Assuming that Switzerland's population is growing exponentially at a continuous rate of 0.17 percent a year and that the 1988 population was 6.7 million, write an expression for the population as a function of time in years. (Let t = 0 in 1988.) P = The knowledge that a civilization can amass in a year is proportional to the knowledge it currently posses. If K(t) is the knowledge that a certain civilization possesses at time t, this civilization can add 10% to its knowledge each year, and this civilization possesses 95000 volumes of knowledge at time 0, write an initial volume problem for the amount of knowledge the civilization possesses: = 0 K(0) = = Note: use K,K' instead of K(t), K'(t) in your answers. After you set up your differential equation you will have to set it equal to zero so that WeBWork will understand your answer, do this in a way so that the highest order derivative has a positive coefficient. (1 point) For this problem A is the variable for the amount of radioactive material, k is growth constant (and assumed to be positive). The amount of radioactive material decreases at a rate proportional to the amount present. Write a differential equation to model the situation: Differential equation: Find a formula for the half-life of the material: = 0 =