Mathematics, 22.05.2020 11:02 lilpetals

Which expression represents the volume of this solid ?

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Mathematics, 21.06.2019 21:40

Which statement is true about a number and its additive inverse? a. their product is always one. b. their sum is always one. c. they are always reciprocals of each other. d. their sum is always zero.

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Mathematics, 22.06.2019 07:00

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Mathematics, 22.06.2019 07:30

Ece 202: problem set 1 due: june 14, 2019 (friday) the first 3 questions of this homework assignment covers some fundamental mathematical concepts that will play a role in this course. the remaining questions are on basic signals and laplace transforms. 1. a review of complex numbers. (a) compute the magnitude and the phase of the complex numbers −4 +j, and write them in polar form (i.e., of the form rejθ). also, plot the complex number in the complex plane. (b) simplify the complex number 1 4 − √ 1 2 − j √ 2 22 and write them in cartesian form. (c) consider the complex number s = z1z2 · · ·zm p1p2 · · · pn , where each zi is a complex number with magnitude |zi | and phase ∠zi , and each pi is a complex number with magnitude |pi | and phase ∠pi . write the magnitude and phase of s in terms of the magnitudes and phases of z1, z2, . . , zm, p1, p2, . . , pn. 2. a review of differentiation. (a) find df dx for the following functions. i. f(x) = (1−4x) 2 √ x . ii. f(x) = √ 1 + tan x. (b) find dy dx for the equation e x sin y + cos2 x cos y − x 3 = 0.

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Mathematics, 22.06.2019 07:50

Assume the population consists of the values 1, 3, 14. assume samples of 2 values are randomly selected with replacement (see page 23 for a definition) from this population. all the samples of n=2 with replacement are 1 and 1, 1 and 3, 1 and 14, 3 and 1, 3 and 3, 3 and 14, 14 and 1, 14 and 3, and 14 and 14. for part a) of this project, find the variance σ2 of the population {1, 3, 14}. for part b) of this project, list the 9 different possible samples of 2 values selected with replacement, then find sample variance s2 (which includes division by n-1) for each of them, and finally find the mean of the sample variances s2. for part c), for each of the 9 different samples of 2 values selected with replacement, find the variance by treating each sample as if it is a population (using the formula for population variance, which includes division by n), then find the mean of those population variances. for part d), which approach results in values that are better estimates of σ2 from part a): part b) or part c)? why? when computing variances of samples, should you use division by n or n-1? upload your answers for a), b), c), and d). the preceding parts show that s2 is an unbiased estimator of σ2. is s and unbiased estimator of σ? the above problem is from triola’s essentials of statistics, 4th edition.