Numerade

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The frame below is loaded as shown with two forces P at D. Given P, E, I, cross-sectional area A, Young's modulus E, and length l. Neglect any contributions due to transverse shear and determine the following using Castigliano's method: a) the angular rotation at C, b) the vertical deflection at D. Important: Expand the integrals as much as possible, but you do NOT need to solve for the integrals. B C A D Start $$P_o$$ $$P_l$$ $$M_c$$

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The adrenal medulla shares this trait in common with both the hypothalamus and the posterior pituitary glands

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1. The constant pressure molar heat capacity of nitrogen is given by the expression: \[ \bar{C}_{p}=\left(27.0+5.90 \times 10^{-3} T-0.34 \times 10^{-6} T^{2}\right) \mathrm{JK}^{-1} \mathrm{~mol}^{-1} \] Calculate the value of $ \Delta H $ for cooling 1 mole of nitrogen from $ 125^{\circ} \mathrm{C} $ to $ 25^{\circ} \mathrm{C} $. Units! 2. Calculate the change in the molar entropy of a solid for which \[ \bar{C}_{p}=\left(22.5+5 \times 10^{-3} T+1.1 \times 10^{-7} T^{3}\right) \mathrm{JK}^{-1} \mathrm{~mol}^{-1} \] when it is heated from $ 50^{\circ} \mathrm{C} $ to $ 250^{\circ} \mathrm{C} $. Slides 7\&8, lect. 2 3. Repeat the working on slide 14 of lecture 2 , using $ \mathrm{dH}=T \mathrm{~d} S+V \mathrm{~d} p $, to derive a formula for $ C_{p}=\left(\frac{\partial H}{\partial T}\right)_{p} $ in terms of $ S $ and $ T $. 4. From the notes for Lecture 3: $ \mathrm{d} H=T \mathrm{~d} S+V \mathrm{~d} p $. (E1) a) Obtain a formula for $ \left(\frac{\partial S}{\partial p}\right)_{H} $ (constant $ H $ means $ \mathrm{d} H=0 $ in E1). b) Dividing both sides of E 1 by $ \mathrm{d} S $ find a formula for $ \left(\frac{\partial H}{\partial S}\right)_{p} . \quad(\mathrm{d} p=0) $ c) Dividing both sides by $ \mathrm{d} p $ find a formula for $ \left(\frac{\partial H}{\partial p}\right)_{S} . \quad(\mathrm{d} V=0) $ 5. Simplify (i.e. multiply out brackets etc.) a) $ (5+i)+(3-i) $ b) $ (2-4 i)^{*}+(3-3 i)^{*} $ c) $ 2(i+1)-i(1+i)^{*} $ d) $ { }^{5} $ e) $ (2+5 i)(3+2 i) $ f) $ |4+4 i|^{2} $

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For each of the functions $y = f(x)$ described below, find $f(0)$. (a) \begin{array}{|c|c|c|c|c|c|} \hline x & -1 & 0 & 1 & 2 & 3 \\ \hline f(x) & 3 & 1 & 4 & -7 & -5 \\ \hline \end{array} (b) $y = 10 - 2x^2$ (c) (a) $f(0) = $

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(a) Using 10 mpg as the lower limit of the first class interval, construct a histogram with intervals of width 5 mpg. What is the midpoint of the cell with the largest number of observations (the mode)? (b) Now using 10 mpg as the lower limit of the first class interval, construct a histogram with intervals of width 2 mpg. What is the midpoint of the cell with the largest number of observations (the mode)? (c) Is the histogram in (b) skewed to the left or right or symmetric? symmetric skewed left skewed right

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what is the major factor associated with Internet use among patients with chronic conditions?

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(Ch. 8) In anterograde amnesia, there is an inability to remember old or new information. new information interferes with old. there is an inability to retrieve old long-term memories. there is an inability to form new long-term memories.

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Is it better to loosen a tire bolt with a short or long spanner

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Find the indefinite integral.\\ $\int (40e^{4x}) dx = $\\ $+C

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Summarize what is currently known about the effectiveness of psychotherapy and medication in the treatment of depression, and cite some of the research evidence.

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holly s.