Gasoline is pumped into a cylindrical tank with a radius of 16 feet and a height of 6 feet. The tank has 750 cubic feet of gasoline at time t = 0 hours. The rate at which gasoline is pumped into the tank is given by 12 the function R, where R(t) = 1,000e 20 cubic feet per hour for 0 sts 10. During the same time interval, gasoline is drained out from the tank at a rate of D(t) = -0.02t + 2.4t + 0.16t cubic feet per hour. (Note: The volume V of a cylinder with radius r and height h is given by V= ar°h.) a) Determine the volume of gasoline pumped into the tank over the entire 10-hour interval. b) Describe all open intervals of t for which the volume of gasoline in the tank is increasing. Justify Your answer.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Solve A and B
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