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Question: A detective finds a murder victim at 9 am. The temperature of the body is measured at 90.3°F. One hour later, the temperature of the body is 89.0°F. The temperature of the room has been maintained at a constant 68°F.
(a) Assuming the temperature, T, of the body obeys Newton's Law of Cooling, write a differential equation for T.
(b) Solve the differential equation to estimate the time the murder occurred.
Find the z score that has 11.7 of the distribution area to its left
Linda is still bored and is now pouring sugar onto the floor. How fast is Linda pouring the sugar at the instant that the pile of sugar is 3 inches high?
When 5/20483 is written as a decimal, what is the maximum length of the repeating section of the representation?
If the sales effect for period 5 is $125 million and the carryover effect is 0.25, calculate the total sales impact for period 5.
Trevor's weekly allowance is calculated using a point system. For each chore he does, Trevor gets a point. For each chore he misses, he loses a point. Each point is worth $2, and negative points mean that Trevor owes money to his parents.
A poster is to have an area of 150 in2 with 1 inch margins at the bottom and sides and a 5 inch margin at the top. What dimensions will give the largest printed area?
(a) If possible, write down a convergent sequence that is not bounded. If this is not possible, BRIEFLY explain why (b) Give an example of a sequence that gets arbitrarily close to L=1, but does not converge to L=1.
A study showed that there are 17 vehicles for every 10 households. how many vehicles are there for 106 million households?
What is the rate of change of this function at the point (3,2,4) in the direction towards (1,4,3)? What is the greatest rate of change of this function at the point (3,2,4)?
Felipe wants to have $15,200 in 10 years. Use the present value formula to calculate how much he should invest now at 16% interest, compounded quarterly in order to reach his goal.
1. Given the following augmented matrix which represents a linear system, solve the linear system for x, y, and z. If there is an infinite number of solutions then express the solutions in terms of z as the parameter. If there isn't a solution, th..
What does this model predict for the population of Hungary in the year 2020?
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