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
5x+26< 6 maybe this is the answer
Answer: 432
Step-by-step explanation:
I assume we are talking about natural numbers greater than one. Otherwise, one would be the first square, cube, quad, ... number. So 2^2=4, first, 3^2=9, second, 4^2=16, third. The Nth square number would be (N+1)^2, Nth cube number (N+1)^3.
So answer is (3+1)^2×(2+1)^3=4^2×3^3=16×27=42+120+270=432