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kaheart [24]
4 years ago
12

What is the area of trapezoid ABCD?

Mathematics
1 answer:
xeze [42]4 years ago
6 0

Answer:

25

Step-by-step explanation:

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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;

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where;

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

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  • \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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Step-by-step explanation:

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