decide on an initial population, P0, of the town in the year 2010. Choose an initial population beween 5,000 - 10,000. Use this value of P0 for each of the scenarios

The altitude of a triangle is increasing at a rate of 1.500 centimeters/minute while the area of the triangle is increasing at a rate of 2.000 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 11.000 centimeters and the area is 89.000 square...

A lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answer to one decimal place.)

A ball is thrown upward from the top of a building 370 feet tall. The height of the ball is described by the function , where is in seconds and corresponds to the moment the ball is thrown. a) Determine for what value of the ball reaches the maximum height and determine this maximum height.

"A set of measurements of a parameter x has a normal distribution with mean of 50 and standard deviation of 1. If there are a very large number of measurements, approximately what percentage of measurements would you expect to be in the range 48 < x < 50? a. 34% b. 45%...

Please see problem 2 attached.

Please see problem # 13 attached.

Please see problem 10 attached.

An enclosed metal storage tank with volume V is to be constructed in the shape of a right circular cylinder surmounted by a hemisphere. The goal is to determine the dimensions that require the least amount of metal. So everyone is using the same notation, let r and h denote the radius and...

"if f(1) = 10 and f'(x) 2 for 1 x 4, how small can f(4) possibly be"