Question 09. A long cylindrical conductor of radius R has a cylindrical hole of radius b (b<R). The axis of the hole is parallel to the axis of the conductor. The remaining portion of the conductor has a uniform volume current density-J parallel to the axis. Show that the magnetic field in the hole is uniform.

Your mobile phone contains a micro-electronic mechanical system (MEMS) gyroscope integrated circuit to sense physical rotation. The details are complicated (and irrelevant to the q!), but it can be approximated as a mass oscillating horizontally on a spring. For the design shown, the mass is 220 ng (2.2 x 107 kg) and it oscillates at 7.0 kHz. (a) What is the Your mobile phone contains a micro-electronic mechanical system (MEMS) gyroscope integrated circuit to sense physical rotation. The details are complicated (and irrelevant to the q!), but it can be approximated as a mass oscillating horizontally on a spring. For the design shown, the mass is 220 ng (2.2 x 107 kg) and it oscillates at 7.0 kHz. (a) What is the overall spring constant of the spring used in the design? [2 marks] To make the gyroscope work, the mass must be made to oscillate at its natural spring-mass frequency. This is achieved using electrostatic forces (attraction of opposite charges) between the mass and the body of the device. To accelerate the mass to make it oscillate, the electrostatic force must be applied in a way that reinforces the motion. This is done by measuring the position of the mass electronically and then applying the correct force based on this. (b) Using labelled diagrams and text explain how the position, velocity, and acceleration of the mass varies with time, including the phase relationship between them. [4 marks] (c) Thinking back to your mechanics study, explain how the applied force should vary with time in order to increase the amplitude of the oscillation. [hint: what variable are you trying to affect?] [2 marks] (d) If the amplitude of the oscillation is 0.20 μm (2.0 x 107 m), then calculate and explain how much mechanical and potential energy is present in the oscillator. [2 marks]

Part 1: Use PowerPoint to create a WBS in chart form for a web development project of your choosing (or you may select another type of IT project you are familiar with). It should be similar to the chart in Figure 5-4 from the text. Select an activity in Level 2 and decompose it into a level 3. Then select an activity in Level 3 and decompose it into a set of Level 4 work packages. Remember, WBSs are used to define the total scope of a project so your Level 2 should reflect that. Part 2: Recreate the same WBS defined in Assignment 5 Part 1 using Microsoft Project, GanttProject, or Microsoft Excel, indenting categories appropriately. Number the items of the WBS appropriately following the same format illustrated in Figure 5-4. Software Product Release 5.0 Project Management Product Requirements Detail Design Construct Integration and Test Planning Software Software Software Software Meetings User Documentation User Documentation User Documentation User Documentation Administration Training Program Training Program Training Program Training Program Materials Materials Materials Materials The WBS is illustrative only. It is not intended to represent the full project scope of any specific project, nor to imply that this is the only way to organize a WBS on this type of project. Source: PMBOK® Guide - Sixth Edition. Project Management Institute, Inc. (2017). Copyright and all rights reserved. Material from this publication has been reproduced with permission of PMI. FIGURE 5-4 Sample intranet WBS organized by phase in chart and tabular form

please fill in the blanks. Module 6 Problem Set eBook Show Me How Dividends Per Share 1. BE.12.08.ALGO 2. BE.11.07 Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 80,000 shares of cumulative preferred 3% stock, $20 par and 410,000 shares of $25 par common. 3. BE.12.03.ALGO During its first four years of operations, the following amounts were distributed as dividends: first year, $33,000; second year, $72,000; third year, $90,000; fourth year, $100,000. 4. BE.12.01.ALGO Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00". 5. BE.12.07 1st Year 2nd Year 3rd Year 4th Year 6. EX.12.01.ALGO Preferred stock (dividends per share) 0.41 х х Х 7. BE.12.06.ALGO Common stock (dividends per share) 8. EX.11.01 Feedback

(1 point) Determine the average rate of change of the following function between the given values of the variable: f(x) = x4 - - X; x = -2, x = 3 Average rate of change = .

Question Suppose three point masses are placed in the xy-plane as follows (assume coordinates are given in meters): mi = 5 kg, placed at (-2, -3) m2 = 3 kg, placed at (2,3) 'm3 = 2 kg, placed at (-3, -2) Find the center of mass of the system. Write your answer as an ordered pair Provide your answer below:

let f(x)= x^2-5, g(x)= 2x^3+x and p(x)= f(x)g(x). a) computedp/dx b) compute f'(x)g'(x)