Write z₁ and 22 in polar form. Z₁ = 9 + 91, Z₂ = 4 Z1 = Z₂ = Z1 Find the product Z₁Z2 and the quotients and (Express your answers in polar form.) Z2 Z1 Z1Z2 = Z1 Z2 = 1 Z1 Need Help? = Read It Watch It

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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### Polar Form and Operations with Complex Numbers

**Task:**

Write \( z_1 \) and \( z_2 \) in polar form.

Given:
- \( z_1 = 9 + 9i \)
- \( z_2 = 4 \)

**Convert to Polar Form:**

- \( z_1 = \) [Input Box]
  
- \( z_2 = \) [Input Box]

**Next Steps:**

Find the product \( z_1z_2 \) and the quotients \( \frac{z_1}{z_2} \) and \( \frac{1}{z_1} \). Express your answers in polar form.

- \( z_1z_2 = \) [Input Box]

- \( \frac{z_1}{z_2} = \) [Input Box]

- \( \frac{1}{z_1} = \) [Input Box]

---

**Need Help?** [Read It] [Watch It]
Transcribed Image Text:### Polar Form and Operations with Complex Numbers **Task:** Write \( z_1 \) and \( z_2 \) in polar form. Given: - \( z_1 = 9 + 9i \) - \( z_2 = 4 \) **Convert to Polar Form:** - \( z_1 = \) [Input Box] - \( z_2 = \) [Input Box] **Next Steps:** Find the product \( z_1z_2 \) and the quotients \( \frac{z_1}{z_2} \) and \( \frac{1}{z_1} \). Express your answers in polar form. - \( z_1z_2 = \) [Input Box] - \( \frac{z_1}{z_2} = \) [Input Box] - \( \frac{1}{z_1} = \) [Input Box] --- **Need Help?** [Read It] [Watch It]
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