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Nat2105 [25]
3 years ago
14

Describe how to determine the solution of a system of two linear equations by graphing.

Mathematics
2 answers:
KengaRu [80]3 years ago
7 0
1). Draw the graph of one equation.

2). On the same graph, draw the graph of the other equation.

3). If the two lines cross, the x and y at the point where they cross are the solution to the system of two equations.

4). If the two lines don't cross, then the system has no solution.

5). If they are the same line, then the two equations are the same equation, and every point on the line is a solution to it.
levacccp [35]3 years ago
4 0
Using the graphing you graph the two equations and then find the point where the two lines of the equation meet.

Hope this helps :)
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mash [69]
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7 0
3 years ago
Use spherical coordinates. evaluate (9 − x2 − y2) dv, where h is the solid hemisphere x2 + y2 + z2 ≤ 4, z ≥ 0.
avanturin [10]
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\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\varphi\end{cases}

which gives volume element

\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta

and so the triple integral is given by

\displaystyle\iiint_H(9-x^2-y^2)\,\mathrm dV
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