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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.
A bond with a face value of $1000 and 15 years remaining until maturity pays a coupon rate of 10%. Calculate its yield to maturity if it is priced at $900.
what is the average velocity of the car between t = 0 and t = 40 seconds? what is the velocity of the car at t = 40 seconds? what is the distance traveled from t = 0 to t = 40 seconds?
A composition of the integer k into n parts is a list of n positive integers that add to k. How many compositions are there of an integer k into n parts?
With what initial velocity must an object be thrown upward from the ground to reach the height of a national monument (580 feet)? Use a(t) = -32 feet per second as the acceleration due to gravity. (Round to 2 decimal places.)
Find the exact area of the surface obtained by rotating the curve about the x axis y=sinpiex/6,0
As a balloon in the shape of a sphere is being blown up, the volume is increasing at a rate of 4 [cubic inches/s]. At what rate is the radius increasing when r = 1 inch?
MATH 16A WORKSHEET 8. A cup is to be designed in the shape of a hollow cylinder with one of the circular discs removed. What is the minimum and maximum surface area that the cup could have, assuming that we want it to be able to hold π cm3 of wate..
The American Orthopedic Foot and Ankle Society in a study of 356 women found that 313 women were wearing shoes that were at least one size too small.
Find Probability -Length of Machine Produced Metal Strips. Length of metal strips produced by a machine are normally distributed with mean length of 150 cm
A farmer decides to enclose a rectangler garden, using the side of the barn to enclose one side of the area, what is the maximum area the farmer can inclose
A farmer has 700 ft of fence with wich to fence a rectangular plot of land. The plot lies along a river so that only 3 sides need to be fenced. Estimate the largest area that can be fenced.
given the following information would your decision be to reject or fail to reject the null hypothesis? setting the
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