* 6. If a pollutant is dumped into the lake at time t = 0, use the solution you found in Group Work 5 to show that the time it takes for the lake's pollution level to reach 5%, t = to.05, satisfies the transcendental equation 16.05 365 + 2 In 20= w [160 V 2 sin 2nto.05 365 5)]. *7. By plotting the LHS and the RHS of the transcendental equation in Group Work 6 separately, and seeing where the lines intersect, find an approximate value to to.05 for the following lakes: (a) Lake Erie: V = 458 x 109 m and qo= 480 x 106 m day-1. (b) Lake Ontario: V = 1638 x 109 m and go = 572 x 106 m day-. For both lakes, assume = 0.01.