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Suppose 40 people have heard a rumour by 8am in a town of 9,000 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 triangle has two sides that have lengths of 17 feet and 22 feet. What could the third length possible be?
A patient must receive a total of 5.1/3 ml of a drug. If the drug must be administered in three equal doses, how much is each dose?
Construct the 3 X 3 matrix that rotates points -30° about the point (-2, 6), using homogeneous coordinates.
The Hill of Tara in Ireland is a place of great archaeological importance. This region has been occupied by people for more than 4,000 years. Geomagnetic surveys detect subsurface anomalies in the earth's magnetic field. These surveys have led to man..
Find and sketch the domain of the function f(x; y) = (4-x2-y2)(1/2) + (1-x)(1/2). Draw a contour map of the function f(x; y) = y sec x showing several level curves.
How do you find the normal to the level curve of F(x,y)
john baked a cake. frank ate 16 of the cake. anne ate 15 of what was left. susan ate 14 of what was left after
1. state eulers circuit theorem. explain why this theorem should be true2. explain cantors diagonalization argument.
We have a nickel, dime and quarter in a cup. We withdraw two coins, first one and then the second, without replacement. What is the expected amount of money and variance for the first draw? For the second draw? For the sum of both draws?
number of correct answers on a test and test score 4) number of students in a class and number of students of with brown hair
A pet shop had 8 identical fish tanks in the shape of rectangular prisms. The width and height of each tank was (x - 7) inches and the length was 8 inches more than its width. The expression below shows the maximum amount of water which all the tanks..
ON a traingle, the tip is 69 degrees, the bottom right hand corner is 55 degrees, the other is unknown. One side is 75 and the other is equal. What is the base of the triangle?
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