90 because that's the smallest number they all go into.
90/2 = 45
90/5 = 18
90/6 = 15
90/9 = 10
Answer:
see below
Step-by-step explanation:
y' = -2e⁻ˣcos(x) -sin(x)2e⁻ˣ +e⁻ˣsin(x)-cos(x)e⁻ˣ = e⁻ˣ(-2cos(x)-2sin(x)+sin(x) -cos(x))
=e⁻ˣ(-3cos(x)-sin(x))
y'' = -e⁻ˣ(-3cos(x)-sin(x)) + (3sin(x)-cos(x))e⁻ˣ
y'' = e⁻ˣ[3cos(x)+sin(x) + 3sin(x)-cos(x)] = e⁻ˣ[2cos(x)+4sin(x)]
y''+2y'+2y = 0
e⁻ˣ[2cos(x)+4sin(x)] + 2[e⁻ˣ(-3cosx-sinx)] + 2[2e⁻ˣ cos(x)−e⁻ˣ sin(x)]
e⁻ˣ[2cos(x)+4sin(x)-6cos(x)-2sin(x)+4cos(x)-2sin(x)]
e⁻ˣ[-4cos(x)+2sin(x)+4cos(x)-2sin(x)]
e⁻ˣ[0cos(x)+0sin(x)] = 0
Answer:
(a)
(b) 
Step-by-step explanation:
GIVEN: Auditoriums are often designed so that are fewer seats per row for rows closer to the stage. Suppose you are sitting in row
in an auditorium and notice that there are
seats in your row. It appears the row in front of you has
seats and the row behind you has
seats. Suppose this pattern continues throughout the auditorium.
TO FIND: a) How many seats are in the first row b) How many seats are in the
row?
SOLUTION:
total seats in 
total seats in

total seats in 
as it clearly form an A.P. with 
(a)
let total seat in first row be 
as total seats in 



total seats in first row are 
(b)
total seats in
be 



total seats in
row are 
Answer:
the answer to this question is clearly a