Assignment:
In a cancer research lab, you are observing the growth of cancer cells in two specimens, A & B. Specimen A presently has 2160 cells and specimen B has 1200 cells. After recording data for several days, you later determine that the number of cells in specimen A, N(A), is growing ny the formula:
N(A) = 24t^2 + 588t + 2160
where t is the number of days the specimen is in the test environment. Likewise, the data for specimen B indicates that its number of cells, N(B), is
N(B) = 36t^2 + 780t + 1200
a. Write a rational expression and simplify the ratio of N(A) to N(B). Show any intermediate steps.
b. On which day did the number of cancer cells in specimen B overtake that of specimen A?
c. How many cancer cells had developed in specimen B as of the day you calculated in (b)? Show your calculation and write this number using scientific notation.
Provide complete and step by step solution for the question and show calculations and use formulas.