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Suppose that 694 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. Find the dimensions of the corral with maximum area.
which station is really selling the cheaper gas and how much cheaper is that gas?
Use this information to construct a 98% confidence interval to estimate the mean number of pages for the population of medium-sized company policy books.
At the beginning of an experiment, a scientist has 372 grams of radioactive goo. After 105 minutes, her sample has decayed to 46.5 grams. What is the half-life of the goo in minutes?
Let vector r(t) = t i + t^2 j represent a plane curve. Find T(t), T(1) and N(1). Sketch the plane curve and graph the vectors T(1) and N(1) at the point t = 1.
A ski jump is design to follow the path given by the equations: x=3.5t^2 and y=20.0+0.120t^4 - 3.00 sqrt(t^4+1) (0 less than or equal to (t) less than or equal to 4.00 s) ( x and y in m, t in s). Find the velocity and acceleration of a skier when ..
Your coin collection contains 53 1952 silver dollars. If your grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in 2063, assuming they appreciate at a 4.4 percent annual rat..
Let X and Y have joint density fXY (x; y) = c(x + y)^2 for 0≤ x ≤1; 0≤y≤1.
Write computer code to determine the steady state temperature at the five co-ordinates in the rectangular region: (a/4,b/4), (3a/4,b/4), (a/4,3b/4), (3a/4,3b/4), (a/2,b/2) using the first 100 terms of the series solution (n = 1 to 100).
Let S a subset of R be compact. Prove that every infinite subset of S has an accumulation point in S
Linear Fractional Transformation is a Mapping f: C --> C A fixed point of a transformation is a point z_0 so that f(z_0) = z_0. Show that every linear fractional transformation
Discuss the difference in appearance of a graph of an equation and a graph of an inequality.
How much do you need to invest today to have $500,000 30 years in the future and how much of that total is interest?
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