Answer:
a)![780000 lb/ft^2](https://tex.z-dn.net/?f=780000%20lb%2Fft%5E2)
b)Total force = 30017917.805 lb
Step-by-step explanation:
Depth of titanic = 12500 feet
Density of water =![62.4 lb/ft^3](https://tex.z-dn.net/?f=62.4%20lb%2Fft%5E3)
a)Water pressure at the Titanic =![depth \times density = 12500 \times 62.4=780000 lb/ft^2](https://tex.z-dn.net/?f=depth%20%5Ctimes%20density%20%3D%2012500%20%5Ctimes%2062.4%3D780000%20lb%2Fft%5E2)
b)
Set up a integral that gives a total force
Diameter = 7 feet
![Radius = \frac{7}{2}\\x^2+y^2=(\frac{7}{2})^2\\r^2+h^2=(\frac{7}{2})^2\\r=\sqrt{(\frac{7}{2})^2-h^2}](https://tex.z-dn.net/?f=Radius%20%3D%20%5Cfrac%7B7%7D%7B2%7D%5C%5Cx%5E2%2By%5E2%3D%28%5Cfrac%7B7%7D%7B2%7D%29%5E2%5C%5Cr%5E2%2Bh%5E2%3D%28%5Cfrac%7B7%7D%7B2%7D%29%5E2%5C%5Cr%3D%5Csqrt%7B%28%5Cfrac%7B7%7D%7B2%7D%29%5E2-h%5E2%7D)
Rectangular strip area =![2r \Delta h](https://tex.z-dn.net/?f=2r%20%5CDelta%20h)
Pressure = 62.4(12500-h)
Force =![Pressure \times Area](https://tex.z-dn.net/?f=Pressure%20%5Ctimes%20Area)
Force =![62.4(12500-h) \times 2(\sqrt{(\frac{7}{2})^2-h^2}) \Delta h](https://tex.z-dn.net/?f=62.4%2812500-h%29%20%5Ctimes%202%28%5Csqrt%7B%28%5Cfrac%7B7%7D%7B2%7D%29%5E2-h%5E2%7D%29%20%5CDelta%20h)
Total force = ![\int\limits^{\frac{7}{2}}_{\frac{-7}{2}} {124.8(12500-h)\sqrt{(\frac{7}{2})^2-h^2} \, dh](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D_%7B%5Cfrac%7B-7%7D%7B2%7D%7D%20%7B124.8%2812500-h%29%5Csqrt%7B%28%5Cfrac%7B7%7D%7B2%7D%29%5E2-h%5E2%7D%20%5C%2C%20dh)
Total force = 30017917.805 lb
Interval Notation:
(−∞,0)∪(0,∞)
Set-Builder Notation:
{x|x≠0}
115 = (4k+5) + (6k+10) when solving that, combine like terms. then use inverse operations.
Answer:
8
Step-by-step explanation:
just bc
Answer:
8x
Step-by-step explanation:
thats not the answer