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Magazine Problem 87
Converting a Rectangular Equation to Polar Form In Exercises \(71-90\) , convert the rectangular equation to polar form. Assume \(a>0\) . $$\left(x^{2}+y^{2}\right)^{2}=x^{2}-y^{2}$$
Problem 88
Converting a Rectangular Equation to Polar Form In Exercises \(71-90\) , convert the rectangular equation to polar form. Assume \(a>0\) . $$\left(x^{2}+y^{2}\right)^{2}=9\left(x^{2}-y^{2}\right)$$
Problem 89
Converting a Rectangular Equation to Polar Form In Exercises \(71-90\) , convert the rectangular equation to polar form. Assume \(a>0\) . $$y^{3}=x^{2}$$
Problem 89
Determine whether the statement is true or false. Justify your answer. A line that has an inclination greater than \(\pi / 2\) radians has a negative slope.
Problem 90
Converting a Rectangular Equation to Polar Form In Exercises \(71-90\) , convert the rectangular equation to polar form. Assume \(a>0\) . $$y^{2}=x^{3}$$
Problem 90
Determine whether the statement is true or false. Justify your answer. To find the angle between two lines whose angles of inclination \(\theta_{1}\) and \(\theta_{2}\) are known, substitute \(\theta_{1}\) and \(\theta_{2}\) for \(m_{1}\) and \(m_{2},\) respectively, in the formula for the angle between two lines.
Problem 91
Converting a Polar Equation to Rectangular Form In Exercises \(91-116,\) convert the polar equation to rectangular form. $$r=4 \sin \theta$$
Problem 91
Determine whether the statement is true or false. Justify your answer. The inclination of a line is the angle between the line and the \(x\) -axis.
Problem 92
Converting a Polar Equation to Rectangular Form In Exercises \(91-116,\) convert the polar equation to rectangular form. $$r=2 \cos \theta$$
Problem 93
Converting a Polar Equation to Rectangular Form In Exercises \(91-116,\) convert the polar equation to rectangular form. $$r=-2 \cos \theta$$
