Please show step by step

low all of 1. (10 points) Suppose a drug is injected into a patient, and that t hours after injection, the concentration of drug in the patient's bloodstream in mg/cm3 is given by the formula C(t) =2 +1 0.21 (i) Find the concentration of drug in the patient's bloodstream 30 MINUTES after injection. Show your work, and then write your final answer in a complete sentence, that includes the units. [Note that you will first have to convert this time to hours!] (ii) Same as (i), but 2 HOURS after injection. Again, show your work, and then write a complete sentence answer that shows units. 0.2t (ii) Now find . limit,-+7+1 (iv) Explain in words what the limit in (iii) means to the patient. 2. (10 points) Consider this function: f(x) = =x3 + x2 -12x +6. (i) Find the derivative f' (x). (ii) Suppose we were to graph this function. Find the coordinates (as ordered pairs), of any point(s) where the slope of the tangent line is 12. (iii) And now, find the equation(s) of the tangent lines from (ii)