drum.

1. A cylindrical drum is to be made to hold 208 L of oil. Find the dimensions that will minimize the cost of the metal to manufacture the drum.

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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1. A cylindrical drum is to be made to hold 208 L of oil. Find the dimensions that will minimize the cost of the metal to manufacture the drum. 2. The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period. Use 6 subintervals with midpoints. Include a sketch showing the approximating rectangles you used. D (km/h) 80 40 0 10 20 30 t (seconds) 3. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 8 m from the dock?
Transcribed Image Text:1. A cylindrical drum is to be made to hold 208 L of oil. Find the dimensions that will minimize the cost of the metal to manufacture the drum. 2. The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period. Use 6 subintervals with midpoints. Include a sketch showing the approximating rectangles you used. D (km/h) 80 40 0 10 20 30 t (seconds) 3. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 8 m from the dock?
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