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kozerog [31]
3 years ago
7

I need help with theses problems

Mathematics
1 answer:
castortr0y [4]3 years ago
8 0

Interchange (switch) the value of x and y in "y = x + 5" as x = y + 5, subtract 5 from both sides and re-write in the form "y = f(x)" as y = x - 5.

<h3>What is an inverse function?</h3>

In Mathematics, an inverse function can be defined as a type of function that is obtained by reversing (undoing) the operation of a given function (f(x)).

The steps required to write the inverse of f(x) = x + 5 include the following:

  • Interchange (switch) the value of x and y in "y = x + 5" as x = y + 5.
  • Subtract 5 from both sides, we have x - 5 = y.
  • Re-write in the form "y = f(x)" as y = x - 5.

Read more on inverse function here: brainly.com/question/10219387

#SPJ1

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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 }

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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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Answer: (4) d=112 (7) 2.75 or 2 3/4

explanation: pictured below

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