Debra deposits $1200 into an account that earns interest at a rate of 3.79% compounded continuously. a) Write the differential equation that represents A(t), the value of Debra's account aftert years. b) Find the particular solution of the differential equation from part (a). c) Find A(6) and A'(6). A'(6) A(6) ' (I) Find and explain what this number represents. [5 dA a) The differential equation is dt b) The particular solution is A(t) = c) The values for A(6) and A'(6) are A(6) = $ and A'(6) = $ per year. (Round to two decimal places as needed.)A16) '9 A(6) =D (Round to four decimal places as needed.) What does this number represent