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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а.
b. dy
Ду - dy
11. A metal rod 15 cm
long and 5 cm in diameter is to be covered (except for the ends) with insulation that is .01 cm
thick. 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 the
cup 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 and
percentage error.
14. Two boats are
racing, each with constant speed toward a finish marker. Boat A is sailing from the south at 13
mph, and boat B is approaching from the east at another speed. When the boats are 16 miles apart, the distance
between them is decreasing at the rate of 17 mph. At this same instant, the boats are at the same distance from the
finish marker. Find the speed of boat B. Which boat will win the race?
04
2
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а. b. dy Ду - dy 11. A metal rod 15 cm long and 5 cm in diameter is to be covered (except for the ends) with insulation that is .01 cm thick. 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 the cup 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 and percentage error. 14. Two boats are racing, each with constant speed toward a finish marker. Boat A is sailing from the south at 13 mph, and boat B is approaching from the east at another speed. When the boats are 16 miles apart, the distance between them is decreasing at the rate of 17 mph. At this same instant, the boats are at the same distance from the finish marker. Find the speed of boat B. Which boat will win the race? 04 2

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volume of rod
=T2(15)
2
=15%r
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volume of rod =T2(15) 2 =15%r

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Calculus