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Find the Fourier Transform of f(x) = e^((-x^2)/(2a^2). note: complete the square in the x term in the exponent and make the change of variable; y=x+(*a^2)*i*b.
Use tables or a computer to evaluate the definite integral.
Please show solution in detail.
Determine whether A=B , if A is a subset of set B, if set B is a subset is a subset of A, if set A is a proper subset of set B, if set B is a proper subset of set A , or if none of these applies.
Calculation involving a change in blood pH. Although the pH of human blood is normally between pH 7.3-7.5, certain situations can take place which bring about "acidosis." Acidosis is defined as an abnormal lowering in the blood pH
Probability and chance A prison has 20 balls, 10 black and 10 white. The prisoner is to arrange the balls in 2 boxes. All of the balls must be used and there must be at least one ball in each box.
Suppose that G is a forest Consisting of k trees T1, T2, ..., Tk. Furthermore, suppose that Ti has order ni, for 1 Is the n-dimensional cube Qn Hamiltonian? Prove your answer.
The scores on a lab test are normally distributed with mean of 200. If the standard deviation is 20, find
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
Describe the history of the Chinese Remainder Theorem. Describe some of the relevant problems posed in Chinese and Hindu writings and how the Chinese Remainder Theorem applies to them.
Prove the given Φ is either a trival homomorphism or 1- 1.
Find the 99 percent confidence interval on the proportion of all such gloves that are shorter than nine inches.
Given the following table, make a PERT diagram, and determine the project time and the critical path. Provide a justification on how you obtain your project time and critical path.
In planning for a major redesign, Beth collected data at her store on several consecutive Saturday mornings. She noticed that customers arrived at the checkout at a rate of approximately 100 per hour. Fully 20 percent of the customers had 10 items..
About 12% of the population is math phobic. If two people are randomly selected, what is the probability both are math phobic? What is the probability at least one is math phobic?
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