1. Calculate the net torque about point O for the two forces applied as in the figure. The rod and both forces are in the plane of the page. Take positive torques to be counterclockwise. F₂-12.0 N 30.0° 0 F₁ = 8.00 N 2.00 m 3.00 m

For each biological model below determine the dimensions of the parameters, based on the given dimensions of the variables. 1. Model of number of mutations M as a function of time t: M(t) — Мо + дut 2. Model of molecular concentration C as a function of time t: -kt C(t) = Coe 3. Model of tree height H (length) as a function of age a (time): ba H(a) c+a 4. Model of cooperative binding of ligands, with fraction of bound receptors 0 as a function of ligand concentration L: 0(L) = Ln + Kd 5. Model of concentration of a gene product G (concentration) as a function of time t: G(t) = Gm(1 – e at)

Please answer all sections in question A

One carat is equivalent to a mass of 0.200 g. Use the fact that 1 kg (1000 g) has a weight of 2.205 lb under certain conditions, and determine the weight of a 1016 carat diamond in pounds (lb). Number i Units eTextbook and Media