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Math 121A: Homework 10-
1. Consider the function
f(x) = 1/1 + x4.
Calculate its Fourier transform f˜(α) using residue calculus, for the range α ≥ 0. For α < 0, find the solution using symmetry.
2. Use residue calculus to evaluate the integral
I = -∞∫∞(1 - cos x/x2)dx.
Find the probability that a male resident who was newly diagnosed with AIDS in 1998 contracted it via homosexual contact. Find the probability that a female resident who was newly diagnosed with AIDS in 1998 contracted it via intravenous drug use.
A mailman has special delivery mail for 10 customers. In how many ways can he arrange his schedule to deliver to all 10?
1. Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. f(x) = x^2 + 2x - 9
Customers selecting one of these cars have a choice of three engine sizes, four body styles, and three color schemes. How many different selections can a customer make?
Find the probability that the first k events
A plane flying into a headwind travels 216 miles in 2 hours and 42 minutes. The plane does the return flight in 2 hours. Find the speed of the plane and of the wind.
what should be the dimensions to enclose the maximum area?
Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (4, 80), and the x-axis.
the lenght of a rectangle is 7 inches more than the width. the perimeter of the rectangle is 178 inches. Find the width of the rectangle.
Management summary PowerPoint. Create a PowerPoint presentation that is suitable to a management review. Present the business problem, summarize the significant correlations with graphs, and present a summary of the regression model, with your rec..
Of the 58200 verterinarians in private practice in the u.s. approximately 27354 are female. Determine the percent of female veterinarians in private practice in the u.s.
the altitude hin ft of a jet that goes into a dive and then again turns upward is given byht16t3-240t210000where t is
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