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SOLVING EQUATION CONTAINING ABSOLUTE VALUE(S)
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Rhino 5 for Windows - Requires a license key.(change log) Grasshopper for Rhino 5 - generative design tools Rhino 5 for Windows Language Pack - interface and documentation. Download Rhinoceros 5.4.2 for Mac Free. It is full Latest Version setup of Rhinoceros 5.4.2 Premium Pro DMG for Apple Macbook OS X. Brief Overview of Rhinoceros 5.4.2 for Mac OS X. Rhinoceros 5.4.2 for Mac is a very handy 3D modeling application which can be used for creating and analyzing mathematical representations of the 3D objects.
In general, Rhino works best if you choose a unit system whose absolute tolerance is around 0.01 to 0.001, the 'size' of a small feature (like a tiny fillet or small curve offset distance) is = 10 x tolerance, and the 'size' of the model is. Impulse equals Change in Momentum F = average applied force = to be determined Δt = time during which the force is applied = 0.50 s m = mass = 1,700 kg Δp = change in momentum = to be determined Δv = change in velocity = to be determined v1 = initial velocity = 50.0 km/h = 50,000 m/h = 13.9 m/s v2 = final velocity = 0.00 km/h = 0.00 m/s.
- if and only if
- if and only ifa + b = 3 or a + b = -3
- if any only ifa + b = +(x + y)or a + b = -(x + y)
Solve for x in the following equation.
Example 1:
=Either
orSolve
Solve
The answers are 7.694933, -0.194933, 3.5 and 1. These answers may ormay not be solutions to the original equation. You must verify each of theanswers.
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Check the solutions:
Diskcryptor for mac. Check the answer x=7.694933 by substituting 7.694933 in the originalequation for x. If the left side of the equation equals the right side ofthe equation after the substitution, you have found the correctanswer.
- Left Side:
- Right Side:
Check x=-0.194933 by substituting -0.194933 in the original equation forx. If the left side of the equation equals the right side of the equationafter the substitution, you have found the correct answer.
- Left Side:
- Right Side:
Check x=3.5 by substituting 3.5 in the original equation for x. If theleft side of the equation equals the right side of the equation after thesubstitution, you have found the correct answer.
- Left Side:
- Right Side:
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Check x=1 by substituting 1 in the original equation for x. If the leftside of the equation equals the right side of the equation after thesubstitution, you have found the correct answer.
- Left Side:
- Right Side:
Since the left side of the original equation is equal to the right sideof the original equation, the answer x=1 is a solution to the originalequation.
The solutions are x=7.694933, -0.194933, 3.5, and 1.
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You can also check your answer by graphing
The graph was formed by subtracting the right sideof the original equation from the left side of the original equation. Youwill note that the four x-intercepts on the graph are located at x=7.694933, -0.194933, 3.5, and 1. This verifies the four solutions by agraphical method.
If you would like to test yourself by working some problems similar tothis example, click on problem.
If you would like to go back to the equation table of contents, click on contents.
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