i Determine the three cube roots of 7-9j in complex polar form, using radialn (2 marks measure i Sketch the three cube roots from part i) on the Argand diagram. Use best practice for (2 marks the dev...
The purpose of this question is to calculate the three cubic roots of a complex number. A complex number is of the form a + ib where i is v-1. The magnitude r of a complex number is Vab. The complex number a + ib can be written as r(cos θ + i sin θ). Therefore a -r cose and b rsin0 and b/a (r sin0)/(r cos0) - tane e- arctan(b/a). The 3 cubic roots of a complex number are...
Question 3.1 (10 marks) Consider the two complex numbers-V3+i and 2 3 cis(-/3) a) Write 1V3+i in polar form, in terms of its principal argument. b) Use your answer in a) to evaluate z1/21 in polar form, and then convert that into cartesian form. c) Using their polar forms, determine z122 and z2/句in terms of their principal argument. d) Determine (22)2 in polar form, in terms of its principal argument. e) Determine all distinct values of (22)1/3 in polar form,...
2 part a and b , 3 part a and b 7 marks 2. Consider the Fourier transform pair a) Use the appropriate Fourier transform properties to find the Fourier transform of te-lti 5 marks) b) Use the results from part (a) and the duality property to determine the Fourier transform of 4t f(t) = (1 +t2)2 [15 marks 3. For the discrete time system shown in fig. 1 a) Determine the transfer function Hint: The best starting point is...
Have I done part f) and g) correctly? PART A: Structures Questions Three (3) questions; Answer all questions; The questions carry the number of marks indicated; Total marks for Part A is 24. Answer the questions on this Examination Question Paper in the spaces provided. Nothing written on an answer booklet, on scrap paper or else where will be marked for Part A. Signs and units are an essential part of any answer. Some formulas and solutions of elastic curves...
hi i need answer from part d Question 2 (48 marks) Consider a firm which produces a good, y, using two factors of production, xi and x2 The firm's production function is Note that (4) is a special case of the production function in Question 1, in which α-1/2 and β-14. Consequently, any properties that the production function in Q1 has been shown to possess, must also be possessed by the production function defined in (4). The firm faces exogenously...
Can't figure out the concentration of the complex of solns. 10, 11, 12, 13, & 14. Modern Experimental Chemistry Chemistry 153 The Iron(III) Thiocyanate Complex Purpose of the Experiment To determine the chemical formula of a complex ion and measure its formation equilibrium constant Equipment Spectro Vis spectrophotometer and LabQuest, cuvette, 25-mL buret (3), ring stand, buret clamp (2), 50-mL beaker (3), small plastic beakers Reagents SCN, as KSCN, 0.00200 M solution Fe; as Fe(NO), 0.00200 M solution and a...
Assume that we have three independent observations: where Xi ~ Binomial(n 7,p) for i E { 1.2.3). The value of p E (0, 1) is not known. When we have observations like this from different, independent ran- dom variables, we can find joint probabilities by multiplying together th ndividual probabilities. For example This should remind you the discussion on statistical independence of random variables that can be found in the course book (see page 22) Answer the following questions a...
Section 1 Tube [FeSCN^+] M Absorbance 1 0.0005 0.016 2 0.0011 0.0422 3 0.00367 0.0917 4 0.00727 0.224 5 0.00965 0.267 6 0.0137 0.398 Part B unknown sol. 0.175 SCENARIO: Five standard solutions containing different known concentrations of an iron (II) thiocyanate (FeSCN+ ) complex are analyzed using spectrophotometry, a technique which measures the quantity of light absorbed by the solution as a function of the concentration of the analyte in solution (in this case, FeSCN+ ). The results of...
please write clearly. thanks Part I. For questions 1-10, use only the sum, product and division rules or a tree diagram to solve the problems. 1. Six different airlines fly from New York to Denver and seven fly from Denver to San Francisco. How many different pairs of airlines can you choose on which to book a grip from New York to San Francisco via Denver? 2. How many bit strings of length ten both begin and end with a...
same information used for all q1 q1 part 2 q2 (also use information from first chart) Required information [The following information applies to the questions displayed below.] For many years, Thomson Company manufactured a single product called LEC 40. Then three years ago, the company automated a portion of its plant and at the same time introduced a second product called LEC 90 that has become increasingly popular. The LEC 90 is a more complex product, requiring 0.60 hours of...