10. Derive CRE in polar coordinates Ur = r-1v0 ug = -rvr Using x = r cos 0 and y = r sin 0 and chain rule ди дх дх дү ди Ər ди дө ὃν ər ὃν дө = || = ди дх дх дө + dvdx дх дө + ди ду ду дә dvdx до ду -+ дх дr ' ду дr дә + диду ду дө до ду ду дө

onvert the Cartesian coordinate (4,3) to polar coordinates, 0 < 0< 2n

Q1/Replace the polar equations with equivalent Cartesian equations and vice versa. (Three only) 1. r sin 0 0 2. r= - 4r cos e 3. ху-2 4. y= 4x Q2/Graph the polar curves: (One only) 1. r =+cos 0 2. r = -1+ sin 0 Q3/ Find the lengths of the curves :(One only) 1.r =- (1+cos 0) 2. r = 2a cos e