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3 years ago

What is the equation of the midline of the function f(x) = 5.6sin (2.6x - 4.2) - 9.1?

Mathematics

1 answer:

Iteru [2.4K]3 years ago

5 0

Answer:

$f(x) = -9.1$

Step-by-step explanation:

The midline is set on $f(x) = -9.1$ , when the sine function is equal to zero, eliminating the effect from amplitude. The midline is a horizontal line. Hence, the equation of the midline is:

$f(x) = -9.1$

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$\displaystyle5\int_0^0e^t\,\mathrm dt+5\int_0^{2\pi}(1-\cos2v)\,\mathrm dv$

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$\displaystyle5\int_0^{2\pi}(1-\cos2v)\,\mathrm dv=5\left(v-\dfrac12\sin2v\right)\bigg|_{v=0}^{v=2\pi}=10\pi$

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