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A star is a another name for a tree with one vertex connected to each of n other vertices. (So a star has n + 1 vertices.) What are the size of a maximum matching and a minimum vertex cover in a star with n + 1 vertices?
second order differential equation
Identify any symbols you choose to use.
a poster is to contain 100 square inch of picture surrounded by a 4-inch margin at the top and bottom and a 2 inch margin on each side. FInd the overall dimensions that will minimize the total area of the poster.
Find the average rate at which oil drains during the first 15 minutes. Find the average rate at which oil drains during the time interval [10, 15].
The total budget is $24,000 and the company can buy x, y, z at $80, $12, and $10 per unit, respectively. What combination of inputs will maximize production?
Important information about Cumulative Probability, Suppose the probabilities that a new car battery functions
A rancher has 248 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will produce the largest total area
Let U be a uniform random variable on the interval (0, 1). Find a transformation G(U) such that G(U) possesses an exponential distribution with mean β.
In very cold weather, blood vessels in the hands and feet contract. Calculate dv/dt, the rate of change of the blood flow, at the centre of the blood vessel at that time.
Let S be the circle in the plane {(x,y) in R^2: x^2 + y^2 = 1} and f: S --> R be a continuous map. Show that there exists (x,y) on S such that f(x,y) = f(-x,-y).
Find the work done pulling the bucket to the top of the well.
Consider a function f(x, y) = xy (1- x - y). Find the critical point of the function. Use the srcond derivative to classify the critical point.
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