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If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3

Urgent question in mathematics. solve this to get 15 points[tex] {2}^{100} - {2}^{99} - {2}^{98} {2}^{2} - {2}^{1} - {2}^{0}[/tex]a) 0 b) 1 c) 2 d) 2^50