Page 81 - How To Solve Word Problems In Calculus

Substituting the given information,

dh
2
10 = 4π · 5
dt
dh
10 = 100π
dt
dh 1
=
dt 10π

1
The height of the cone is rising at the rate of ft/min.
10π
8.

Rocket

z y

Radar 2000
station

dy dz
Given: = 500 Find: 10 seconds later
dt dt
By the Pythagorean theorem,

2
2
z = y + 2000 2
Differentiating,

dz dy
2z = 2y
dt dt

dz dy
z = y
dt dt
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