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The different temperatures from different areas.
The tropic of cancer and The tropic of Capricorn. Cancer is further north and Capricorn is further south :)
For various reasons. Read an introductory calculus book; they are usually full of examples that have practical applications. One common use of differentiation (derivation) is to find the maximum or minimum of some function. A maximum or minimum can occur (a) at the endpoints of the interval under consideration, (b) at a point where the derivative is zero, (c) at a point where the derivative is not defined. This, obviously, requires differentiation. Integration can be used to find areas and volumes, or, more generally, the area under a curve that might not necessarily represent an area in the geometric sense. For example, work = force x distance - but what happens if the force changes while you move? This "variable product" is equivalent to finding an area under a curve.
Dysentery is caused by contaminated food and drink. It is most common in tropical areas. Side effects include bloody stool and vomiting. This illness can be fatal if it is not treated promptly.
To calculate the maximum number of bathers for a public pool you should determine how many square feet should be available per bather. This requirement can vary by state. However, for a shallow area you should figure at least 15 square feet per bather. For deep areas you should allow 20 square feet per bather. Areas with diving boards will need even more space for each bather.