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Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $83,600. The machine's useful life is estimated at 20 years, or 398,000 units of product, with a $4,000 salvage value. Determine the machine’s second-year depreciation using the double-declining-balance method. Determine the machine’s second-year depreciation using the units-of-production method.

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4. Test the continuity of the function $f(x)$ at the point at $x = 0$ and $x = 1$, where $f(x) = \begin{cases} x^2 + 1; & x < 0\\ x; & 0 \le x \le 1\\ \frac{1}{x}; & x > 1 \end{cases}$ 5. Show that the following function $f(x)$ is discont[5]

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Atleast try to give correct answer.. 809. Explain the concept of terahertz bandpass filters.

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Simulation in Matlab using the single command Consider a system with a transfer function: G(s) num(s) = 6.3s^2 + 18s + 12.8 den(s) = s^4 + 6s^3 + 11.3s^2 + 18s + 12.8 1) Open the Matlab command window by double-clicking the Matlab icon on the desktop. To enter the above system transfer function, type the following in the command window: >> num=[0 0 6.3 18 12.8]; >> den=[1 6 11.3 18 12.8]; 2) To get the system output for a unit step input, enter: >> step(num,den); The unit step response will be

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Determine whether the integral is convergent or divergent.\\ $\int_0^9 \frac{4x - 9}{8x - 9} dx$\ O convergent\ O divergent

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How many measurements would be required so that the probability of failing to detect that the patient has high blood pressure is at most 1%?

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12:04pm • After I read the article, I find it surprised even though I knew that hand gestures from different country have sometimes the good and the bad meaning to it. I was surprised to some hand gestures because they look like it's a positive hand gesture in America. For example, I see the one where the article talks about the "Crossed Arms", in Thailand or Burma where I came from, we don't consider as what the article says, "Getting ready to fight". We consider as listening to the ones who's speaking or showing respect to adults or teachers when talking. There are some negative gestures I found like "Thumb-up" in America we just considered as a good thing, and I never had thought about the in a way the article has mentioned. One of the gestures I already know is the "feet gestures", in some Asian countries they are consider rude and unpolite. The most challenging one I can see for business professional gestures are the head shake, crossed arm, come here, and slapping your fist. Those are the ones I can think of from the article. These gestures seem normal in America, but when you're prosing your business to another country, you must learn to control and research this information so it could you and help them. • In additional to hand gestures, I think that personal space is important in different variety of culture an example would be getting too close, but in other country such as Serbia and Poland they like to greet each other kissing each other cheeks to feel welcome whereas, in America we shake hands to greet each other. Not knowing this gesture can be offensive and weird for one another. • Critical thinking skills are important to help us communicate well cross cultural. It helps us collect information by thinking it through and even before discussing what's right and wrong, critical thinking skill help us think further before speaking about it.

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For the given function $f(x)$ and the given values of $c$ and $\epsilon > 0$, find $L = \lim_{x \to c} f(x)$. \\ Then determine the largest value for $\delta > 0$ such that $0 < |x - c| < \delta \implies |f(x) - L| < \epsilon$. \\ $f(x) = \frac{16}{x}$; $c = 8$, $\epsilon = 0.7$ \\ The value of L is $oxed{ }$. \\ (Simplify your answer.)

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Q1. Determine whether the following series converge absolutely, converge conditionally, or diverge: [15] $\sum_{n=1}^{\infty} \frac{(-1)^n}{\ln(n) + 3}$ $\sum_{n=1}^{\infty} \left(\frac{2 - n}{1 + 2n}\right)^{2n}$ $\sum_{n=2}^{\infty} \frac{(-1)^n}{n\sqrt{\ln(n)}}$

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Each barrel of oil received at the refinery has about 400 pounds of oil in it and is 85% carbon by mass. How many kilograms of carbon are in the barrel oil?

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