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Problem 72

Find the indicated complex roots. Express your answers in polar form and then convert them into rectangular form. the three cube roots of \(z=-8 i\)

Problem 72

60\( through \)\\# 63\(. In Exercises 60 - 63 , you need to solve for … # Convert the equation from rectangular coordinates into polar coordinates. Solve for \)r\( in all but \)\\# 60\( through \)\\# 63\(. In Exercises 60 - 63 , you need to solve for \)\theta$. $$ x^{2}+y^{2}=x $$

Problem 73

Find the indicated complex roots. Express your answers in polar form and then convert them into rectangular form. the four fourth roots of \(z=16\)

Problem 74

Find the indicated complex roots. Express your answers in polar form and then convert them into rectangular form. the four fourth roots of \(z=-81\)

Problem 75

Find the indicated complex roots. Express your answers in polar form and then convert them into rectangular form. the six sixth roots of \(z=64\)

Problem 76

60\( through \)\\# 63\(. In Exercises 60 - 63 , you need to solve for … # Convert the equation from rectangular coordinates into polar coordinates. Solve for \)r\( in all but \)\\# 60\( through \)\\# 63\(. In Exercises 60 - 63 , you need to solve for \)\theta$. $$ 4 x^{2}+4\left(y-\frac{1}{2}\right)^{2}=1 $$

Problem 76

Find the indicated complex roots. Express your answers in polar form and then convert them into rectangular form. the six sixth roots of \(z=-729\)

Problem 77

Convert the equation from polar coordinates into rectangular coordinates. $$ r=7 $$

Problem 78

Convert the equation from polar coordinates into rectangular coordinates. $$ r=-3 $$

Problem 79

Convert the equation from polar coordinates into rectangular coordinates. $$ r=\sqrt{2} $$

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