Questions from General Calculus

Q: Find polar forms for zw, z/w, and 1

Find polar forms for zw, z/w, and 1/z by first putting z and w into polar form.

Q: Find polar forms for zw, z/w, and 1

Find polar forms for zw, z/w, and 1/z by first putting z and w into polar form.

Q: Find the indicated power using De Moivre’s Theorem. (1

Find the indicated power using De Moivre’s Theorem. (1 + i)20

Q: Find the indicated power using De Moivre’s Theorem. (1

Find the indicated power using De Moivre’s Theorem. (1 – √3 i)5

Q: Find the indicated power using De Moivre’s Theorem. (2

Find the indicated power using De Moivre’s Theorem. (2√3 + 2 i)5

Q: Find the indicated power using De Moivre’s Theorem. (1

Find the indicated power using De Moivre’s Theorem. (1 – i)8

Q: Find the indicated roots. Sketch the roots in the complex plane

Find the indicated roots. Sketch the roots in the complex plane. The eighth roots of 1

Q: Find the indicated roots. Sketch the roots in the complex plane

Find the indicated roots. Sketch the roots in the complex plane. The fifth roots of 32

Q: Find the area of the region that lies inside the first curve

Find the area of the region that lies inside the first curve and outside the second curve.

Q: Find the indicated roots. Sketch the roots in the complex plane

Find the indicated roots. Sketch the roots in the complex plane. The cube roots of i