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The Radius of a Spherical Balloon Is Measured to Be

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The radius of a spherical balloon is measured to be 12 inches, with a possible error of 0.06 inch. Use differentials to approximate the maximum possible error in calculating the surface area of the sphere. Round your answer to two decimal places.


Definitions:

Accommodation

The process by which the eye’s lens changes shape to focus near or far objects on the retina.

Assimilation

Interpreting our new experiences in terms of our existing schemas.

Maturation

Biological growth processes that enable orderly changes in behavior, relatively uninfluenced by experience.

Biological Growth Processes

The series of natural physiological changes and development that occur in living organisms, affecting size, shape, and function.

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