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Suppose 50 people have heard a rumour by 8am in a town of 3,000 people. Assume that the spread of the rumour follows the logistic equation,
dP/dt=kP(1-P/C).
(a) Given that 100 people have heard the rumour by 12 noon, determine how long it takes for half the population to have heard the rumour. Enter your answer in hours rounded to exactly one decimal place.
(b) How many people have heard it by 8pm? (Hint: You must round your answer down to get the appropriate integer.)
a lake has a shape of a circle with the center o and radius r5. points a and b on the lakes shore are situated on the
Three particles of mass 6kg, 3kg and 2.5kg are attached to a light rod PR of length 3 meters at the point PQR where PQ=0.9 M. Find the position of the center of the system
Assume that for each type of system below there is at least one variable with a nonzero coefficient. Find the smallest and largest rank possible for the corresponding augmented matrix in each case.
For the last two problems assume that data set 1 was randomly drawn from population with normal distributions with unknown mean and variance.
Rewrite in vertex form, find vertex, state if it is a max or min, graph, and find eq of axis of symmetry
An accident at an oil drilling platform is causing a circular oil slick. The slick is 0.08 foot thick, and when the radius is 750 feet, the radius of the slick if increasing at the rate of 0.5 foot per minute. At what rate (in cubic feet per minut..
Solve the following problem by simplex method
ENG 125 What does literature offer an individual How has the importance of reading changed from earlier eras (pre-digital/audio/visual media) to our present day? Do you think we read differently now than we did in prior generations? Do you think Clug..
Describe the relevance of the derivative with respect to your technical application. Include relevant graphs of your function and its derivative.
How many units are in process on 5/31? What is the material cost for May? What is the conversion cost for May?
the room temperature was 70 degrees F. One hour later the body temperature was 93.4 degrees. Estimate the time of death
Automorphisms and Conjugation, Show that if H is any group then there is a group G that contains H as a normal subgroup with the property that for every automorphism f of H there is an element g of G such that the conjugation by g
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