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Caffeine is metabolized and excreted at a continuous rate of about 17% per hour. A person with no caffeine in the body starts drinking coffee, containing 130 mg of caffeine per cup, at 7am. The person drinks coffee continuously all day at the rate of one cup an hour. Write a differential equation for A, the amount of caffeine in the body t hours after 7am and give the particular solution to this differential equation. How much caffeine is in the person's body at 5pm?
Find the exact length of the curve defined by y=2[(sqrt(x))^(3)]-1=2x^(3/2)-1 from x=0 to x=2. Set up the integral, use the substitution method( reverse chain rule),
You are managing a small assembly operation building toy cars. Due to increased demand, you need to hire an employee in addition to the two that are already building this line of toy assemblies. For the questions below, show all your work in deriv..
Probability and chance A prison has 20 balls, 10 black and 10 white. The prisoner is to arrange the balls in 2 boxes. All of the balls must be used and there must be at least one ball in each box.
the population of a city can be modeled by p=125000 e^0.02t where t is the number of years since 1990. what was the population in 1995?
The measure of the central angle of the sector
A chord of length 26mm is drawn in a circle of 35mm diameter. What are the lengths of the smaller and larger arcs into which the circumference is divided?
A specialty-freezer company has determined that the operating costs at one of its plants can be approximated by the function:
Service station cars arive randomly at a rate of 1 car every 30 min. the average time to change oil on a car is 20 min. both the time between arrivals and service time can be modeled using the negative exponential Poisson distribution.
Linear programming - What are the sensitivity limits for the constraints
Probability of Drawing Two Red and Two Blue Marbles, A bag contains 4 red, 3 white and 5 blue marbles, What is the probability that in a sample of 4 marbles that are drawn
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
In a triangle ABC, if r 1 is the exradius of the excircle opposite to A, r 2 is the exradius of the excircle opposite to B and r 3 is the exradius of the excircle opposite to C
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