(9) A calculator at 70°F is placed into a car where the temperature is 160°F.The calculator's temperature increases by 30°F after 7 minutes.(a) What will the calculator's temperature be 1 hour after it is placed in thecar?(b) If thee calculator can sustain a maximum temperature of only120°F, when will the calculator be damaged by the heat?

The temperature of the calculator is 70° F The temperature of the car is 160°F After 7 minutes the…

Answered: (9) A calculator at 70°F is placed into…

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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A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is placed on a table in a room where the temperature is 75° Fahrenheit. Give answers accurate to at least 2 decimal places. (a) If the temperature of the turkey is 156° Fahrenheit after half an hour, what is its temperature after 45 minutes? Fahrenheit (b) When will the turkey cool to 100° Fahrenheit? hours.
A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is placed on a table in a room where the temperature is 75° Fahrenheit. Give answers accurate to at least 2 decimal places. (a) If the temperature of the turkey is 158° Fahrenheit after half an hour, what is its temperature after 45 minutes? Fahrenheit (b) When will the turkey cool to 100° Fahrenheit? hours.
A tsunami (sometimes inaccurately called a “tidal wave”) is a fast moving ocean wave caused by an underwater earthquake. The water first goes down from its normal level to its lowest level, then rises to its highest level above normal. The time it takes to go from lowest level to highest level, and back to lowest level is 15 minutes. The tidal wave continues this pattern until it crashes onto shore. Suppose a tsunami with amplitude of10 meters approaches Honolulu, HI where the normal depth of water is 9meters. Assume the tsunami varies in depth of water sinusoidally with time as it approaches the pier. a) Sketch the graph of the water depths from 0 to 15 minutes.b) Find a particular equation expressing water depth as a function of time. c) What does a negative water depth mean (keeping in mind that there can’t be less than zero water)?
Two autos, P and Q, start from the same point and race along a straight road for 10 seconds. The velocity of P is given by feet per second. The velocity of Q is shown in the graph. (a) At what time is P’s actual acceleration (in ft/sec2) equal to its average acceleration for the entire race? (b) What is Q’s acceleration (in ft/sec2) then? (c) At the end of the race, which auto was ahead? Explain.
When a forensic expert determines time of death, they often have additional information besides body temperature. Suppose a coroner finds that the person who was murdered had an infection that probably raised the core body temperature to around 102 degrees. Using the same cooling constant, ambient room temperature, and temperature data as in problem 1, make a new estimate for the time of death. Again, write your answer as a time, not just as ? minutes. A(Ambient temp)=68 B(temp)=85.9 K(cooling constant)=0.183702
A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into a nutrient broth, the culture grows at a rate proportional to its size. After 1.5 hours, the population has increased to 925. (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.) (b) Find the number of bacteria after 6 hours. (Round your answer to the nearest whole number.) (c) Find the rate of growth (in bacteria per hour) after 6 hours. (Round your answer to the nearest whole number.)
A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is placed on a table in a room where the temperature is 75° Fahrenheit. Give answers accurate to at least 2 decimal places. (a) If the temperature of the turkey is 149° Fahrenheit after half an hour, what is its temperature after 45 minutes? Fahrenheit (b) When will the turkey cool to 100° Fahrenheit? hours.

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