(a) compute the laplace transform of both sides of the equation;
(b) substitute the initial conditions and solve for the laplace transform of the solution;
(c) find a function whose laplace transform is the same as the solution; and
(d) check that you have found the solution of the initial-value problem

your question is incomplete, write all the numbers in the sequence that it tells you.  

step-by-step explanation:

i think it might be a but you might want a second opinion

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.