Question 1 [1 point} The slope of the tangent at a point on the graph of y = e\" equals the value of the function at that point \fA radioactive substance decays exponentially over time. The amount of the sample that remains, P. after 1* years, is given by the function PG?) = lime5t, where P is expressed as a percent. Determine the rate of decayr when 50% of the original sample has decayed. \fQuestion 5 (5 points) Upload a picture of your full solution in one file and attach it to this question. The velocity of a train is given by v(t) = 120(1 - 0. 85t) What is the acceleration of the train for all values of t? When is the train accelerating (speeding up) and when is the train decelerating(slowing down)?Question 15 [5 points] Aorug is injected into the hock}:r in such a way that the concentration, C, in the bleed at time, 1*, hours is given by the function C(t] = 1|[I|[e_\"'1t e'3t]. At what time within the first 5 hours does the highest concentration occur