A system of equations is graphed on the coordinate plane. y=−2x−3y=−2x+2 Graphs of the equations y equals negative two x plus tw
2 answers:
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At the start, the tank contains
(0.25 lb/gal) * (100 gal) = 25 lb
of sugar. Let be the amount of sugar in the tank at time
. Then
.
Sugar is added to the tank at a rate of <em>P</em> lb/min, and removed at a rate of
and so the amount of sugar in the tank changes at a net rate according to the separable differential equation,
Separate variables, integrate, and solve for <em>S</em>.
Use the initial value to solve for <em>C</em> :
The solution is being drained at a constant rate of 1 gal/min; there will be 5 gal of solution remaining after time
has passed. At this time, we want the tank to contain
(0.5 lb/gal) * (5 gal) = 2.5 lb
of sugar, so we pick <em>P</em> such that
A washer has outer radius 
and inner radius 
![\displaystyle V = \int_0^1 \pi\Big[ \left( 2 - x^2 \right)^2 - \left( 2 - \sqrt{x}\right)^2\Big] dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cint_0%5E1%20%5Cpi%5CBig%5B%20%5Cleft%28%202%20-%20x%5E2%20%5Cright%29%5E2%20-%20%5Cleft%28%202%20-%20%5Csqrt%7Bx%7D%5Cright%29%5E2%5CBig%5D%20dx)
Answer:
228 hydrogen atoms
Step-by-step explanation:
In a water molecule,
1/3rd is oxygen atoms, and
2/3rd (1 - 1/3 = 2/3) is hydrogen atoms
If there are 114 water molecules,
Total number of atoms would be:
3 * 114 = 342 (1 oxygen and 2 hydrogen atoms in 1 water molecule)
Out of these, 2/3rd would be hydrogen atoms, so:
There would be 228 hydrogen atoms