Consider the simple pendulum x_ 1 = x2; x_ 2 = b ml2 x2 g l sin (x2) : Using the total energy as the candidate Lyapunov function, show that [00] is an asymptotically stable equilibrium point. Find an estimate of the region of attraction of [00] so that the projection of the region of attraction on the x1 dimension includes the interval (pi; pi)

Design a number line containing five (5) points2.benin, one of the smallest countries in africa, has a total area of 43,475 square miles. the population of the country was recently estimated at 10,160,555. about 3,657,790 people live in rural areas. the country has only about 870 miles of surfaced roads. a. round off the total population to the nearest hundred thousand people. b. round off benin’s area in square miles to the nearest thousand. c. round off the number of miles of surfaced roads to the nearest ten. d. round off the number of people who live in rural areas to the nearest million.

How do i do this activity, is appreciated

Which of the following is true for the relation f(x)=2x^2+1