1.} Show that if the vectors 'i.-' and W are orthogonal= then "1. + w\"2 = \"VIII + \"or"2 _ You ma1_i.r NOT use components in any form. 2.} Find an arc length parameterization of r(} = {cos 4Lsin 4L3: } 3.} Find the local maximum, local minimum, and saddle points {if any] of f(x,y} = x3 + 23:3 x3; _ 4.} Use cylindrical coordinates to calculate I"; 2 {EV where x2 + 3:1 E z i: 9 5.} Use Lagrange multipliers to nd the minimum and maximum values of f{x= y} = x2334 subject to the constraint x2 + By? = 6