# а.b. dyДу - dy11. A metal rod 15 cmlong and 5 cm in diameter is to be covered (except for the ends) with insulation that is .01 cmthick. Use differentials to estimate the volume of insulation.12. A paper cup has the shape of a cone with height 10 cm and radius 3 cm (at the top). If water is poured into thecup at the rate of 2 cm2/sec, how fast is the level rising when the water is 5 cm deep?13. The radius of size 5 soccer balls is estimated to be 4.5 inches with a maximum error in measurement of t .05 in.Use differentials to estimate the maximum error in the calculated volume. Approximate the average error andpercentage error.14. Two boats areracing, each with constant speed toward a finish marker. Boat A is sailing from the south at 13mph, and boat B is approaching from the east at another speed. When the boats are 16 miles apart, the distancebetween them is decreasing at the rate of 17 mph. At this same instant, the boats are at the same distance from thefinish marker. Find the speed of boat B. Which boat will win the race?042

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Asked Oct 7, 2019
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