A tank in the form of a right-circular cylinder of radius 2 feet and height 10 feet is standing on end. If the tank is initially full of water and water leaks from a circular hole of radius inch at its bottom, determine a differential equation for the height h of the water at time t. Ignore friction and contraction of water at the hole

Ontario's vaccine booking website will be used to schedule covid 19 vaccination appointments for children aged 5-11. On Nov 30th, new appointment times will become available for booking at 8:00am and traffic to the website is expected to peak after a few minutes. We can model the rate of visits to the website on Nov 30th using the equation : V'(t) = 2400r? Where t is measured in minutes since 8:00am and V'(t) is visits per minutes. a) suppose that by 8:00am there had already been 300 visits to the website. Write an equation for the number of visits on Nov 30th by time t. B) How many visits occur between 8:00am and 8:10am?

The base radius and height of a right circular cone are measured as 10cm and 25cm, respectively, with a possible error in measurement of as much as 0.1cm in each. Use differentials to estimate the maximum error in the calculated volume of the cone.

A ball is thrown upwards with an initial velocity of 64 ft/sec from the top of a building which is 80 feet high. Its acceleration due to gravity is -32ft/sec. Determine the velocity of the ball when it hits the ground.