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Magazine Problem 68
60 through #63. In Exercises \(60-63,\) you need to solve for \(\theta\) 鈥� # 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 \(\theta\) \(y=-3 x^{2}\)
Problem 69
60 through #63. In Exercises \(60-63,\) you need to solve for \(\theta\) 鈥� # 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 \(\theta\) \(4 x=y^{2}\)
Problem 69
In Exercises \(65-76\), find the indicated complex roots. Express your answers in polar form and then convert them into rectangular form. $$ \text { the three cube roots of } z=64 $$
Problem 70
60 through #63. In Exercises \(60-63,\) you need to solve for \(\theta\) 鈥� # 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 \(\theta\) \(x^{2}+y^{2}-2 y=0\)
Problem 70
In Exercises \(65-76\), find the indicated complex roots. Express your answers in polar form and then convert them into rectangular form. $$ \text { the three cube roots of } z=-125 $$
Problem 71
60 through #63. In Exercises \(60-63,\) you need to solve for \(\theta\) 鈥� # 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 \(\theta\) \(x^{2}-4 x+y^{2}=0\)
Problem 71
In Exercises \(65-76\), find the indicated complex roots. Express your answers in polar form and then convert them into rectangular form. $$ \text { the three eube roots of } z=i $$
Problem 72
In Exercises \(65-76\), find the indicated complex roots. Express your answers in polar form and then convert them into rectangular form. $$ \text { the three eube roots of } z=-8 i $$
Problem 73
In Exercises \(65-76\), find the indicated complex roots. Express your answers in polar form and then convert them into rectangular form. $$ \text { the four fourth roots of } z=16 $$
Problem 73
60 through #63. In Exercises \(60-63,\) you need to solve for \(\theta\) 鈥� # 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 \(\theta\) \(y^{2}=7 y-x^{2}\)
