Section 7.6 Total Differentials and Approximate Changes - Section 7.6 Total Differentials and Approximate Changes Ex1 Find the total Differential of the

# Section 7.6 Total Differentials and Approximate Changes -...

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Section 7.6 Total Differentials and Approximate ChangesEx1) Find the total Differential of the following:a)314( ,) b) 32( ,)2f x yxxyyEx2) Find the total Differential of the following:a)23ln()zxyb)
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Practice) For 3 3 ( , ) f x y x xy y and values x = 5, y = 3, x = 0.01, and y = 0.01, find f and df . Ex4)
Ex5) Practice) A rectangle is measured to have length x and width y, but each measurement may be in error by 1%. Estimate the percentage error in calculating the area.
Ex6)
Practice) A section of an artery is measured to have length 12 cm and diameter 0.8 cm. If each measurement may be off by 0.1 cm, find the volume with an estimate of the error.