Part 3. A drug is administered to a patient through an injection. The drug concentration (in milligrams per milliliter) in the bloodstream t hours after the injection is given by C(t) = St (t+50) t +100 a. Use a graphing tool (GeoGebra) to show the graph of C(t) in the context of the situation. The graph should have its independent variable () for the horizontal axis with an interval of ten (10) units up to the value one hundred fifty (150), and the drug concentration C(t) for the vertical axis with an interval of five (5) units up to the value forty (40). Place the label of the graph on the upper right hand part of the cartesian plane. . Construct a table of values to show the drug concentration in the patient's bloodstream for the first day. The value of the independent variable (t) should have one (1) hour as the interval and write or give the value of C(t) in its exact form along with the numerical value up to five (5) decimal places rounded off. . . What will be the drug concentration in a patient's bloodstream as time (t) increases without bound? Support your answer analytically using the concept of limits. Consider a modification of the model where C(t) = St (t+50) t tb a. What is the effect on the drug concentration if b is a value between fifty (50) and one hundred (100) instead of the original value? b. What is the effect on the drug concentration if b is a value between one hundred (100) and one hundred fifty (150) instead of the original value? . What will be the effect of the modification in the drug concentration in a patient's bloodstream as time (t) increases without bound? Compare the result with the original model for C(t) Consider another modification of the model where C(t) = - at (t+50) t' + 100 What is the effect on the drug concentration if a is a value between zero (0) and five (5) instead of the original value? b. What is the effect on the drug concentration if a is a value between five (5) and ten (10) instead of the original value? C. What will be the effect of the modification in the drug concentration in a patient's bloodstream as time (t) increases without bound? Compare the result with the original model for C(t)