(Solved): Find a polar equation for the curve represented by the given Cartesian equation: a) \( 6 x+2 y=4 \) ...

Find a polar equation for the curve represented by the given Cartesian equation: a) \( 6 x+2 y=4 \) Write the answer in the form \( r=f(t) \) where \( t \) stands for \( \theta \). Polar equation: \( r=\frac{2}{3 \cos t+\sin t} \) b) \( x^{2}-y^{2}=6 \) Write the answer in the form \( r^{2}=f(t) \) where \( t \) stands for \( \theta \). Polar equation: \( r^{2}= \)