- #1
BlackSheep987
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Okay so I have this related rates problem for my AP Calculus Class
A trough (Extruded Trapezoid) with a height of 2, Base 1 (bottom) of 2, Base 2 (top) of 6 and a extrusion of 10.
(I provided a picture for better understanding)
--------------------------------------…
A = Area of the top surface of the Water
h = Depth of water
V = Volume of Water
The trough empties at a rate of 5 ft^3/min
--------------------------------------…
I have to find dA/dt and dV/dt when h = 1/2 ft
Our teacher gave us the A and V equations in terms of h
A = 10(2+2h)
V = 20 + 10h^2
I need help understanding how he got to the formulas above from the regular Area and Volume Equations
I also need help getting the correct answer when h = 1/2 ft ( I don't know where to get a value for dh/dt)
Here is a link to the picture
http://i.imgur.com/YjXzJ.png
Thanks
A trough (Extruded Trapezoid) with a height of 2, Base 1 (bottom) of 2, Base 2 (top) of 6 and a extrusion of 10.
(I provided a picture for better understanding)
--------------------------------------…
A = Area of the top surface of the Water
h = Depth of water
V = Volume of Water
The trough empties at a rate of 5 ft^3/min
--------------------------------------…
I have to find dA/dt and dV/dt when h = 1/2 ft
Our teacher gave us the A and V equations in terms of h
A = 10(2+2h)
V = 20 + 10h^2
I need help understanding how he got to the formulas above from the regular Area and Volume Equations
I also need help getting the correct answer when h = 1/2 ft ( I don't know where to get a value for dh/dt)
Here is a link to the picture
http://i.imgur.com/YjXzJ.png
Thanks