HW 16A Section 3.6 Differentials (20 pts)

For full credit show ALL the work necessary!!

1. If f(x)=x²-3x+5 find Ay and dy if at x = 5 Ax=dx=0.3.

2. If f(x)=5x+7x-9 find Ay and dy if at x = 3.2 Ax=dx = 0.07./n3. The radius of a circular disk is measured at 6.7 cm with a possible error of ± 0.04cm.

What is the approximate error of the area of the disk and what is the percent error? If the

disk needs to be within 98% accuracy, is it acceptable? Remember: A=²

4. The radius of a bearing is measured at 3.6 mm with a possible error of ± 0.02mm. What

is the approximate error of the volume of the bearing and what is the percent error? If the

disk needs to be within 99.5% accuracy, is it acceptable? Remember: V=²³