Please label each part.

Learning Objectives: 0 111.8 Complex Numbers and Euler Formula Instructions: 0 Answers to these problems must. be submitted through Canvas. 0 Points will be deducted for incomplete reasoning and disorganized work (even if answers are correct). a Late submissions will not. be accepted. 1. For this problem consider the complex numbers .3 = 3 + 2-}. and w = 5 .i. For the following, give your answer in standard form a. + bi, where a. and b are real. (a) Calculat) : + m. (1)) Calculate z w. (c) Calculate 2w. ({1} Calculate 3. TN 1... \"L -I lab! 42 2. Consider the complex numlnrs :: : 2c and a: = 4r- (a) Use Euler's identity separately for z and 1e, and then calculate we. (live your answer in stan- dard e. + M form. (1)) Do the. same calculation but. rst. calculate 2m while still in exponential form (using familiar exponential arithmetic), then use Euler's identity on the result. Give your answer in standard a, + bi form, making sure your answer agrees with (a). 3. Express the following complex numbers in the form "rem with t] g 9