3 years ago

Please help i don't get thisD) -2≤f(x)≤9

Mathematics

1 answer:

Eva8 [605]3 years ago

7 0

Answer:

it means, the minimum value/ lower limit and maximum value/ upper limit of the line graph along the x-axis is -2 and 9 respectively.

The graph lies between -2 and 9

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<img src="https://tex.z-dn.net/?f=z%5E%7B7%7D%3D128i" id="TexFormula1" title="z^{7}=128i" alt="z^{7}=128i" align="absmiddle" cla

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If z ⁷ = 128i, then there are 7 complex numbers z that satisfy this equation.

$z^7 = 128i = 2^7i = 2^7e^{i\frac\pi2}$

$\implies z=\sqrt[7]{2^7} e^{i\frac17\left(\frac\pi2+2n\pi\right)}$

(where n = 0, 1, 2, …, 6)

$\implies z = 2 e^{i\left(\frac\pi{14}+\frac{2n\pi}7\right)}$

$\displaystyle\implies z = 2 \left(\cos\left(\frac\pi{14}+\frac{2n\pi}7\right)+i\sin\left(\frac\pi{14}+\frac{2n\pi}7\right)\right)$

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3 years ago

Please help i don't get thisD) -2≤f(x)≤9​

Please help i don't get thisD) -2≤f(x)≤9