For some practice working with complex numbers: Calculate (3-4i)+(2+5i) = , (3-4i)-(2+5i) = , (3-4i)(2+5i) = . The complex conjugate of (1+i) is (1-i). In general to obtain the complex conjugate reverse the sign of the imaginary part. (Geometrically this corresponds to finding the “mirror image” point in the complex plane by reflecting through the x-axis. The complex conjugate of a complex number z is written with a bar over it: z?? and read as “z bar”. Notice that if z=a+ib, then (z)(z??)=|z|2=a2+b2 which is also the square of the distance of the point z from the origin. (Plot z as a point in the “complex” plane in order to see this.) If z=3-4i then z?? = and |z| = . You can use this to simplify complex….
Daily Archives: March 9, 2021
Write a 2-3 page report on any one of the following topics. A supporting paper is provided for each topic. However, the report has to be prepared based on general literature beyond the supporting paper. The deadline for the submission of the assignment is 14th January, 12 noon, 2017. Your report should have proper references/bibliography. Plagiarism is strictly prohibited! Topic 1. Impact of invasive species on native species and ecosystems. Supporting paper/s: Gurevitch, Jessica, and Dianna K. Padilla. “Are invasive species a major cause of extinctions?- Trends in Ecology & Evolution 19.9 (2004): 470-474. Molnar, Jennifer L., et al. “Assessing the global threat of invasive species to marine biodiversity ” Frontiers in Ecology and the Environment 6.9 (2008): 485-492. Didham, Raphael K., et al. “Are invasive species the….
25. On January 19 2020, Fire enterprises recorded credit sales of N$5,000 (VAT inclusive), a cash payment for electricity of N$600 (VAT exclusive) on February 28th. How do these transactions affect the accounting equation? (2) Select one: Ca. Asset 4,400 Owners’ Equity=4,400 + Liabilities 0 b. Asset 4,310 Owners’ Equity=4,310 + Liabilities 0 Cc. Asset 4,347 Owners’ Equity=4,347 + Liabilities 0 Clear my choice Top of Form Bottom of Form Skip Quiz navigation 26. Malimina Mills Pty Ltd is a registered VAT vendor specialising in selling maize meal and related products. The following information was compiled for the month of May 2019: On 05 May 2019, sold maize meal to PicnPay for N$450,000 (including VAT) on credit. On 10 May 2019, purchased Corn from Corny Shop for N$300,000….
The truss shown below is supported by a pin at A and a rocker at G. Each of the six horizontal members at the bottom of the truss are 2 m in length. (1) Identify any zero force members by inspecting the joints and list them. (ii) Determine the support reactions at pin A and rocker G. (ili) Determine the forces in members KJ, CJ and CD. Indicate if each of these is in tension or compression by writing (T) or (C), respectively, next to their values. Note: Free body diagram(s) must be drawn for full credit. 6 kN 3 kN 12 kN 9 kN 6 kN – H 3 m A . OLDTOO 2 B E F – C D — 12 m, 6 @ 2 m….
1. Solve the following systems of equations 6x +3y-1 9x+5y-1 4x+y-2z = 0 b. 2x-3y+3z-9 -6x-2y + z-0 a. 2. Solve each of the following equation a. 4x-3+2-11 b. 2x-3 2(x -3) 3. Find the equation of the line that contains the given pair of points 4. Line L contains the point (5, -3) and has a graph parallel to the graph of 2x -5y -10. Find the equation for L. 5. Simplify the following expressions a. 4×2)-3×3 b. (6×2 -3x +2)-(4×2+2x-5 (12x 2) Factor completely for the following: a. 6x*-11×3 -10×2 6. b. x+4×2 -9x -36 Solve the following equations: a. (X+2)(x-5)=8 7. b. x+4×2 -9x -36-0 8. Reduce the following to the lowest term x2-x-6 a. b. 2y-32y2 9. Simplify the following to the lowest term….
The displacement vectors A with arrow and B with arrow shown in the figure below both have magnitudes of 2.22 m. The direction of vector A with arrow is 24.2°. (a) Find A with arrow + B with arrow graphically. Find magnitude (m) and direction ° counterclockwise from the +x axis (b) Find A with arrow – B with arrow graphically. Find magnitude (m) and direction ° counterclockwise from the +x axis (c) Find B with arrow – A with arrow graphically. Find magnitude (m) and direction ° counterclockwise from the +x axis (d) Find A with arrow – 2B with arrow graphically. Find magnitude (m) and direction ° counterclockwise from the +x axis
When an apple orchard owner plants 65 trees on an acre of ground, he gets an average yield of 1500 apples per tree per year. For each additional tree planted per acre, the annual yield per tree drops by 20 apples. Use this information to answer the next two questions. 54. Let x represent the number of additional trees above 65. Determine a formula for the number of trees (T) and the number of apples per tree (A). (A) and and T = 65x T = 65 + x T = 65x T = 65 + x T = 65 + x (C) (D) (E) and A = 1500 – x A= 1500 x A = 1500 – 20x A = 1500 – x A = 1500 –….
TASK 2 The Figure 2 shown below is a Piezo Electric Circuit to measure the change of pressure, force, temperature, strain and acceleration. +5Volt R2 R3 R4 333 2200 X Piezo Diaphgram T2 BCS4 Speaker C1 tu BC548 Ground Fig. 2 Piezo Electric Circuit to measure the change of pressure, force, temperature, strain and acceleration For the Circuit shown above: a. Explain in detail the Working principle of operation of the circuit. (10 Marks) b. Derive the necessary voltage and current equations from the circuit and also briefly explain the output signals generated at each component. (30 Marks) C. Draw the input and output waveforms generated at the output using CRO. (10 Marks) d. Discuss in detail the applications, advantages and disadvantages of the piezo electric sensor? (20….
Item 14 Acid refers to any molecule that is able to dissociate in water to form H (aq), which mean acids must contain at least one hydrogen atom in their formula unit. There are six strong acids (containing strongly acidic hydrogen atoms), which are acids that completely dissociate in water (HC1, HBr, HI, 3, HClO and H2SO4). All other acids, which partially dissociate, are considered weak acids (containing weakly acidic hydrogen atoms). Acids are generally categorized into one of the two following groups: binary acids and oxyacids. A binary acid is simply composed of two elements, which are hydrogen and a nonmetal. Oxyacids are composed of at least one hydrogen, one metal or nonmetal, and one oxygen. The names of binary acids are based on their chemical formula,….
Monroe Manufacturing has a quick ratio of 2.00x, $36,225 in cash, $20,125 in accounts receivable, some inventory, total current assets of $80,500, and total current liabilities of $28,175. The company reported annual sales of $300,000 in the most recent annual report. Over the past year, how often did Monroe Manufacturing sell and replace its inventory? O 13.66 x O 8.01 x O 12.42 O 2.86 x The inventory turnover ratio across companies in the manufacturing industry is 10.56x. Based on this information, which of the following statements is true for Monroe Manufacturing? O Monroe Manufacturing is holding less inventory per dollar of sales compared to the industry average. O Monroe Manufacturing is holding more inventory per dollar of sales compared to the industry average