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use differentiation to find out the minimal and maximal

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A meteorologist sketched the path of the jet stream on a map of the northern U.S. and southern Canada on which all latitudes were parallel and all longitudes were parallel and equally spaced. A computer analysis showed this path to be given by:

Find the locations of the maximum and minimum latitudes of the jet stream between for that day.

PS: SOME DETAILS ARE IN THE ATTACHMENT.

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The solution provides detailed explanation how to use differentiation to find out the minimal and maximal.

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y = [6.0e(-0.02x)]sin(0.2x)
dy/dx = 0.2cos(0.2x)[6.0e(-0.02x)] - ...

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