Exam 11: Extension D: Partial Derivatives

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Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height   cm if the tin is 0.04 cm thick. cm if the tin is 0.04 cm thick.

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Find an equation of the tangent plane to the given surface at the specified point. Find an equation of the tangent plane to the given surface at the specified point.

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Find the differential of the function Find the differential of the function

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Find the equation of the tangent plane to the given surface at the specified point. Find the equation of the tangent plane to the given surface at the specified point.

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Let Let   and suppose that   changes from   to    (a)Compute    (b)Compute  and suppose that Let   and suppose that   changes from   to    (a)Compute    (b)Compute  changes from Let   and suppose that   changes from   to    (a)Compute    (b)Compute  to Let   and suppose that   changes from   to    (a)Compute    (b)Compute  (a)Compute Let   and suppose that   changes from   to    (a)Compute    (b)Compute  (b)Compute Let   and suppose that   changes from   to    (a)Compute    (b)Compute

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Find the equation of the tangent plane to the given surface at the specified point. Find the equation of the tangent plane to the given surface at the specified point.

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Find the differential of the function Find the differential of the function

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Use differentials to estimate the amount of metal in a closed cylindrical can that is 12 cm high and 8 cm in diameter if the metal in the top and bottom is 0.09 cm thick and the metal in the sides is 0.01 cm thick.(rounded to the nearest hundredth.)

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