Скачать или смотреть Related Rates Problems

 Question (1):
If a plane flying horizontally at an altitude of 2 km and at a speed of 800
𝑘𝑚/ℎ passes directly over a radar station. Find the rate at which the distance
from the plane to the radar station is increasing when it is 3 km away from
the radar station.
 Question (2):
If a ball of ice is melting such that its surface area decreases at a rate of
1 𝑐𝑚²/𝑚𝑖𝑛 , find the rate at which the diameter decreases when the diameter
is 10 cm
 Question (3):
At noon, ship A is 150 𝑘𝑚 west of ship B. Ship A is sailing east at 35 𝑘𝑚/ℎ
and ship B is sailing north at 25 𝑘𝑚/ℎ. How fast is the distance between the
ships changing at 4:00 pm?
 Question (4):
Water is leaking out of an inverted conical tank at a rate of 10,000 𝑐𝑚³/𝑚𝑖𝑛
and at the same time water is being pumped into the tank at a constant rate.
The tank has a height of 6 m and the diameter at the top is 4 m. If the water
level is rising at a rate of 20 𝑐𝑚/𝑚𝑖𝑛 when the height of the water is 2 m,
find the rate at which water is being pumped into the tank.