Solve the problem. The size P of a small herbivore population at time t (in years) obeys the function P(t) = 600e0.2t if they have enough food and the predator population stays constant. After how many years will the population reach 2400? 14.45 yrs O 37.48 yrs 6.93 yrs O 11.93 yrsSolve the right triangle using the information given. Round answers to two decimal places, if necessary. b = 2, B = 35; Find a, c, and A. Ca = 2.86 c = 4.49 A = 65 a = 2.86 c = 3.49 A = 65 0 a = 2.86 c = 4.49 A = 55 a = 2.86 c = 3.49 Find the inverse function of f. State the domain and range of f. f(x) = 3x - 2 x +5 Of- 1(x) = 3x+2: _; domain of f: {x | x # -5}; range of f: {y| y * 5} Of(x) = 5x +2 . 3+x ; domain of f: {x | x # -5); range of f: {y| y # - 3} Of(x) = 5x +2 . 3-X ; domain of f: {x | x # -5}; range of f: {y| y # 3} Of - 1 ( x ) = * 3x-; domain of f: {x | x # -5}; range of f: {y| y * =}Solve the equation. Express irrational answers in exact form and as a decimal rounded to 3 decimal places. (3)X = 71 - X In 7 In (3) + In 7 = 0.639 O In (3) + In7 = 1.565 In 7 In (3) - In 7 = -0.847 O In 42 = 1.416 In 14Katherine takes a cup of water initially at 100 degrees Celsius from the stove and places it on a table to cool. The room temperature is 21 degrees Celsius. In 10 minutes, its determined the water temperature is 85 degrees Celsius. a. Determine the exponential function that gives the water temperature in (degree Celsius) as a function of time in (minutes). (3 points) b. If the water was set on the table at 10:00 AM. What time will it be when the water temperature is 50 degrees Celsius ? ( 2 points)