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solong [7]
2 years ago
8

Suppose that fanf g are continuous functions,

Mathematics
1 answer:
shtirl [24]2 years ago
7 0

The required result based on given continuous functions is: 207. See the explanation for same below.

<h3>What are continuous functions?</h3>


A continuous function in mathematics is one in which a continuous variation (that is, a change without a jump) of the argument causes a continuous variation of the function's value.

<h3>What is the calculation for the above solution?</h3>

Since G and F are continuous functions,

\int_{12}^{28}) \, f(x) dx = 19

\int_{12}^{28}) \, f(x) dx = 35

Therefore,

\int_{12}^{28}) \, [K g(x) - 2 f(x)] dx

= K \int_{12}^{28}) \, g(x) dx -2 \int_{12}^{28}) \, f(x) dx

So, given that K = 7, we have

7 x 35 - 2 x 19
= 245 - 38
= 207

Learn more about continuous functions at;
brainly.com/question/18102431
#SPJ1

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