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1. Consider each of the following situations in a qualitative way and determine the equation type, the nature of the boundary curve and the type of boundary conditions involved:
a. a conducting bar given an initial temperature distribution and then thermally isolated;b. two long conducting concentric cylinders, on each of which the voltage distribution is specified;c. two long conducting concentric cylinders, on each of which the charge distribution is specified;d. a semi-infinite string, the end of which is made to move in a prescribed way.
For IEEE 754 single precision floating point, write the hexadecimal representation for -1.0
From the matrix S who columns are the three vectors in your basis for E3, and compute J = (S^-1)AS. Notice that if you order the columns of S in the most logical way, J will be triangular.
A window is constructed from a rectangular sheet of glass of height h with a semicircular piece of glass at each end of radius r.
One card will be randomly selected from a standard 52-card deck of cards. What is the probability that it will be the jack of hearts?
Explain, in complete sentences, whether or not the expression x2 - 121 fits one of the special patterns and, if so, which one. Explain how the polynomial is factored.
what is the purpose of using regression analysis? how may it be used to formulate strategies? provide examples related
Miranda's finanical aid stipulates that her tuition not exceed $1500. If her college charges a $45 registration fee plus $275 per course, what is the greatest number of courses for which Miranda can register?
Let G be a group and H be a non-empty subset of G. We define H^2 as the set of elements of G which can be written in the form h_1 h_2, with h_1 ,h_2∈H.
The following eight numbers can be grouped into four pairs such that the higher of each pair divided by the lower is a number of particular mathematical significance (at least to 4 decimal places).
A normal distribution with a mean of 10 and standard deviation of 5. What is the corresponding Z score for a case having a value of 7? measures of central tendency
Compute the mean, variance, and standard deviation.
A spherical balloon is inflated with a gas at the rate of 500 cm3/min. How fast is the radius of the balloon increasing at the instant the radius is 30 cm?
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