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QUESTION 3 A thin cylinder 3 m internal diameter, 8 m long with walls 4 mm thick is subjected to an internal pressure of 30 kN/m², v=0.3, E=210 GPa. Determine: (a) The hoop stress and longitudinal stress. (b) The change in internal diameter and the change in length. (c) If, in addition to the internal pressure, the cylinder is subject to a torque of 50 Nm find the magnitude of the principal stresses set up in the cylinder.

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Which one of the following bonds is the most sensitive to changes in interest rates? Group of answer choices 3-year; 4 percent coupon 3-year; 0 percent coupon 7-year; 4 percent coupon 7-year; 0 percent coupon

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4. Taxes paid for a given income level Dmitri is getting ready to do his taxes. He is single and lives in New York City. Dmitri earned $200,000 in 2020. He reviews the following table, which shows the IRS tax rates for a single taxpayer in 2020. On Annual Taxable Income... The Tax Rate Is... (Percent) Up to $9,875 10 From $9,875 to $40,125 12 From $40,125 to $85,525 17 From $85,525 to $163,300 20 From $163,300 to $207,500 23 From $207,500 to $518,400 30

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A matrix, A, is diagonalizable if there exists an invertible matrix $S$ such that $S^{-1}AS$ is a diagonal matrix, and in that case, we say that $S$ diagonalizes $A$. Suppose $A = \begin{bmatrix} 4 & 1 \\ -2 & 1 \end{bmatrix}$. Which matrix $S$ diagonalizes $A$, if any? $S = \begin{bmatrix} -1 & 1 \\ -1 & 2 \end{bmatrix}$ $S = \begin{bmatrix} -1 & -1 \\ 1 & 2 \end{bmatrix}$ A is not diagonalizable $S = \begin{bmatrix} 3 & 0 \\ 0 & 2 \end{bmatrix}$

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1. Complete these tasks for the following graph. y ? 6 4 g(x) 2 f(x) ?x -4 -2 2 4 -2 (3 marks) Determine the domain and range of the functions \(f(x)\) and \(g(x)\) in the graph. Clearly label your answers. Then, determine the equation for \(g(x)\) in terms of \(f(x)\) for the above graph. Justify your equations and clearly label your work. Expectations Use domains & ranges of \(f(x)\) and \(g(x)\) to determine stretches *Hint: What do you notice about the widths and heights of both \(f(x)\) and \(g(x)\)? Any application of mapping notation must show full work (including substitution) to earn full marks

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(1) \( \mathrm{CH}_{3}-\mathrm{C} \equiv \mathrm{C}-\mathrm{H} \xrightarrow[\text { THIF }]{\mathrm{BHL}^{\circ}} A \xrightarrow[\mathrm{OH}_{2} \mathrm{O}]{\stackrel{\text { OH }}{\mathrm{i}} \mathrm{C}} \)

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The cells that make up multicellular organisms send, receive, and respond to a variety of signals. Endocrine signaling is a form of cell-to-cell communication in which

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Dr. Hodges ordered a complete blood count (CBC) and a basic metabolic panel (BMP). What color top tubes will you need for these tests? Select all that apply. Gold or tiger top (red-gray) Light blue Lavender Black Royal blue Gray SUBMIT

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The nutrients that provide energy are _______. Multiple Choice proteins, fats, and water lipids, proteins, and minerals vitamins, minerals, and proteins fats, proteins, and carbohydrates

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Complications of infection with Sars-CoV-2 (Covid-19) can include all of the following EXCEPT Question 30 options: A) Diarrhea B) Acute kidney injury C) Hypercoagulopathy D) Nausea and vomiting E) All of the above have been associated with Covid-19 infection

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