An acute triangle has side lengths 21 cm, x cm, and 2x cm. if 21 is one of the shorter sides of the triangle, what is the greate
2 answers:
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Answer:
a) Depth changing rate of change is , When the water is 6 meters deep
b) The width of the top of the water is changing at a rate of , When the water is 6 meters deep
Step-by-step explanation:
As we can see in the attachment part II, there are similar triangles, so we have the following relation between them , then
.
a) As we have that volume is , then
, so we can derivate it
due to the chain rule, then we clean this expression for
and compute with the knowns
, is the depth changing rate of change when the water is 6 meters deep.
b) As the width of the top is , we can derivate it and obtain
The width of the top of the water is changing, When the water is 6 meters deep at this rate
