Which scenario would result in a positive population growth? Use this formula: population growth = (birth rate + immigration) – (death rate + emigration)

A. 30 individuals emigrate, 30 individuals die, 30 individuals are born, 0 individuals immigrate
B. 22 individuals emigrate, 10 individuals are born, 12 individuals immigrate, 0 individuals die
C. 15 individuals immigrate, 9 individuals emigrate, 6 individuals are born, 0 individuals die
D. 18 individuals immigrate, 20 individuals die, 1 individual is born, 0 individuals emigrate

Abody of weight 60 kg is standing in a lift the lift going upward with a uniform velocity of 4.9 metre per second slows down and stops in two seconds then apparent weight of the body during the slow down process is

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

Gas cloud 1 is likely to form a star. gas cloud 2 is not. based on this information, match the given conditions with each cloud