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A study of freeway flow at a particular site has resulted in a flow-density relationship, as follows:
F=63.4D-0.46D^2
From this relationship:
(a) Find the free-flow speed and jam density.(b) Derive equations describing flow versus speed and speed versus density(c) Determine the capacity.
Find derivatives of the following functions using differentiation rules:
Attendance at the Fireman's Ball has been declining. Each year, the number attending is 2/3 of the previous year's attendance and the cost of food is 3/4 that of the previous year.
Show that if 7 integers are selected from the first 10 positive integers there must be at least 2 pairs of these integers with the sum 11
Give the general steps for graphing a linear function. Give an example of a linear function and graph it.
A simple question on the Mean of a Binomial distribution, 80% of the community favored building a police substation in their neighborhood.
the coin is returned to Al and the entire process begins again. The game continues until soneone gets heads. What is the probability of each of them winning?
In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin. Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle.
Use polar coordinates to evaluate the volume of the solid below the paraboloid (z= 4-x^2-y^2) and above the xy plane.
Express logarithm into exponential form and solve logarithmic equation and solve the log 4 2 = 1/2 in exponential form.
Find the equation of the Straight line from the given data - Evaluate the equation of the indicated curve, subject to the given conditions,
The Rule of 70 is a mathematical approximation that calculates how long it takes for a value to double. Examples are as varied as finding how long it takes the Gross Domestic Product to double
Which of the properties: reflexive, antisymmetric and transitive are true for the given relation? Begin your discussion by defining each term in general first and then show how the definition relates to this specific example.
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