Newton's law of cooling states that the temperature of an objectchanges at a rate proportional to the difference between itstemperature and that of its surroundings. Suppose that thetemperature of a cup of coffee obeys Newton's law of cooling. If thecoffee has a temperature of 172 °F when freshly poured, and 1 minlater has cooled to 162 °F in a room at 70 °F, determine when thecoffee reaches a temperature of 129 °F.Note: Enter the exact symbolic expression for the asked time.The coffee reaches the temperature 129 inminutes.

Answered: Image /qna-images/answer/e9f4f542-d2f9-4ff6-b4c8-688960b8cf2e.jpg

Answered: Newton's law of cooling states that the…

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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The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. A cylinder contains oxygen at a temperature of 310 degrees K and a pressure of 18 atmospheres in a volume of 120 liters. Find the pressure if the volume is decreased to 95 liters and the temperature is increased to 330 degrees K. I am struggling with this problem and have been for ages... please help.
mile due west of a street intersection. Another car is located 8. mile 4. A police car is at rest and is located north of the intersection and is traveling at a speed of 40 miles per hour (mph) due south toward the intersection. At that instant, the radar in the police car records the rate at which the distance between the two cars is changing. What speed is recorded by the radar? 35.8 mph 38.8 mph 41.2 mph 44.2 mph 53.7 mph 0 0
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A car is initially located 40 km North of a truck. The car then begins to travel North at 20 km/h, while at the same time, the truck travels due West at 30 km/h. After travelling for 2 hours , the distance between the two vehicles is 11. A. decreasing at 26 km/h B. increasing at 26 km/h C. decreasing at 34 km/h D. increasing at 34 km/h
A fish population starts at 15000. The (annual) birth rate is 0.4; the (annual) death rate is 0.3. In addition, 1500 fish are stocked each year, and 2000 are caught and removed from the population each year. Determine the size of the population after 1 year and 2 years Answer to the nearest 1.
Each row represents an experimental “run” (in this case, averaged sample of mango wine). Column A shows the run number; Column B shows the percentage of ethanol; Column C shows the amount of glycerol (in g/L); Column D shows the amount of acid (in g/L); Column E shows the temperature of the run (in °C); and Column F shows the pH of the run. Y represents Ethanol of mango wine. 1. Create a scatterplot of the ethanol data for all 20 runs a. Draw a graphical representation of the model that you chose to use. b. Comparing the model to your data, evaluate its fit in one or two sentences. (Not sure what this question is getting at. I've provided all the information given) c. Replace the generic Yi = β0 + ε with the information you have here. Please help. I have no idea what this even means or where to start. HERE is the attached dataset to start with; a b c d e f Run Ethanol Glycerol Acidity Temp pH 1 4.8 3.5 0.84 24 3.8 2 9.6…
Convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. Use C = (F-32) or F=C+32, where F is the degrees in Fahrenheit and C is the degrees in Celsius. 73°F 73°F=°C (Round to the nearest tenth as needed.)

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