Numerade

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Which of the following are examples of determinants of supply Prices of subsitute goods Chanhes in taxes Consumer expectations Producer expectations Number of sellers Price of the good in question Number of buyers

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Which one of the following ions does not have the correct ionic charge? $Cl^-$ $Ca^{2+}$ $P^+$ $O^{2-}$ $Mg^{2+}$

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If it takes 13 J of energy to move 3 C of charge from point A to point B, what is the magnitude of the potential difference between points A and B?

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Which statement is true? The term commonwealth is no longer used in any of the states in the United States. Louisiana has had more constitutions than any other state. Emotion plays no role in politics. The lower the income level, the more likely it is that someone will vote.

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1. Consider the piecewise function $f(x)$ given below. $f(x) = \begin{cases} x^2 - 2x, & \text{If } x < 2\\ \frac{1}{3}(x^3 - 6x + 4), & \text{If } x \ge 2 \end{cases}$ (a) Is $f(x)$ continuous at $x = 2$. (Note that $\frac{1}{3}(x^3 - 6x + 4)$ factors as $\frac{1}{3}(x - 2)(x^2 + 2x - 2)$) (b) Is $x = 2$ a critical point? Why or why not? (c) Find all critical points.

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Express the area of the region bounded by the given lines and curves as an iterated double integral. The parabola $y = x^2$ and the line $y = -5x + 14$ A. $\int_{-7}^{2} \int_{0}^{-5x + 14 - x^2} dx dy$ B. $\int_{0}^{2} \int_{14}^{-5x + x^2} dy dx$ C. $\int_{0}^{2} \int_{x^2}^{-5x + 14} dy dx$ D. $\int_{-7}^{2} \int_{x^2}^{-5x + 14} dy dx$

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The function $f(x) = 3x^5 + Ax^4 + Bx^3$ has inflection points at $x = 0$, $x = -1$, and $x = 1$. Find the values of the constants $A$ and $B$. Select one: a.$A = 0$, $B = -10$ b. $A$ has any value, $B = -10$ c. $A$ has any value, $B = 10$ d.$A = 10$, $B = 0$ e.$A = 0$, $B = 10

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3. An automobile having a mass 3000 kg deflects its suspension springs 0.03 m under static conditions. Determine the natural frequency of the automobile in the vertical direction by assuming damping to be negligible. 4. A mass of 7 kg is suspended on a spring and set oscillating. It is observed that the amplitude reduced to 4% of initial value after 2 oscillations. It takes 0.7 seconds to do them. Calculate the following. The damping ratio, a) The natural frequency, b) The actual frequency, c) The spring stiffness, d) The critical damping coefficient, and e) The actual damping coefficient.

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Question 2: [10 marks] What is the exact output of the following code: public class TestArrayList { public static void main(String[] args) { String[] arr = {"you", "is", "you", "fine"}; ArrayList<String> list = new ArrayList<>(Arrays.asList(arr)); System.out.println(list.get(2)); list.add(2, "are"); System.out.println(list); list.set(1, "be"); System.out.println(list); list.remove("you"); System.out.println(list); Collections.sort(list); System.out.println(list); } } PART 3: Problem Solving Questions [30 Marks]

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An 8085 based system has peripherals 8255, 8253 (one each) connected in memory mapped I/O mode. Choose and draw address decoders suitable for the peripherals. The system also has ROM (2 chips; each 4 KB), RWM (2 chips; each 8 KB). The ROM should be mapped at the bottom and the RWM should be at the end of memory map with absolute decoding. Draw a neat circuit diagram showing all connections starting from RD, WR,IO/\overline{M} and de-multiplexing of address and data buses and explain your design.

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mary s.