Numerade

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The three main elements of a Web server are the hardware, operating system software, and Web server software.

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find the edge length of CsCl if the ionic radius of Cs_ is 181pm

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Q3: (10 pt.) Simplify each of the following expressions using Boolean algebra. (a) f(a, b, c, d) = b + bcd + bcd + ab + ab + bc (b) f(x, y, z, w, k) = (xy + z + w)(z+w) (z+w+k) (c) f(a, b, c) = bc(c + ca) + (ā + c)(ab + āc) (d) f (a, b, c, d) = (a + c + d)(b + c)(a + b + d)(b+c)(b+c+d)

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7. What is the molecular geometry (ionic geometry in the case of ions) that VSEPR theory predicts for NO$_2^+$? (a) bent (V-shaped) b) linear c) trigonal planar d) tetrahedral e) trigonal pyramidal

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Question 13 Find $\frac{\partial w}{\partial s}$ using the appropriate Chain Rule for $w = y^3 - 5x^2y$ where $x = e^s$ and $y = e^t$, and evaluate the partial derivative at $s = -3$ and $t = 5$. Round your answer to two decimal places. -5.89 -2.72 -3.68 -4.41 -5.52

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1. Let $B = \begin{Bmatrix} \begin{bmatrix} 7 \ -2 \ 5 \end{bmatrix}, \begin{bmatrix} -6 \ 3 \ 4 \end{bmatrix} \end{Bmatrix}$ and $C = \begin{Bmatrix} \begin{bmatrix} 4 \ 1 \ -5 \end{bmatrix}, \begin{bmatrix} 5 \ 2 \ 8 \end{bmatrix}, \begin{bmatrix} -4 \ 0 \ 7 \end{bmatrix} \end{Bmatrix}$ be bases for $\mathbb{R}^3$. Find the change-\\ of-coordinates matrix from $B$ to $C$ and the change-of-coordinates matrix from $C$ to $B$. Find \\ $[x]_C$ for $x_1 = 4b_1 - 2b_2 + 3b_3$. Find $[x]_B$ for $x_2 = 4c_1 - 2c_2 + 3c_3$. Show these work by finding \\ the coordinates of each vector in the standard basis using $B$ and $C$.

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5d) Sliding bearing: A journal 25 mm in diameter supported in sliding bearings has a maximum end reaction of 2500 N. Assuming an allowable bearing pressure of 5 N/mm$^2$, find the length of the sliding bearing.

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Derive the mean and variance of a random process, X(t), which follows the following two distributions, respectively. 1) Uniform distribution [a, b] 2) Normal distribution (Î¼, Ïƒ^2) X(t) is further assumed to be independent at different time instants.

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Question 1 [3 marks] You have two six-sided dice: * One die is fair with the number 1 through to 6 occurring with equal probability. * The other die is loaded and always rolls a 5 or a 6 with equal probability. You pull one die out of your pocket and roll it. You did not check which die it was before you rolled. (Assume you could have pulled either die out of your pocket with equal probability.) a) The die shows a six. What is the probability that it is the loaded die? [1 mark] b) You pull the other die out of your pocket and roll it. It shows a 5. What is the updated probability that the first die is the loaded die? [2 marks]

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Suppose you are given 4 items below where each item i is associated with the profit p! and weight w!. In addition, the capacity of knapsack W = 16. Given that, solve the 0/1 knapsack problem to maximize the total profit. i pi wi pi / wi 1 $40 2 $20 2 $30 5 $6 3 $50 10 $5 4 $10 5 $2

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john m.