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rb276
28.09.2019 •
Mathematics
Related rates fixed buoy? a boat passes a fixed buoy at 9
a.m. heading due west at 3 miles per hour. another boat passes the same buoy at 10
a.m. heading due north at 5 miles per hour. how fast is the distance between the boats changing at 11: 30
a.m.? i can't figure this out! i would appreciate all the i can get! you!
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Ответ:
then co-ordinates of boat A is (3,0)
let dist. between A & B be z, then at time t hrs after 10
z² = (3+3t)² +(5t)² = 34t² +18t +9,
value 112.5 at t = 1.5
2z.dz/dt = 2*34t +2*9
dz/dt = (34t +9)/z
= (34*1.5 + 9)/√112.5
= 5.6569 mph
Ответ:
Related rates fixed buoy? A boat passes a fixed buoy at 9
a.m. heading due west at 3 miles per hour. Another boat passes the same buoy at 10
a.m. heading due north at 5 miles per hour. How fast is the distance between the boats changing at 11:30
a.m.?
5.6569 mph
Ответ: