Simplify the following in polar and algebraic form: (1+5i)³ -1+2i
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- Represent the following numbers in polar, determine the magnitude or absolute value of each number and its angle or argument. -1000(4-i)*+(1–2i)5 • Z 10(4+3i)®+(1+i)³Write the following numbers in the polar form reo, 0 <0 < 2n: 1 (a) 7 r = ,0 = (b) 9 + 9i r = (с) — 7 — 7i r = ,0 =Represent the following complex number in polar (R∠φ) format:−5−12?
- 4. Simplify. Write each expression in the form a + bi: a. (5 – 21) + (-3 +7i) b. (5 – 2i) – (-3 + 7i) 5 -21 c. (5 – 2i)(-3+7i) с. 2751 -31-567 7 351-149Find the Polar, General Polar, Exponential and General Exponential Form of -5+9j.Let Z1 = 16 – 10i and Z2 = -24 + 15i. Determine 571-3Z2 (7,Z2) in rectangular form. COMPLETE THE MISSING THE BLANKS FOR THE FINAL ANSWER: i
- Perform the indicated operation: 8 [ cos (231°) + i sin (231°)] * 13 [ cos (332°) + i sin (332°) ] Give your answer in polar form: [cos ( ) + i sin4. Perform the following operations involving complex numbers: а. (2 + 7i) + (3 — 41) ь. (9 + 5і) — (4 + 7) c. (3+2i) (5 + 6i) 3+ 2i d. 4- 5i e. 15 + 2i|Write the following complex numbers in exponential form: z = r exp (i 0) z = 9+8i, w=-4-10 i, u=4-5i