Numerade

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design a way to sythesize the products below from the given starting materials

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Question 8 (Unit 11) - 6 marks The oscillations of three particles A, B and C are governed by the matrix equation $\begin{pmatrix} \ddot{x} \\ \ddot{y} \\ \ddot{z} \end{pmatrix} = \begin{pmatrix} -3 & 1 & 0 \\ 2 & -8 & 6 \\ 0 & 3 & -3 \end{pmatrix} \begin{pmatrix} x \\ y \\ z \end{pmatrix}$, where $x$, $y$ and $z$ are the particles' respective displacements from equilibrium. (a) Show that the vector $(1 \ 2.62 \ 3)^T$ is an approximate eigenvector of the dynamic matrix (to two significant figures accuracy) by calculating the corresponding eigenvalue. (b) Calculate the corresponding normal mode angular frequency for the normal mode with the given normal mode eigenvector. (c) Give an initial displacement vector that would lead to the normal mode motion corresponding to the given eigenvector. (d) For this normal mode motion, state (with a reason) which of the particles are moving in phase.

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14.) Of the figures in a painting, $\frac{1}{4}$ are triangles and $\frac{1}{12}$ are arrows. What fraction of the figures, in simplest form, are either arrows or triangles?

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In intercultural conversations, speaking slowly is usually regarded as a sign of disrespect. True False

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Which electrolyte imbalance would the nurse suspect for a patient that is bedbound and exhibits confusion, muscle weakness, and depressed reflexes? Hypokalemia Hyponatremia Hypercalcemia Hypermagnesemia

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IV ABX med in 60 mL of 0.9% NS to be infused over 45 minutes. Microdrip

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Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C. m=9,(4,4) Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+ By=C m=9,(4,4)

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4. [-/1 Points] DETAILS SCALCET9 14.6.017. Find the directional derivative of the function at the given point in the direction of the vector $v$. $f(x, y, z) = x^2y + y^2z$, $(2, 4, 6)$, $v = (2, -1, 2)$ $D_uf(2, 4, 6) = $ Need Help? Submit Answer MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER

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I already have the answers for 1A - please help me with 1B! For 1A: [1a] = 18 [1b] = 72 [1c] = 162 thank you (11) 1. Tax on Competitive Markets. In the table below are the market supply and demand schedules for bread. Note that the supply schedule is perfectly inelastic. A $2 per unit tax will be imposed on the buyer side of this market. Price ($/loaf of bread per week) 18 17 16 15 D 0 1 2 3 s 6 6 6 6 D-T 0 1 14 4 6 2 13 5 6 3 12 6 6 4 11 7 6 5 10 8 6 6 9 9 6 7 8 10 6 8 a. Competitive Solution Pre Tax: Qp = Qs, Qc = 6, Pc = 12 [qI] = Ox(d) = sn[dnS'po1d [e1] = Ox(d - 8I) x (Z/I) = sn[dmSsuo) Tax Revenue = 0 Total Welfare w/o Tax = CS + PS + TR = [1c] Dead Weight Loss w/o Tax = 0 b. Competitive Solution w/$2 Tax Unit: Qp-T = Qs, Qt = [1d], Ps = [1e], Pp = Ps + Tax = [1f] Cons. Surplus = (1/2) x (18 - Pp) x QT = , Prod. Surplus = (Ps) x QT = [1g] Buyer Share of Tax = (PB - Pc)/T = [1h]%, Seller Share of Tax = (Pc - Ps)/T = [1jl% Tax Revenue = 2(Qr) = 12 Total Welfare w/Tax = CS + PS + TR = 90 Dead Weight Loss = TW(no tax) - TW(w tax) = [1k]

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Spartan Castings must implement a manufacturing process that reduces the amount of particulates emitted into the atmosphere. Two processes have been identified that provide the same level of particulate reduction. The first process is expected to incur \$160,000 of fixed cost and add \$60 of variable cost to each casting Spartan produces. The second process has fixed costs of \$100,000 and adds \$80 of variable cost per casting. a. What is the break-even quantity beyond which the first process is more attractive? The break-even quantity is castings. (Enter your response as an integer.)

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heather i.