Numerade

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Consider the following decay series: 128 Number of neutrons 127 126 125 124 82 II 83 I 84 85 Number of protons What type of nuclear process occurs at the transformation labeled I? A. aemission B. bemission C. positron emission D. electron capture E. gamma radiation

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A physician is switching a patient from parenteral azithromycin to enteral. The daily PO dose equivalent of azithromycin IV 250 mg BID assuming a bioavailability of $ 52 \% $ is: \[ 250 \mathrm{Hg} \times 2=500 \mathrm{mg} \]

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5 . In addition to the intrinsic cardiac conduction system, which initiate and distributes the electrical impulses that control cardiac activity, many other factors affect the rate at which the heart contracts. The most important of these effects are exerted by the autonomic nervous sytem (ANS) b. Name two other factors that influence heart rate.

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(2) $\lim_{x \to \infty} \left( \sqrt{9x^2 - 5x - 3x} \right)$

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Which is not true for a linear search algorithm? The algorithm starts at the beginning of the list. The algorithm checks each element until the search key is found. The algorithm will compare all elements if the search key is not found. The algorithm starts at the end of the list.

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Question 3 The spot price of an asset, that provides no income, is $30 and the risk-free rate for all maturities (with continuous compounding) is 10%. (a) What is the three-year forward price? (b) Suppose the market quoted forward price is $44. Is there an arbitrage opportunity? (c) Show using a payoff Table the transactions you would undertake and the amount of arbitrage profits earned.

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Bonus Problem (20pt) Consider the linearized modeling of an inverted pendulum on a cart. $(M + m)\ddot{x}(t) + b\dot{x}(t) = f(t) + ml\ddot{\theta}(t)$, $(J + ml^2)\ddot{\theta}(t) - mgl\theta(t) = ml\ddot{x}(t)$. (a) (10pt) Let the state variable be $z = \begin{bmatrix} x, \dot{x}, \theta, \dot{\theta} \end{bmatrix}^T$. Write the equation of motion in state-space form and identify A and B matrices. (b) (10pt) Let $M = 0.5$ kg, $m = 0.2$ kg, $b = 0.1$ N/(m\s), $l = 0.3$ m, $J = 0.006$ kg m$^2$. Using MATLAB, plot impulse response using state space model for 1 second.

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Consider the two vectors shown below. The two vectors have magnitudes of $|\vec{A}| = 24$ and $|\vec{B}| = 12$. The small angles the two vectors make with the x-axis are $\theta_A = 34^\circ$ and $\theta_B = 38^\circ$. Determine the magnitude of the vector $|\vec{C}|$ given by: $\vec{C} = 4\vec{A} + 1\vec{B}$ Please express your answer using zero decimal places.

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7.86 The gap in the circuit seen in Fig. P7.86 will arc over PSPICE whenever the voltage across the gap reaches 36 kV. The initial current in the inductor is zero. The value of $\beta$ is adjusted so the Thévenin resistance with respect to the terminals of the inductor is $-3 \text{ k}\Omega$. a) What is the value of $\beta$? b) How many microseconds after the switch has been closed will the gap arc over? Figure P7.86 2 $\text{k}\Omega$ $t = 0$ $i_o$ + 120 V 6 $\text{k}\Omega$ $\beta i_o$ 300 mH Gap 7.87 The switch in the circuit in Fig. P7.87 has been PSPICE closed for a long time. The maximum voltage rating of the 16 nF capacitor is 930 V. How long after the switch is opened does the voltage across the capaci- tor reach the maximum voltage rating? Figure P7.87 4 $\text{k}\Omega$ $t = 0$ 11.5 $\mu \text{A}$ 8 $\text{k}\Omega$ 16 nF 16 $\text{k}\Omega$ 1.6 mA

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1. If you can earn 10%, how long will it take for an investment today of $700 to grow to $5000? 2. If you save $100 monthly and your bank promises 15%, how many months will it take to accumulate $25,000? 3. If you borrow $150 and repay $800 monthly at a rate of 6%, how many months will it take to repay the loan?

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laura b.