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An airplane is flying on a bearing of 265 degrees at 420 kmph. A wind is blowing with a bearing of 170 degrees at 20 mph. Find the actual speed and direction of the plane.
Find the Fourier series expansions of f(x) = Co + C1x^2 with respect to the following two orthonormal bases on the interval [0,L] (L>0)
A rectangular package can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume. Assume cross section is square.
Find the unit price and profit functions.
Find the volume of the pyramid with a rectangular base. 11 in height, 12 in length, and 10 in width.
Define a Markov chain with r+1 classes and find its transition probability matrix.
Single women. The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in 2000 (Census Bureau, www.census.gov). Let 1970 be year 0 and 2000 be year 30.
In the following, we are in the process of determining whether integer n = 1373 is a prime or not, using the Rabin-test. Assume that a random number generator returns a = 5. Use modular exponentiation to evaluate the relevant expressions, and disc..
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.
Find the altitude of a parallelepiped determined by vectors A, B, and C if the base is taken to be the parallelogram determined by A and B and
Suppose u(x, y) and v(x, y) are harmonic in a region under? Under what condition is the product u(x, y) . v(x, y) harmonic? In particular, when is (u^2)(x, y) harmonic?
Write Boolean expression & draw the gate logic diagram & typical PLC logic ladder diagram for a control system wherein a fan is to run only when all of the following conditions are met:
Probability of Coins Drawn, Suppose you have 6 nickels, 4 dimes, and 2 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
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