At a crime scene, a forensic technician found the body temperature of the victim was 33◦C at 6:00 p.m. One hour later, the coroner arrived and found the body temperature of the victim fell to 31.5◦C. The forensic technician determined that the change in the atmospheric temperature could be modeled satisfactorily as 20e−0.02 t in the time window of ±3 hours starting at 6:00 p.m. It is known that the body temperature of a live person is 37◦C. When was the victim murdered?

Q: Greece has average precipitation of 652 mm per year. On a random week in Greece, what is the…

A: We  have to find E(x)..

Q: If the compounding period CP and the time period t are the same, then compounding frequency equals =

A: If compounding period is equal to the time period then interest is calculated on one time.

Q: A museum contains a large pendulum. Due to air resistance and friction, each swing of the pendulum…

A:

Q: An insect is discovered suspended in amber. A specimen is drawn from the insect, converted to…

A: We need to use the ratio of carbon-14 (C-14) to carbon-12 in living organisms. The ratio in living…

Q: Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in…

A: Given Mean=5.43 Standard deviations=0.54

Q: Cross-contaminated cell counts of Salmonella Typhimurium and Enterococcus faecium onto butternut…

A: The given figure contains the concentrations of Salmonella Typhimurium and Enterococcus faecium…

Q: Jordan has average precipitation of 111 mm per year. On a random week in Jordan, what is the…

A:

Q: en artifact found in a crypt contains 93 percent of the carbon-14 that is present in living flax. To…

A: Given that a linen artifact found in a crypt contains 93 percent of the carbon-14 that is present in…

Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

A:

Q: In response to rising concerns about identity theft, the number of models of paper shredders a…

A: From the given information, the number of models of paper shredders a company manufactures increased…

Q: In cold weather, we feel colder when the wind blows. This is quantified by the wind chill index W,…

A:

Q: The pH of saliva is normally in the range of 6.4 to 7.0. However, when a person is ill, the person’s…

A: Given that the pH value of Marco saliva during sick time is 5.5.

Q: In response to rising concerns about identity theft, the number of models of paper shredders a…

A: It is given that the number of models of paper shredders a company manufactures increased…

Q: Two earthquakes struck Papua, Indonesia, in February 2004. One had a magnitude of 7.0 on the Richter…

A: Magnitude is measured by Richter scale which is a logarithmic scale with 10 base.

Q: Use the table to the right to answer the following question. Item Energy released by burning 1 kg of…

A: Given energy released by burning 1 kg of sedimentary rock = 1.6 x 109 Country A energy consumption =…

Q: The half-life of iron-52 is approximately 8.3 hours. Step 3 of 3: How much of a 13 gram sample of…

A:

Q: Suppose that 40 deer are introduced in a protected area. The population of the herd P can be modeled…

A: Given:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.