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suppose the rectangular plot runs along a building, so that you need to fence only three sides. What dimensions will now yield a maximum area with 100 meters of fencing?
Give an example of an exponential function. Find this exponential function's inverse, which will be a logarithmic function. Plot the graph of both the functions.
the graph of the circle of the equation below is a circle. What is the length of the radius of the circle?
Farmer Brown, distant mathematical cousin of Mr. Brown, wants to enclose a grazing area along a river bank and build an opera hall. He has 500m of fencing available and none can be used along the riverbank. What are the dimensions that give the la..
Construct the decision tree diagram and perform backward induction analysis to determine the optimal course of action if a net change in profits is the expected payoff.
Find the velocity of the top of the ladder at time t=2.
A motorboat can maintain a constant speed of 43 miles per hour relatuve to the water. The boat makes a trip upstream to a certain point in 52 minures; the return trip takes 34 minutes. What is the speed of the current?
Given the following information, calculate the Predictive value positive and the predictive value negative.
A single line divides a plane into two regions. Two lines (by crossing) can divide a plane into four regions, three lines can divide it into seven regions.
Solving probability problems based on Binomial distribution
What are the probabilities of drawing a certain colour candy? Use the theoretical method to determine the probability of the given outcome or event.
a trapezoid has an area of 80.75sq. in and its two bases are 7 and 12 inches long. find the height of the trapezoid.
Are closures and interiors of connected sets always connected? (Look at subsets of R2).
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