Answer all the questions COMPLETELY. Vote will be given based on answers

1

A mathematical model for world population growth over short intervals is given by P = Poe", where PD is the population at time t= 0, r is the continuous compound rate of growth, t is the time in years, and P is the population at time to How long will it take the world population to quadruple if it continues to grow at its current continuous compound rate of 16% per year? Substitute the given values into the equation for the population. Express the population at time t as a function of Pa- V Ht 5".) = P08 (Simplify your answers.) The population will double in about \" years. (Type an integer or decimal rounded to one decimal place as needed.) A mathematical model for population growth over short intervals is given by P = Poe\Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. Find the value(s) of x where the tangent line is horizontal. f(x) = 4ex2 - 9x +4, x=0Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. X f ( x ) =. X =4 (2x - 7)3) The equation of the line tangent to the graph off at x =\" is y = Find f'(x) and nd the value(s) of x where the tangent line is horizontal. f(x)=x7(x10)5 Select the correct choice below and, if necessary, ll in the answer box within your choice C\" A- The tangent line is horizontal at x: (Use a comma to separate answers as needed.) it} B. The tangent line is never horizontal