"The concentration C of a certain drug in a patient's bloodstream t minutes after injection is given by a.) b.) 50: C t = . " ( ) c2+25 Are there any horizontal asymptotels) of C(t)? If yes, find the horizontal asymptote and please explain why. Otherwise, please explain. [0.8 points] There w_i|l be horizontal asymptote and that asymptote will be the x-axis. The given equation of concentration in the blood stream of a drug is: C(t)=(50t)/(t"2+25) As the degree ofthe denominator is greater than the degree of numerator in the given equation: Degree of Numerator = 2 Degree of Denominator = 2 In addition, what happens to the concentration ofthe drug as t increases? In other words, describe the behavior. [0.8 points] As t increases the concentration of the drug tends to 0 in the bloodstream as the limit when t tends to infinity for the concentration function C(t) goes to 0. Are there any vertical asymptote(s) of C(t)? If yes or no, please explain and show complete work. [0.8 points] To find the vertical asymptote make the denominator =0 t2 + 25 = 0 which is not possible for any value of t and will have imaginary roots. 30 vertical asymptote is n_ot possible for the given concentration C(t) o no VA Find the time at which the concentration is highest. Please explain and show work completely. [0.8 points] Note: inserting table w/values to answer part c. is not sufficient and using other methods from another course such as Calculus is not allowed. The only hint is to apply the local/absolute minimum or local/absolute maximum to find the time when the concentration is highest. Using a graphing calculator, insert the graph of C(t). [0.8 points] Note: the graph of C (1:) must be shown completely including the behaviors (both sides). May change the window but do not zoom in or out