Numerade

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2. (20 pt) Using dot notation, state the vector expression of instantaneous velocity using an x-y-z component system (i.e., express in terms of $\dot{x}$, $\dot{y}$, $\dot{z}$).

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Suppose that a report from several years ago indicated that 29% of Americans experienced difficulty in making mortgage payments. However, a news organization claims that this number should be different nowadays. To test it, the organization randomly sampled 375 Americans from 10 cities and found that 135 reported such difficulty. Do the data support the organization's claim. Use the critical value approach and the level of significance of 1% to conduct the test.

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Describe the replication of the lagging and leaing strand of DNA

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The Firm-Size Wage Premium. Data shows that Örms with more employees pay higher wages. This empirical regularity is known as the Örm-size wage premium. We want to use the theory of wage dispersion of Burdett and Mortensen (1998) to understand this phenomenon.

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10. A unity negative feedback system has a following loop transfer function. The steady-state error to a unit step input is $L(s) = D(s)G(s) = \frac{6}{s(s+3)}$ a. $e_{ss} = 1/2$ b. $e_{ss} = 0$ c. $e_{ss} = \infty$

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2- Predict whether each of the following is held together by ionic or by covalent bonds: (3 marks) a. Ammonia, NH3 …………….. b. Magnesium nitride, Mg3N2……………… c. Aluminum oxide, Al2O3………………

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In which layer of the integument would you find dense irregular connective tissue? In which layer of the integument would you find dense irregular connective tissue? epidermis papillary layer of the dermis reticular layer of the dermis hypodermis

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4. Construct a truth table for * 2 points $ p \vee \sim $. $ p|q| \sim q \mid p \vee \sim q $ T|T|__| $ \qquad $ T|F $ F \mid F $ $ \mathrm{F} \mid \mathrm{T} $ T | T

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6. (a) Consider a frictionless piston of cross-sectional area A in a cylinder shown in Figure 7.5. When the piston is pushed inwards to compress the gas in the cylinder, work is done on the gas. A F ?? Figure 7.5 (i) Describe and explain the change in the energy expended in pushing the piston inwards and the work done by the energy. (ii) Show that the work done in pushing the piston inwards, or work done on the gas, can be expressed as: W = pA?x where p is the pressure exerted by external force F. (b) The heart of a human adult, on average, pumps 6.0 litres (6000 cm³) of blood throughout the body every minute. The heart must do work to overcome frictional forces that resist the blood flow. The average blood pressure of a human adult is 1.3 × 10<sup>4</sup> N/m². [2] [1] (i) Calculate the work done by the heart to move 6.0 litres of blood completely throughout the body. Assume that the contraction of the heart is the external force, and the entire blood circulatory system inside the human body is a closed tube with length d and cross-sectional area A. The circulatory tube has a volume, V, of 6.0 litres and is completely filled with blood. (Hint: Refer to (a).) [3] (ii) Determine the power output of the heart if the process in (b)(i) is carried out once every minute. [2]

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Given the function $f(x) = 10e^{-0.25x}cos(\sqrt{x} + 1)$ (a - 10 pts) Compute the analytical derivative of $f(x)$? (b - 10 pts) Manually compute the numerical derivative of $f(x)$ at $x = 0$ using the forward, backward and central difference method (use $h = 0.1$).

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james b.