#1) You are transporting ice cream from a warehouse to a local shop in a refrigerated van. Before you get on the road,the cargo area of the van is cooled to 15 °F. After 30 minutes of driving, you stop for gas and check the cargo areaagain. Disaster! The door isn't closing properly, and the cargo area of the van has warmed to 24 °F.It's a cool morning, at a constant 50 °F outside. If the cargo area of the van warms to 32 °F, then the ice cream will startto melt. But your destination is 30 more minutes away. Can you deliver the ice cream to the shop before it starts tomelt?

Find the decrease in initial 30 minutes. Then use that to solve.

Answered: #1) You are transporting ice cream from…

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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#46
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On a mild Saturday morning while people are working inside, the furnace keeps the temperature inside the building at 22°C. At noon the furnace is turned off, and the people go home. The temperature outside is a constant 12°C for the rest of the afternoon. If the time constant for the building is 4 hr, when will the temperature inside the building reach 15°C? If some windows are left open and the time constant drops to 2 hr, when will the temperature inside reach 15°C? If the time constant for the building is 4 hr, the temperature inside the building will reach 15°C about (Round to the nearest tenth as needed.) hr after noon.
Our family brought lots of hot dogs along on our latest camping trip. However, after setting up the tent, we didn’t take care to make sure that the food was safe – and raccoons ate 1/4 of the hot dogs! Grumbling, we cleaned up the mess, then ate 12 hot dogs for lunch. But we forgot to put the rest away when we went hiking, and lost 1/6 of our dwindling supply to jays! Just as a precaution, Mom went to the store and bought enough hot dogs to increase our supply by 2/5. Our campsite neighbors, however, ran out of food, so we gave them 3/7 of our remaining hot dogs and then ate 12 hot dogs for our dinner. That night, bears got 3/4 of the last part of our supply, and in the morning there were only 3 hot dogs left! How many hot dogs did we start with? (Next time maybe we should just bring granola bars...)

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