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A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (Give your answers correct to two decimal places.)
How much wire should be used for the circle in order to maximize the total area?
Asaro was given $1,000 worth of stock in 2001. By 2004, the stock was worth $1,750. If the value of the stock increases at a constant rate, what is its worth in 2006?
A colony of bacteria grows according to the law of uninhibited growth. If 100 grams of bacteria are present initially, and 250 grams are present after two hours, how many will be present after 4 hours? Note: Do not round the value of k.
Show your results numerically and graphically. What can you conclude about the affect of the rate of return on your retirement plans ?
Two trains leave stations 448 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates for the other endpoint Q.
Develope a formula for the overall probability of kill, assuming that N defensive missles are launched.
What mass of H2O is produced when 0.400 moles of KOH react completely in the following equation?
Recall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated vertex in G - E(T).)
Are closures and interiors of connected sets always connected? (Look at subsets of R2).
Find the maximum margin separating hyperplane by solving the dual lagrangian constrained optimization problem. What is the value of the margin?
Let S = {1,2,3,4,5,6,7,8}. Determine: The number of subsets of S. The number of subsets of S with at most four elements
What is the probability that a freshman selected at random from this group is enrolled in each of the following?
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