True or FalseIf an II x f! matrix A is real. then all of its eigenvalues arereal.
Section 2.1: Rates of Change Motion along a straight line: o s = position of an object on the line = s(t) this is a function of time o t = time s( 2 ( ) 1 Δ s Average Velocity = t −t Δt ∆ s = change in 2 1 ∆ t position = change in time t Instanstaneous Velocity at time 0 : o First we determine the average velocity over a time interval [t0,t] then let t approach t0 . (s t)−s t(0) v( 0=lim v averaget →0 (t−t 0 v( )=instantaneousvelocity 0 v =v =averagevelocity average ave lim =valuethatv approaches t→ 0 ave Example: A ball falls from height of 100ft. Approximate its speed 2 seconds after being released. o S=height (ft) o T=time (sec) We use this chart to plug into our computational chart below. t 0 1 1.5 1.9 1.99 1.999 2 s 100 84 64 42.24 36.638 36.064 36 This is our computational chart: Time Interval ∆ t (seconds) ∆ s (feet) ∆ s ∆t