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jennifer monroe

jennifer m.

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Evaluate the following definite integral. Use C as your arbitrary constant if needed. ∫e8e33xdx

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Where are male gametophytes made in? stigma. calyx. corolla. carpel. stamen.

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Problem 3 (5 points) in $R_1$ $C_1$ $R_2$ $C_2$ $+$ $-$ $V_{out}$ The circuit shown is a 2nd-order active LP filter. Its transfer function is of the form: $H(s) = \frac{\omega_n^2}{s^2 + \frac{\omega_n}{Q}s + \omega_n^2}$ where $\omega_n = \frac{1}{\sqrt{C_1C_2R_1R_2}}$ and $Q = \frac{\sqrt{R_1R_2}}{\sqrt{R_1+R_2}}\sqrt{\frac{C_1}{C_2}}$ a) Determine the natural frequency and the quality factor for the case of $R_1 = R_2 = 10k\Omega$, $C_1 = 10nF$, $C_2 = 1nF$. b) Implement the filter in LTspice; use LT1457 op-amp model and operate the circuit from a dual $\pm 5V$. Perform .AC simulation and verify the natural frequency and the Q (by finding the frequency where the phase shift is $-90^\circ$). Provide print-out of your schematic and the magnitude and the phase responses.

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Write the sentence as a proportion: $3.50 for 9 bottles is equivalent to $31.50 for 81 bottles. Provide your answer below:

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On a bicycle, Alecia rides for 3 hours and is 20 miles from her house. After riding for 9 hours, she is 56 miles away. What is Alecia's average rate over the last 6 hours of her trip? miles per hour

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anday, scan your work into a PDF file and upload it onto Canvas) Consider a hypothetical equacking Portfolio How many shares of each of the three stocks and created this tracking portfolio with an initial investment of $12,000. b. On (6)/(18)/2024, you conducted a routine review of the portfolio in order to see if it stays equal-weighted after the price changes. Making no changes to the holdings, compute the actual portfolio weights of the three stocks based on the new prices. c. Based on your results from part b), determine whether or not the portfolio needs to be re-balanced so that it can resume equal weights. If you believe rebalancing is necessary, explain how you should adjust the holdings in each of the three stocks in order to resume equal-weights (i.e., find how many share of each of stock should be bought or sold in order to resume equal weights). d. Why this tracking portfolio should be considered a contrarian style investment? Page 1 of 4 1. r work into a PDF file and upload it onto Canvas) Stock X Price on 3/18/24 Y $10 Price on 6/18/24 Outstanding Shares(mi) Z $40 $11 on3/18/24 Outstanding Shares(mil) None of the stocks pay dividends. $200 400 on6/18/24 $150 100 400 10 100 10 How many shares of each of the three stocks do you need to purchase? prices. C. Based on your results from part b,determine whether or not the portfolio needs to be re-balanced so that it can resume resume equal weights) stocks in order to resume equal-weights (i.e., find how many share of each of stock should be bought or sold in order to d. Why this tracking portfolio should be considered a contrarian style investment? Page 1of 4

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Teresa of Avila is credited with helping to create what type of theology? Question 6 Answer a. Feminist theology b. Systematic theology c. Covenant theology d. Bridal theology

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5. (4 points) In this problem, we will approximate the value of the definite integral $I = \int_0^1 e^{x^3} dx$ using the Trapezoid Rule. Here are the error bound for the Trapezoid Rule approximation and the second derivative of the function $f(x) = e^{x^3}$. $|T_n - I| \le \frac{M_{(2)}(b - a)^3}{12n^2}$ and $f''(x) = 3xe^{x^3}(2 + 3x^3)$ where $M_{(2)}$ is an upper bound for $|f''(x)|$ on $[0, 1]$. (a) Find a practical upper bound for $|f''(x)|$, $0 \le x \le 1$. (b) How many slices $n$ should we use to guarantee that the error of approximating $I$ using the Trapezoid Rule is no bigger than $10^{-4}$? Be practical - you don't need to find the very smallest number, $n$, that works, but we would like you to come up with a whole number (your answer should not have roots in it), and someone reading you solution should find it easy to understand how you got to the practical number you got.

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012 (part 1 of 2) 10.0 points A cylinder with a(n) 2.1 cm radius and a length of 4.7 m is tightly wrapped with 3200 turns of wire. The current in the wire is decaying according to $I = I_0e^{-\alpha t}$, with $I_0 =$ 0.48 A and $\alpha = 1.9 \text{s}^{-1}$. What is the electric field at a point 6.4 cm radially from the axis of the cylinder at $t =$ 0.526316 s? Answer in units of V/m. 013 (part 2 of 2) 10.0 points A coil of 160 turns and radius 9.5 cm is con- centric with and in the central plane of the cylinder. How much power is being dissipated at $t =$ 0.842105 s in a 53 $\Omega$ resistor connected across the ends of the coil? Answer in units of W.

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In each of the following cases, decide if the set V with the described operations is a real vector space. (a) V = {(x, y) ? R²; x ? 0 and y ? 0} with vector addition + and scalar multiplication · defined as (x1, y1) + (x2, y2) = (x1x2, y1y2) a · (x, y) = (x$^a$, y$^a$) (b) V = R with vector addition + and scalar multiplication · defined as x + y = x + 2y a · x = ax (c) V = R with vector addition + and scalar multiplication ? defined as x ? y = x + y + 2 a ? x = ax + 2a - 2

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