f5 M1 招maths master解答

A chemical X is continuously added to a solution to form a substance Y.The total amount of Y formed is given by:

y=3+[ (4x-9) / (4x^2+3x+9)^-1

where x grams and y grams are the total amount of x added and the total amount of X added and the total amount of Y formed respectively.

A) Find dy/dx when 10 grams of X is added to the solution

B) Estimate the total amount of Y formed if X is indefinutely added to the solution