# math

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A ship is 400 miles directly north of the tahiti and is sailing south at 20mi/hr. another ship is 300 miles east of tahiti and is sailing west at 15mi/hr. at what rate is the distance between the ships changing?

• math -

this teacher likes negative derivatives
h^2 = x^2 + y^2
2 h dh/dt = 2 x dx/dt + 2 y dy/dt
dx/dt = -15
dy/dt = -20

h at t = 0 is 500

2 (500)dh/dt = 2 (300)(-15) + 2(400)(-20)

enough

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