Assignment 11.7: Polar Form of Complex Numbers Score: 0/18 0/18 answered Question 1 > Find the magnitude of the complex number z = v3 + 5i 2 =Question 2 Find the magnitude of the complex number z = 8 + 8i. Question 3 T { } r r Convert the complex number, I = 3 (035(E) + sh] (E)) , from polar to rectangular form. Enter your answer a5 :1 + M. Question 4 Write the following numbers in Polar form: r(cos 0 + isin 0) with 0 Let 21 = 10(cos(177 ) + i sin(177')) and 22 = 19(cos(158*) + isin(158")). Compute each of the following (without using a calculator). Express in complex polar form. 21 . 22 Use 0 in the interval [0, 360"). Keep r as an exact value but round 0 to nearest degree. (Type "degree" for the symbol, or find it in the drop-down trig menu.)Question 10 Calculate (-1 + 4i)". Give your answer in a + bi form a = b =O Question 11 Calculate (1 + 4i) . Give your answer in a + bi formQuestion 12 A Calculate (2 - 22) . Give your answer in a + bi formQuestion 13 > Evaluate and write your answer in a + bi form. [3(cos 81 * +isin 81" ) = Round to two decimal places.Question 14 Find 27 in polar form. The angle is in degrees 2 = 5 cis (-36) Cis. Question 15 Calculate v2 - 4i. Give your answer in a + bi form. In polar form, use the angle 0 Calculate V4 -4i. Give your answer in a + bi form. In polar form, use the angle 0 Find all complex cube roots of 3 - 4i. Give your answers in a + bi form, separated by commas.Assignment 11.8 Vectors Score: 7/20 0/20 answered Question 1 a Write the vector shown below as a combination of vectors u and 7 shown aboveVector = + Note: In both graphs, each box is 1 unit by 1 unit in size. Question 6 Q Write the vector shown above in component form. Vector = Note: In the graph, each box is 1 unit by 1 unit in size. Question 7 For the following vector, convert from magnitude and direction to x and y coordinates r = 6, 0 = 230 X = V =. Question 11 For the following vector, convert from x and y coordinates to magnitude and direction T = 5, y=7 r= =' Question 12 T U+ V= U - VE 2u - 3v = 3u + V =