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A campus has 5000 students. After the Christmas break one student returns carrying a flu virus. Assume that the rate at which the virus spreads is proportional to the number of infected students P(t), but also to the number 5000P(t) of students not yet infected. Here time is measured in days.
(a) Our assumptions mean that the function P(t) satisfies the initial value problem, dP dt = kP(5000 P), P(0) = 1 where the parameter k is initially unknown. Find the solution of this IVP by solving the DE as a separable equation.
(b) After seven days 50 students are infected. Use this to determine the parameter k .
(c) How long does it take before 10 percent of the students are infected?
Axis of the hole is perpendicular to VP. Draw elevation, plan and development of the lateral surfaces of the pyramid.
describe the measurements that would have to be taken and the equations that would have to be used to determine G23, V32, and E2 for a specially orthotropic transversely isotropic material from a single tensile test.
A room has a floor area of 500 m^2 and a height of 4 m. THe room is involved in a fire with a constant energy release rate of 1 MW. calculate the time till the smoke layer is 1.5 m from the floor for (a) the case where the leakage areas are at the ..
could you please help me to figure out what the meaning of steady state in the pavement management system preservation and rehabilitation.
The center 0 of the wheel is mounted on the sliding block, which has an acceleration of a0= 8 m/s2 to the right. At the instant when theta=45 degrees, theta dot is = 3 rad/s and theta double dot is = -8 rad/s2.
The flowrate (q) per unit lenght (ft^2/s) over the spillway shown below is a fuction of the upstream heah H, the acceleration due to gravity g, and the spillway height P.
A pool of benzene is ignited on the floor of a large industrial building. The total area covered by the Kerosene pool is 6 meters square (Note that this is considered a large pool D>0.2 meters). Combustion efficiency is 70%. Estimate the plume mas..
Body A and body B are connected by an inextensible cord. If both bodies are released simultaneously from rest, what distance do they move in 3 sec and what is the tension in the cord. The weight of A is 50 lb and the weight of B is 10 lb.
Calculate the prismoidal correction and compare the prismoidal volume to the corrected end area volume. Station Left Center Right Area (sq. ft.) 1+00 C7.0/ C8.2/ C8.5/ 256.90 31.3 0.0 24.5 1+50 C5.3/ C5.0/ C3.5/ 207.62 29.5 0.0 21.8 2+00
Suppose a watershed in Athens, Georgia has 25 acres pasture (CN=70) and 50 acres wooded (CN=55). Determine the excess rainfall (in inches) and runoff volume (cubic feet) assuming the design rainfall is 25-year, 24-hour.
The telescope of the instrument is 5.25 ft above the ground station, whose elevation is 415.65 ft. What is the elevation of the tip of the spire? (Ignore atmospheric refraction and earth curvature)
suppose you apply a force of 14.4 N to a spring and it stretches 2.4 cm. what is the spring constant?
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