Answer:
a(4) = 15/4
Step-by-step explanation:
The general formula for a geometric series with common ratio r and first term a(1) is
a(n) = a(1)*r^(n - 1)
and so, if a(1) = 30 and r = 1/2, we have
a(n) = 30*(1/2)^(n - 1)
and the fourth term is then:
a(4) = 30*(1/2)^(4 - 1) = 30/8 = 15/4
Answer:
The area of the square is 15²
the area of a square and the length of its side are directly proportional because The area of the square is x²=> when its edge decreases, the area of the figure decreases
Step-by-step explanation:
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:
36 cubic meters
Step-by-step explanation:
L*w*h
3*6*2
