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Please solve the following problem:
Let E be an open and convex subset of R^n and let f in C^1(E).
Show that f satisfies the Lipschitz condition on E if and only if its derivative Df is bounded on E, that is, there exists a constant M => 0 such that the norm of
IIDf(x)II =< M for all x in E, where IIDf(x)II is the norm of the linear operator Df(x).
Make the shape of the square.
Fishing and Probability. Last week, Pat caught n distinct fish from Lake Nebagamon, but threw all of them back at the end of the fishing trip. Next week, Pat will go fishing again at the same place,
Write the equation of the line in BOTH point-slope and slope-intercept form.
Evaluate the combination or binomial function in the completion 48 factorial over 37 factorial. The answer should equal to 22595200368.
Important information about Chi square test for Goodness of fit & Association (1) Records of randomly selected births were obtained and categorized according to the day of the week that they occurred. Because babies are unfamiliar with our schedul..
The following random sample was selected from a normal distribution: 10, 12, 12, 15, 13, 15 & 16.Test the hypothesis that the true mean exceeds 12. [Use α =.01]
What would be a reasonable density function for L?, b) What is the average distance that the worker needs to walk to the retrieval location (including units)?
A thin plate occupies the region x^2/4 + y^2/9 is less than or equal to 1. If the temerature of the plate is T(x,y)= x^2 + y^2 - 5y + 5, find the coldest and hottest points on the plate.
The J.P. Atkins Company will soon be introducing a new product. Estimates have been made of the monthly profit that would be generated by this product for each of four alternative values of the monthly production rate, as shown below.
A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a yellow marble? If a yellow marble is drawn the first time and then a second marble is drawn without replacement
At the the Pittsburg zoo, children ride a train for 25 cents, adults pay $1.00, and Senior citizens 75 cents. On a given day, 1400 passengers paid a total of $740 for the rides.
Using Excel to graph, prove whether the following equation could possibly be an identity or determine if it is definitely not an identity.
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