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stacy gonzalo

stacy g.

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1. \"Ice/Heat Cube\" Problem $\frac{\partial^2 u}{\partial x^2} = \frac{1}{k} \frac{\partial u}{\partial t}$, $-a < x < a$ $u(0, t) = 0$, $u(a, t) = 0$ $u(x, 0) = f(x) = \begin{cases} 0, & -a \le x \le -\frac{3}{4}a \\ -1, & -\frac{3}{4}a \le x \le -\frac{1}{4}a \\ 0, & -\frac{1}{4}a \le x \le \frac{1}{4}a \\ 1, & \frac{1}{4}a \le x \le \frac{3}{4}a \\ 0, & \frac{3}{4}a \le x \le a \end{cases}$ (a) sketch the initial heat distribution $u(x, 0)$

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Action potentials sent along the adrenal medulla pathway will cause which of the following functions? a. Release of norepinephrine as a hormone b. Increased heart rate c. Increased breathing rate d. Decreased stimulation to digestive glands e. All of the above are correct f. Only answer choices A, B, and C are correct

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The companies are permitted to buy-back their own shares out of (a) Free reserves and Securities premium (b) Proceeds of the issue of any shares. (c) Both (a) and (b) (d) Neither (a) nor (b).

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Question 2 (1 point ) Rewrite 7^(-2) using a positive exponent and evaluate the result.

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1. Define passive filters. List several different kinds of passive filters. What is a notch filter; what is a band pass filter? Where and why are filters used? 2. Why are capacitors preferred over inductors in filter design? 3. Explain how to build a passive filter using only resistive elements.

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1. [2pt] For the circuit, find the corresponding transfer function $G(s) = V_o(s)/V_i(s)$.\newline 1?\newline 2 H\newline 0000\newline +\newline $v_i(t)$+\newline 1?\newline 1F$v_o(t)$

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1. Design two functions (50 points) a) Utilizing the multiple application trapezoidal rule presented in the slide 13 of the Lecture 10 class notes (The length of a \textquotedbl{}small\textquotedbl{} trapezoid $h_{\text{small}}$ and a function to be integrated given by a table should be transferred there using function arguments); b) Utilizing the composite Simpson's rule presented in the slide 23 of the Lecture 10 class notes (The length of a \textquotedbl{}small\textquotedbl{} trapezoid $h_{\text{small}}$ and a function to be integrated given by a table should be transferred there using function arguments) 2. (15 points) Apply two functions designed above to integrate the function $f(x)$ given by the following table x $f(x)$ 1.0 1.543 1.1 1.669 1.2 1.811 1.3 1.971 1.4 2.151 1.5 2.352 1.6 2.577 1.7 2.828 1.8 3.107 a) Using the multiple application trapezoidal rule with $h_{\text{small}} = 0.1$ b) Using the multiple application Simpson's 1/3 rule with $h_{\text{small}} = 0.1; n = 8$

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Determine if the following integral converges or diverges. If the integral converges determine its value.\\ $\int_{-\infty}^{0} \frac{e^{\frac{1}{x}}}{x^2} dx$\\ Use the Comparison Test to determine if the following integral converges or diverges.\\ $\int_{1}^{\infty} \frac{z - 1}{z^4 + 2z^2} dz$

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write a complete C++ program to perform an analysis of ex scores. The input to the program is a sequence of N ex scores, followed by -1. Example: 55 98 73 81 84 90 17 -1 Your program may assume there is at least one ex score in the input sequence, i.e. N > 0. Also assume the ex scores are valid, i.e. in the range 0..100, inclusive. Finally, assume the sequence is always followed by a -1 to denote the end of the sequence --- do not include the -1 in the analysis. The output from your program is an analysis of the ex scores: the # of scores, average, max, min, and a histogram of A, B, C, D, and F scores (assuming a standard 90-80-70-60 scale). For example, given the input sequence shown above, the output from your program should be the following: ** ex Score Analysis ** # scores: 7 Average: 71.1429 Max: 98 Min: 17 90-100: 2 80-89: 2 70-79: 1 60-69: 0 < 60: 2 **END**

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The transition to parenthood is sudden and irreversible, and some parents may be lacking in preparation or training for parenting. As a mental health professional, what types of programs could be beneficial to prepare parents? (Note that the SAMHSA.org website has some helpful information about programs).

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