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7nadin3 [17]
3 years ago
14

Solve equation for e^2x=-1

Mathematics
1 answer:
geniusboy [140]3 years ago
7 0
You just need to recall that e^(anything) will never be smaller than 0. Think a graph of e^x

So then there is no solution for e^(2x) = -1. Is that clear?
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What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8
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Answer:

Formula for the Arc length is given by:

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As per the statement:

radius of circle(r) = 6 units

Angle (\theta) = \frac{7 \pi}{8} radian

Use conversion:

1 rad = \frac{180}{\pi}

\frac{7 \pi}{8} = \frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}

then;

substitute these given values we have;

Use value of \pi = 3.14

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}

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Simplify:

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Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

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