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)
Practice) For 33( ,)f x yxxyyand 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 maybe in error by 1%. Estimate the percentage error in calculating the area.
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.