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Alexus [3.1K]
3 years ago
9

3y+10= -5x and 5-2x=5y

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

Answers In Images Below \/

Step-by-step explanation:

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Match each statement to the reasons for the geometric proof. Part 3​
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  4 1 5 3 6 2

Step-by-step explanation:

The general approach to this proof is to show the triangles created by the diagonal are congruent. Then, parts of those triangles (opposite sides) are congruent. The congruence of the triangles is shown by making use of the fact that alternate interior angles are congruent, and the diagonal is congruent to itself. Thus, you have two angles and the side between shown as congruent, and can invoke the ASA postulate.

The steps of the proof (1 to 6) are already in order. The task is to find the geometric relation the step is describing from the list on the left.

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Write five other iterated integrals that are equal to the given iterated integral. 8 0 x2 0 y f(x, y, z) dz dy dx 0
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An iterated integral is the outcome of taking integrals toward a function of more than one variable in such a way that part of the variables is treated as constants for each of the integrals.

From the given parameters, we are to write out five iterations for a triple integral;

\mathbf{\int ^8_0\ \int^{x^2}_{0} \  \int^y_0 \ \  f(x, y, z)  \ dz dy dx }

where;

  • the region is bounded by 0 ≤ z ≤ y, 0 ≤ y ≤ x², 0 ≤ x ≤ 8.

Thus, since x, y, z are functions of at least one variable, we can have the following iterations:

  • \mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{y}} \ \int^{y}_{0} \ \ f(x,y,z) dz dxdy}

  • \mathbf{\int^{64}_{0} \ \int^{y}_{0} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdzdy}  

  • \mathbf{\int^{64}_{0} \ \int^{64}_{z} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdydz}

  • \mathbf{\int^{8}_{0} \ \int^{x^2}_{0} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydzdx}  

  • \mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{z}} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydxdz}  

Learn more about iterated integrals here:

brainly.com/question/7009095

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