Question: 1. Evaluate (1+ V3i)' using De Moivre's theorem 2. Evaluate (-1 + j) 3. Express in polar form (a) 3+3j, (b) - 2 -

1. Evaluate (1+ V3i)' using De Moivre's theorem 2. Evaluate (-1 +

1. Evaluate (1+ V3i)' using De Moivre's theorem 2. Evaluate (-1 + j) 3. Express in polar form (a) 3+3j, (b) - 2 - 2 3 j 4. Evaluate z + 16 = 0 5. Find all the roots of z* +z +1=0 and locate them in the complex plane. 6. Solve the equation z +(j-2)z+(3- j) =0 7. Find the sixth roots of - 27j 8. Solve z(1-z) = 16 Hint: z* -z +16= z* +8z +16-9z? = (z' +4+3z)(z +4-3z) = 0 9. Solve the equation z+1= 3j 10. Find an equation for a circle of radius 4 with center at (-2, 1). 11. A man travels 12 miles northeast, 20 miles 30 west of north, and then 18 miles 60 south of west. Determine (a) analytically and (b) graphically how far and in what direction he is from his starting point. Ans. 14.7Z135.8 %3D 20 30% 12

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1 Evaluate 13i10 using De Moivres theorem Answer Using De Moivres theorem 13i10 can be written as cos103 isin103 Therefore 13i10 cos103 isin103 12 i32 2 Evaluate 1j Answer Using De Moivres theorem 1j ... View full answer

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