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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.
Did you state probable solutions to all parts of the problem statement? Did you organize your information in paragraph form using at least 100 words?Did you reply to two other students' posts with appropriate replies using at least three sentences..
Determine the amplitude, period and phase shift of Y = ½ sin (x+π) and graph one period of the function.
question a park in a subdivision is triangular-shaped. two adjacent sides of the park are 533 feet and 525 feet. the
Estimate that the interest rate might increase or decrease by as much as one percentage point. Also, the price of the house might increase by as much as $10,000-it certainly won't decrease.
Given a line segment of length 1 inch, how do I construct a line segment of squareroot(6), squareroot(7), squareroot(8), etc. Also, given a wire of total length 4236 feet, how do I construct a golden triangle from the wire?
a grower planned to plant 160 trees in an orchard. he planted n equal rows. write down an expression for the number of
Please do NOT work this problem. but how would you know in this case whether to approach it from a min/max point? Is there anything other than the obvious "least" keyword?
Four years after buying 150 shares of stock for $70 per share, you sell the stock for $ 16,100. What is the total return in percentage and the annual return in percentage?
Find all of number for which the rational expression: (x+4) / (x^2 - 3x -10), is not defined. Explain your answer and add explanatory text for each line of algebra. What role does the numerator play and why?
the perimeter of a rectangle is 54 feet. describe the possible lengths of a side if the area of the rectangle is not to exceed 152 square feet.
A Cooling evaporator in a fridge case with a design temperature of 5 Deg C. The Air off and Air on the fridge coil varies pending Ambient, Product, Product temperature/Mass etc.
Two investments are made totaling $8800. For a certain year these investments yielded $1326 in simple interest. Part of the $8800 was invested at 14% the part at 16%. Find the amount invested at each rate.
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