1. Solve the following equations: (a) e23e +2=0 (b) log23+ log2x = log25+ log2(x-2) 2. The velocity of a sky diver t seconds after jumping is given by v(t) = 80(1-e-0.02), measured in feet per second. After how many seconds is their velocity 70 ft/s? 3. A 15 g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by m(t) 15e-0.087, where m(t) is measured in grams. After how many days are there only 5 g remaining? = 4. A certain culture initially has 25 bacteria and is observed to double every 5 hours. a) Find an exponential model n(t)=no2/ for the number of bacteria in the culture after t hours. b) Estimate the number of bacteria after 18 hours. c) After how many hours will the bacteria count reach 2 million. 5. For each value of t, find its (i) reference number, (ii) terminal point, and (iii) sint, cost, and tant. 13 (a) t = 6 11 (b) t 3 7 (c) t = 4