Numerade

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1 True or False 1.5 points The financial services companies that connect investors and borrowers are called market makers. True False 2 Multiple Choice 1.5 points

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今sm The inner and outer surfaces of a cell membrane carry a negative and a positive charge, respectively. Because of these charges, a potential difference of about 0.970 V exists across the membrane. The thickness of the cell membrane is 8.0\times 10^(-9)m. What is the magnitade of the electric field in the membrane?

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(1 point) a) The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = 4 sin x on the interval [0, π]. The value of this Riemann sum is 5 2 -pi/2 pi/2 3pi/2 Left endpoint Riemann sum for y = 4 sin x on [0, π] b) The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) = 4 sin x on the interval [0, π]. The value of this Riemann sum is | -pi/2 3 2 1 pi/2 3pi/2

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According to the molecular orbital theory how many molecular orbitals are formed when the six p-orbitals of benzene combine? 03 Ο 12 04 05 06

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(i) Why can’t we compute the Taylor polynomial of ln(x) about a = 0? (ii) Write out the Taylor polynomial at x, about a = 0, of degree 5 for f (x) = ln(1 + x), along with the corresponding remainder. (iii) Give an upper bound for this remainder when x = 0, x = 0.01 and x = 0.1. (iv) How does the derivative of the Taylor polynomial found in part (ii) compare to the fourth-order Taylor polynomial about a = 0 for f (x) = 1/(1 + x)?

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Problem 4 - AC Analysis & Power (30 points) For the circuit below. The sources are represented in RMS. a) Calculate the voltage $V_1$ (in RMS). b) Calculate the complex power for the current source. c) Draw the power triangle of the current source. Label the values on the triangle. d) What is the power factor of the source?

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Problem 4: 15 Points Revisiting a problem from Exam 3: An electron ($-e$) and a proton ($+e$) are each traveling with the same magnitude of ve- locity $v_0$ and at a certain moment in time are separated by $y_0 \hat{j}$ and $x_0 \hat{i}$ a) (5 points) Find the total force from both Electric and Magnetic Fields on the pro- ton exerted by the electron in terms of the given variables. b) (3 points) Draw a new visualization of this situation in the reference frame of the proton c) (7 points) Find the new Electric and Mag- netic Fields in this new frame of refer- ence and show it gives the same force as found in part a

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Please see the attached picture. Any help is appreciated. Chapter 5, Problem 5.126 Incorrect The circular disk rolls to the left without slipping. If a = -2.73 m/s^2, determine the velocity and acceleration of the center O of the disk. 265 265 340mm Answers: Vo = Ji m/s ao = Ji m/s^2

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In the steady state of the Solow model, at what rate does output per person grow? At what rate does capital per person grow? How does this compare with the U.S. experience? please write it in your own words

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13) What is the volume of the square pyramid below? 24 5 16

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edward f.