Marksberg radially has a population density of 1000e^−0.01r2 people per km^2, where r is the radius (in km) from the sky river. What is the total population living within 5 km of the sky river?  Please answer it with clear explaination, steps and details. Thank you so much!

An Astronaut on Mars drives a golf ball that moves according to the equations x=30t and y=74t−4.4t^2. (x and y in feet, t in seconds.)   Find the resultant velocity of the golf ball for t=2s.     Magnitude of the velocity of the ball =     Direction of the velocity of the ball =

The fictional city of Torontino radially has a population density of 1000e^(−0.01r^2)people per km2, wherer is the radius (in km) from QM tower. What is the total population living within 5 km of the QMtower? Show your steps.

A hemispherical water tank. shown below has a radius of 6 meters and is losing water. The area of the surface of the water is A=12pih-pih^2 square meters, where h is the depth, in meters, of the water in the tank. When h=3 meters, the depth of the water is decreasing at a rate of -1/2 meters per minute. At that instant, what is the rate at which the area of the water's surface area is decreasing with respect to time?