RRproblem6

A=200 m^2 a. dw/dt= -0.5 m/s dL/dt=4 m/s A=Lw 200=Lw 0= w. dL/dt + L. dw/dt //4w - 0.5L = 0// 8w - L = 0 L = 8w 200=Lw 200=8w. w 8w^2=200 w^2=25 w=5 A=1/2(W)(L) 100=1/2(10)(L) L=20 A=L(W) dL/dt(w) + dW/dt(L) = dA/dt (4)(10) + dW/dt(20) = 0 dW/dt= -2 D^2=L^2 + W^2 D^2=20^2 + 10^2 2d(dD/dt)= 2L(dL/dt) + 2w(dW/dt) D=22.4 (22.4)(dD/dt)=(20)(4) + (10)(-2) dD/dt = 2.68

Good!!