1a.)Write i + 3 in the form R e^(i). Write as a rational number…
Question Answered step-by-step 1a.)Write i + 3 in the form R e^(i). Write as a rational number… 1a.)Write i + √ 3 in the form R e^(iθ). Write θ as a rational number times π. b) Do the same for i − √ 3. c)Show that the two square roots of R e^(iθ) are ± √ R e^(iθ/2) . Hint: This is easy! Don’t work too hard. d. Use the result of c. to find the square roots of 2i and 2 + 2i √ 3.2. Find all six solutions to the equation z^6 = 1 and write each in the form A + iB and plot them in the complex plane. Hint: write z = Re^(iθ) for R real and positive, and find R and θ3. Image transcription text1.5. Find three independent solutions to the differential equation (5″ @f(t_l+f(i)=0- |You should use complexexponentisls to derive the solutions, but express the results in real Iform. … Show moreI need the answers to this three questions . Even though these questions are maths but they are a from a physics book ch-Harmonic Oscillation. I don’t remember much about complex number or about differential equations so I need detailed step by step explaination of the solutions to these three questions. ^ this sign refers to power Science Physics PHY PHY103 Share QuestionEmailCopy link Comments (0)
