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What is fluid force?
The force "F" exerted by a fluid of constant weight density "w" against a submerged vertical plane region from y=c and d.
F=w ^{d}_{c} h (y)×L (y) dy

What is fluid force?
The pressure on an object at a certain depth "h" in a fluid is p=wh where "w" is the weight density of the liquid per unit volume.

What is Pascal's principle?
The pressure exerted by a fluid at a depth "h" is transmitted equally in all directions. P=f/a or force/area

What is the weight densities of water and sea water?
Water=62.4 sea water=64.0

Does the size of the body of water effect the fluid force?
No.

What is the moment of center of mass for one dimension?
Let point masses be m _{n }located at x _{n }. The moment about the origin is M _{o }= m _{1}x _{1 }+ m _{2}x _{2 }+...+ m _{n}x _{n}. The center of mass is =M _{o }/m

What is the center of mass for 2 dimensions?
The point masses are m _{n }located at (x _{n }, y _{n }). The moment about the yaxis is m _{y }= +...+m _{n}_{ }x _{n . }The moment about the xaxis is m _{x}= +...+m _{n }y _{n }. The center of mass is ( , ) where =M _{y }/m and =M _{x }/m.

What is the moment and center of mass of a planar lamina?

derivative of sinhu?
coshu du/dx

derivative of coshu?
sinhu du/dx

derivative of tanhu?
sech^{2}u du/dx

antiderivative of coshu?
sinhu+c

antiderivative of sinhu?
coshu+c

antiderivative of sech^{2}u?
tanhu+c

hyperbolic sine?
e^{x}e^{x}/2

hyperbolic cosine?
e^{x}+e^{x}/2

hyperbolic tangent?
sinhx/coshx

inverse hyperbolic sine?
ln(x+(x^{2}+1)^{1/2})

inverse hyperbolic cosine?
ln(x+(x^{2}1)^{1/2})

inverse hyperbolic tangent?
ln(1+x/1x) / 2

