Given f(x) = x^3 + ax^2 + bx + c
with a, b, c ∈ R, the roots are x_1 , x_2 , x_3 ∈ R
Let λ is an positive integer that satisfied
x_2 − x_1 = λ
x_3 > (1/2)(x_1 + x_2 )
What is the max value of ((2a^3 + 27c − 9ab)/λ^3 ) ?
A car with a mass of 1300kg is
constructed so that its frame is
suspended by four strings.Each
has a force constant of 20000N/m.
Two people riding the car have a
combined mass of 160kg.Find the
frequency of vibration of the car.
A mass of 2kg is attached to a
spring with constant 8N/m.It is⊛
then displaced to the point x=2.
What time does it take for the block
to travel to the point x=1?
a)40s b)60s c)30s d)20s