Numerade

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$ \lim _{x \rightarrow \infty} \frac{\sinh (x)}{e^{x}} $

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Question 4 (a) Consider the trigonal bipyramidal tungsten complex: [W(CO)3(PMe3)2] (i) Draw the structure of the cis- and trans-isomers. (ii) Discuss how you would use NMR to distinguish between the isomers. (iii) Discuss how you would use IR spectroscopy to distinguish between the isomers. (iv) Explain how the IR spectrum (CO region) would change if the PMe3 ligands were replaced with PF3 ligands. (Illustrate your answer with suitable diagrams) [20 Marks]

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Complete at least one of the two problems below. 3. (12 points) Use Gaussian Elimination (row operations) to determine the value of k for which the following system is consistent. 1 -3 -1 3 5 3 -8 -13 -8 -2 -3 k

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Consider the intertemporal consumption-saving model under uncertainty. In particular, assume that the instantaneous utility function is quadratic and illustrate the so-called Random-Walk Hypothesis.

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Ships A and B leave port together. For the next two hours, ship A travels at 30 mph in a direction 36$^\circ$ west of north while ship B travels 20$^\circ$ east of north at 25 mph Part A What is the distance between the two ships two hours after they depart? Express your answer in miles. $R = $ Submit Request Answer Part B What is the speed of ship A as seen by ship B? Express your answer in miles per hour. $v = $ Submit Request Answer

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Exercise 4 Let u be a differentiable function on $\mathbb{R}^2$ and let $v(s,t) = u(a(s,t), b(s,t))$, where $a(s,t) = e^s \cos t$ and $b(s,t) = e^s \sin t$ Show that $v_{ss}(s,t) + v_{tt}(s,t) = (a^2 + b^2)(u_{11}(a, b) + u_{22}(a, b))$, where for simplicity, we wrote $a = a(s,t)$ and $b = b(s, t)$.

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Texts: Suppose that n = 0 following series? (a) n = 0 When compared to the original series, we see that x = value of x, we know that this series is divergent. Here. Since the original series is divergent for that particular n. (b) n = 0 When compared to the original series, we see that x = value of x, we know that this series is divergent. Here. Since the original series is divergent for that particular n. (c) n = 0 When compared to the original series, we see that x = value of x, we know that this series is divergent. Here. Since the original series is divergent for that particular n. (d) L(-1)^c, 9n n = 0 When compared to the original series, we see that x = value of x, we know that this series is divergent. Here. Since the original series is divergent for that particular n.

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1A 59-year-old adult male presents with the complaint as outlined below. The pharmacist quickly assesses the patient using the PQRSTA approach and collects the following information. CC: "I am having some pain in my wrist. Where are your pain medications?" P: Ice helps relieve the pain.

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3. Find the Taylor series of the following functions, and their disks of convergence: \begin{align*} (a) \ f(z) &= \cos z, \text{ at } \frac{3\pi}{4}; \\ (b) \ g(z) &= \frac{1}{z^2(z^2+1)}, \text{ at } 1; \\ (c) \ h(z) &= \frac{1}{z^2+z+1}, \text{ at } 1; \\ (d) \ p(z) &= (1+z)^a, \text{ at } 0. \text{ Here } a \text{ is a complex number and } (1+z)^a \text{ is defined using the} \\ &\text{principal branch of logarithm } \text{Log}: \mathbb{C} \setminus (-\infty, 0] \to \mathbb{C}. \end{align*}

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1. 1107 450 lb-ft A 2 ft 5 160 lb 4 ft X B -3 ft- 20 lb 20 The structure shown is fixed at A and is in equilibrium. IMAGES NOTES DISCUSS UNITS STATS HELP PREFERENCES Part Description A. What is the horizontal reaction (lb, +?) at A? Answer Save Status 11.11 pts. 100% #tries: 0 Show Details 5% try penalty B. What is the vertical reaction (Ib, +?) at A? 11.11 pts. 100% #tries: 0 Show Details 5% try penalty C. What is the moment reaction (ft lb, +CCW) at A? 11.11 pts. 100% #tries: 0 Show Details 5% try penalty

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christine r.