Answer ALL QUESTIONS with strategies taught in grade 12 high school calculus.Thanks!

I _ A bungee jumper jumps a brge that m water Yaph shown. The elastity in the cord to down after 2s. The displacement Of the jumper is nuasured from ttw point of the jump. a. Determine the of jumper; i. after 2s ii. after 4s ii. at 6S b. Determine function and plot the graph in each interval 2. A swimming pool is treated to the growth Of bacteria. Suprxjse that t days after a treatment, the number Of bacteria per cubic centimetre is N(t) 30t2 - 240t + 500. number Of bacteria during the first week after the treatment. 3. A certain radioactive material exponentiaUy. Tho percent, p, of the material t years is by fLHEtion P(t) = a) Determine the half-life of the substance. b) How the decaying at the point where is reached ? 4. The Of studying for an exam depends upon how many hours a studentstudies. Some experiments show that if the effectiveness, E, is put a to 10, then = 0.5[10 + te-t,'s] E(t) where t is ot hours spent studying for an examination. If a student has up to 30 hours for many hours are for maxUnum effectiveness? ru u use g. b. intervds of The graphs he first and seond derivativ are so hat can c.aWns (ie. the derivative sdvirv shouH MATCH gian fun%ns) I. The graphs dthefunction P 91, its first derivative its are shown. Deerrnr, pdnt(s) inflection tt interval(s) of concavity. The first nx) and secmd derivaves an ushg tt*PowerRuIe (u. rnt First Cmfirmttwse calculns Use a ewtor tabk to determine/show the intnals o' 2. The 2, its first derivative and 3. The graphs function . h', ard Rs h are Determ". ttvwgh 4. The its P, Determine