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: The half-life of Carbon-14 is 15 years. How much of an initial 183 g sample will remain after 38…

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: find the va;ue of y at x=9 round to the nearest hundredth "x " " 0 " " 1 " " 2 " " 3 " " 4 " " 5 "…

A:

Q: A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed…

A: The objective of the question is to find the probabilities and mean of the lifetime of lightbulbs…

Q: (ii). A girl spends of her pocket money on snacks and 7. of what 8. is left on clothes. If she has…

A: (1) Let pocket money is x, then money spent on snacks = 37x Now,  Money spent on clothes =…

Q: fP (A) = = 0.45, P (B) = 0.3, and P (ANB) = 0.1. Calculate P(B|A). Enter your answer with two…

A: P(A)=0.45P(B)=0.3P(A B)=0.1

Q: You find out that there were 50 new cases of T1DM reported between January 2014 and January of 2016.…

A:

Q: If n=10 and p=0.5, find P(x=8) Give at least 4 decimal places.

A:

Q: The term "El Niño" refers to the warming of the central and eastern tropical Pacific waters that…

A: Given,Claim:- The global mean temperature in the current year is different from the global mean…

Q: You are given P[AUB]=0.7 and P[AUB']=0.9. Calculate P[A].

A:

Q: Predict the list price of a vehicle with city MPG 21.6 and the acceleration time to 60mph 8.4…

A: A regression model is given.

Q: part 4

A: Solution: It is given here:

Q: A train with a maximum speed of 105 km/h has an acceleration rate of 0.67 m/s2and a deceleration…

A: The objective of this question is to find out the time it takes for the train to accelerate to its…

Q: Thirty percent of a radio-active substance decays in 7 days, what is the half-life of the substance?…

A:

Q: Solve for Y: Do not round interim steps, do not write numbers down and reenter them in your…

A:

Q: Find and show how to find the value of the gamma function for α = 5.5. (6.5) = 287.8853. (5.5)=

A:

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.