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Find the Fourier Transform ^U(k; t) of the solution U(x; t) of the heat equation
Ut = Uxx x∈R t≥0U(x,0) = e(-|x| ) ,x∈RU(-∞ ,t) = u(∞,t) = 0 , t ≥ 0
Determine whether the statement is true or false. If it is true, explain why it is true. If false, give an example to show it is false.
Probability Slips of paper marked with the numbers 1,2,3,4, and 5 are placed in a box. After mixing well, two slips are drawn.
Solve the equations i. 6sinh theta - 4cosh theta-3=0 correct to 3 decimal places
Relation between Cyclic Group and Abelian Group. If G is a finite group whose order is a prime number p, then G is a cyclic group. Or, Every group of prime order is cyclic. Or, Every group of prime order is abelian.
Determine the warranty period, The project managers of a television manufacturing company plan to determine a warranty period for their 46" flat screen TV's so that only less than 4% of the time a failure would happen during the warranty period
How many permutations are there of 12 objects taken five at a time? How is this answer related to answers in 1 and 2?
If the mean is 510, the standard deviation is 80, and the SAT Math scores are rounded to the nearest 10 points, what is the lowest SAT Math score that would be used for sending letters?
Let f be a non-negative monotone continuous function defined on the interval (0
Choose h and k such that the system has (a) no solution, (b) a unique solution and (c) many solutions.
Probability questions
What is the monthly payment?
starting at 8 A.M. determine the number of times in the next 24 hours for which the hour and minute hands on a clock coincide?
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