Consider the differential equation dy/dx = 2 − y.

(a) Either by inspection or by the concept that

y = c, −[infinity] < x < [infinity],

is a constant function if and only if

y' = 0,

find a constant solution of the DE.

y =

(b) Using only the differential equation, find the intervals on the y-axis on which a nonconstant solution

y = ϕ(x)

is increasing. Find the intervals on the y-axis on which

y = ϕ(x)

is decreasing. (Enter your answer using interval notation.)

increasing

decreasing

Francisco's credit card has an apr of 28.98%, calculated on the previous monthly balance. his credit card record for the last 7 months is shown in the table below francisco is trying to figure out what this all means. answer the following questions: what is the total amount that francisco has paid in interest over the 7 months? what is the total amount that francisco has made in payments over the 7 months? how much of francisco's payments have gone to paying down the principal on his account? what is francisco's new balance at the end of month 8? what will francisco be charged for interest for month 8?