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.
Kepler’s wine barrel Several mathematical stories originated with
the second wedding of the mathematician and astronomer Johannes
Kepler. Here is one: While shopping for wine for his wedding,
Kepler noticed that the price of a barrel of wine (here assumed to
be a cylinder) was determined solely by the length d of a dipstick
that was inserted diagonally through a centered hole in the top of
the barrel to the edge of the base of the barrel (see figure). Kepler
realized that this measurement does not determine the volume of
the barrel and that for a fixed value of d, the volume varies with the
radius r and height h of the barrel. For a fixed value of d, what is
the ratio r/h that maximizes the volume of the barrel?
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