1. Photosynthesis. The rate at which photosynthesis takes place for a species of phytoplankton is modeled by the function below, where P is the rate of photosynthesis, .I'is the intensityI of light, and the parameters a, b, and c are positive constants. l P: oi1+bi+c Find simplied formulas [depending on o, b, and c} for the following: a} The initial slope, PIG}: b] The light intensity for which P reaches a maximum: c} The maximum rate of photosvnthesis [maximum value of P}