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A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 66 ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
Statistics: linear and multilinear regressions, The personnel director for a local manufacturing firm has received complaints from the employees in a certain shop regarding what they perceive to be inequities in the annual salary for employees who..
Let X be a path-connected space and suppose that every map f: S^1 --> X is homotopically trivial but not necessarily by a homotopy leaving the base point x_0 fixed. Show that pi_1(X,x_0) = 0.
A car dealer, at a year-end clearance sale, reduces the list price of last year's models by 15%. If a certain model has a discounted price of $8000, what was the list price? How much can be saved by purchasing last year's model?
Use Euler's method to determine the first three approximations to the given initial value problem and Each sample problem has three solutions with an initial point, moving over delta x and moving over by delta x again.
Express the following in the polar coordinate form: u(r, theta) + i v(r,theta)
Prove Let D be a nontrivial connected digraph. Then D is Eulerian if and only if od(v)=id(v) for every vertex v of D. Od means the outdegree of a vertex v of a digraph D. (is the number of vertices of D that are adjacent from v.
Early one morning it began to snow at a constant rate. At 7 AM a snowplow set off to clear a road. By 8 AM it had traveled 2 miles but it took two more hours for the snowplow to go another 2 miles.
De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Use an example for discussion.
Using the given data and chart, find the coefficients a, b, and c of the exponential model algebraically.
If the merchant samples the fruit, what are the probabilities of accepting a Good box, accepting a Bad box, and not accepting the box? What are these probabilities if he does not sample the fruit
Important information about Probability with dice, You roll a dice twice. What is the probability that you will roll each of the following pairs of numbers.
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