Please help

1.

Use implicit differentiation to find y' given the equation In(xy) = y.2. (10 Points) Find the equation of the line tangent to the curve 3:2 + 3342 = 7 at the point (2, 1). Write your answer in slope-intercept form. 3. (10 Points) First expand f (x) = In ac2 (203 - 7) (2 - 9)2 using properties of logarithms and then differentiate.4. (10 Points) A scientist is studying a bacteria colony that is exhibiting inhibited growth. The scientist nds that the population of bacteria is modeled by the function P(t) = 100010g3(t + 9) where t is time measured in hours and P is the number of bacteria in the population. Find the rate at which the population is changing when t = 12 hours. Round to the nearest tenth and make sure to include units in your