Math 1200: tutorial 5 for oral presentation during tutorial 6 on thursday june 6, 2019 at least 4 of you will be called upon randomly to present your solution orally to one of the questions below during the start of tutorial 6 1. verify iy r - iy (z2) y 2i (z-2) and use for the following (a) identify the graph of |z + 45 in the complex plane (b) identify the graph of (1i)z + (1- i)z = 2. (c) find the equation (in terms of zz coordinates) of the line 2y 4 - (d) identify the graph of iz 2 1+ i 2. explain with a picture (drawing of the unit circle in the complex plane) why there two complex numbers z such that 21 = 1 and that satisfy the equation |2| = |z - i l. find both such complex solutions and express them in euler form z rei and in the usual form za+ bi are 3. solve the quintic equation 25- v3+ i = 0.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

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answer:

c) the x-coordinate of the center of the circle increases by 3