Posted by Anonymous on Wednesday, November 21, 2012 at 9:21am.
QUESTION 3
A boat sails 30 miles to the east from a point P, then it changes direction and sails to the south. If this boat is sailing at a constant speed of 10 miles/hr, at what rate is its distance from the point P increasing
a) 2 hours after it leaves the point P
b) 7 hours after it leaves the point P

calculus  Steve, Wednesday, November 21, 2012 at 10:25am
at 10 mph, it is still going east at t=2
so, distance is increasing at 10 mph
at t=3, it turns south. After that, the distance d from P is
d^2 = 30^2 + (10(t3))^2
2d dd/dt = 200(t3)
at t=7, d=50
2*50 dd/dt = 200(4)
dd/dt = 8 mph

calculus  kchik, Thursday, November 22, 2012 at 6:06am
i'm still not understand for this conclution

calculus  kchik, Thursday, November 22, 2012 at 6:13am
*conclusion not conclution

calculus  Stane, Thursday, November 22, 2012 at 6:56am
where do you get 200(t3)???
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