3) Snow melts on Mount St. Ropke at a rate modeled by the function M (t) = 2 + 5 sin (=). The mountain creates 15t artificial snow to add to the mountain at a rate modeled by A(t) = 1+3t . Both M (t) and A(t) have units of cubic yards per hour, and t is measured in hours. At time t = 0, the mountain contains 25000 cubic yards of snow. a) How much snow will melt during the first 6 hours? b) To three decimal places, what is the total amount of snow on the mountain after 6 hours? c) Find the rate at which the amount of snow is changing at time t = 6.
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.
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