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A techniclan working for the Chase-National Food Additive Company would ille to eximuse the preserving abaily of a new additive. This additive will be used for Aunties brand preserves. Based on past tests, is is believed that the time to spoliget lor the addive has a standard deviation of 17 days. To be 99% confident of the true mean time to spollage, what sample scre will be needed to estimate the mean time to spoiluge woth an accuracy of one dige?

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Answer the following questions for the function f(x) = \frac{x^3}{x^2 - 1} defined on the interval [-15, 15]. a.) Enter the x-coordinates of the vertical asymptotes of f(x) as a comma-separated list. That is, if there is just one value, give it; if there are more than one, enter them separated commas; and if there are none, enter NONE. Answer: b.) f(x) is concave up on the region Note: Give your answer in interval notation. c.) Enter the x-coordinates of the inflection point(s) for this function as a comma-separated list. Answer:

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1. Watson and Holmes are lost in the moors outside of Baskerville. Locally the terrain corresponds to the function $h(x, y) = x^2y - 3e^{x^2 - 1}y^3$, where $h$ is height, and all measurements are in meters. They are currently located at point $P(-1, 1)$. Assume that the north is in the positive direction of $y$-axis, and east is in the positive direction of $x$-axis (a) Find the expressions of partial derivatives $\frac{\partial h}{\partial x}$ and $\frac{\partial h}{\partial y}$ and their values at $P$. (b) Find the expressions of all the second-order partial derivatives. (c) If they choose to travel east, they are travelling ____ (uphill/downhill) at a slope of ____. (d) If they would like to travel uphill as soon as possible along $x$-axis or $y$-axis, they should travel ____ (north/south/east/west).

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For the following series resonant bandpass filter, find the center frequency of the pass band, the bandwidth, and the output voltage at the center frequency. Given: • Vin = 18 V • Rw = 20 ? • RLoad = 200 ? • L = 4.7 mH • C = 24 pF Resonant Frequency: fr = kHz Bandwidth: BW = kHz Output Voltage at the Center Frequency: Vout = V

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We tend to say that the heart rate is linear with work (i.e., intensity). This is true, but it is true because is also linear (generally) with intensity.

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Problem 5. The NMOS and PMOS transistors in the below circuit are matched with $k_n = k_p = 1 mA/V^2$, and $V_{tn} = -V_{tp} = 1 V$. Assuming $\lambda = 0$ for both transistors, find the drain currents $i_{DN}$ and $i_{DP}$ And the voltage $v_o$ for $v_i = 0 V, +2.5 V.$

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New Tab + webapps/blackboard/execute/content/file?cmd=view&content_id=20036241&course_id=713751 Play Music Contemporary Japan 1 Messages _paf System Sentinel An... ForeSite SmartBuy Sitewatch MyRig ANHFUe If it does not open automatically, you can open Test Il here. 2. A 200 A current through a spark plug moves 0.3 mC of charge. What was its duration? 3. 10 meters of copper wire is carrying 50 A of current at 240V. If the resistivity of copper is 2.65 x 10^-8 Î©m, what is the diameter of the wire? 4. A 2.0 F and 8.0 F capacitor can be connected in series or parallel, as can a 30 kÎ© and 70 kÎ© resistor. Calculate the four RC time constants possible from connecting them in series and parallel.

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Problem 1: Consider the closed loop system presented in the following figure. R(s) + E(s) C(s) G(s) Let K G(s) = \frac{K}{s(s + 1)(s + 2)(s + 6)} a. Find the range of K for stability. b. Find the value of K for marginal stability.

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Question 2: The periodic signal $x(t)$ is defined in one period as $x(t) = A_0 + A_1 \cos(\omega_1 t) + A_2 \cos(\omega_2 t) + A_3 \cos(\omega_3 t)$ in the interval $0 \le t \le 5$. Plot the signal $x(t)$ for the following values of constants and plot the amplitude of each corresponding angular frequency. $A_0$ 2 $A_1$ 1 $A_2$ 0.3 $A_3$ 3 $\omega_1$ $2\pi$ $\omega_2$ $4\pi$ $\omega_3$ $6\pi$

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Problem 1 (50 pts): $I = \sqrt{3}I$ $MVA = MW$ $MVar = MW$ A 3 phase induction motor can be simplified as a wye connected impedance in series with a line. Assume that this is the case: Figure 1: Simplified induction machine for problem 1 Set $Z_m = 1.5663 + j0.6529$ ohms per phase, and $Z_{line} = 1.0395 + j0.2561$ ohms per phase. Determine the complex, apparent, real and reactive power and power factor into the induction machine (the power absorbed by $Z_m$ and $Z_{line}$), as well as the power, in horsepower being output by the machine. (Real power to $Z_m$) given this arrangement the terminals are energized to 460 V line to line. ($V_g = 460 V$)

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