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Ksju [112]
3 years ago
12

5. Find a counterexample to show that the following con-

Mathematics
1 answer:
Bess [88]3 years ago
7 0

Answer:  see below

<u>Step-by-step explanation:</u>

Any value x such that |x| < 1 will make the conjecture false

<em>In simpler words, let x be a fraction between 0 and 1.</em>

One example: Let x = \dfrac{1}{2}

Then x⁴ = \bigg(\dfrac{1}{2}\bigg)^4

             = \dfrac{1}{16}

\dfrac{1}{16} < \dfrac{1}{2}

so the conjecture is false.

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\bf c=\sqrt{1^2+9^2}\implies c=\sqrt{82} \\\\[-0.35em] ~\dotfill\\\\ cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{\sqrt{82}}}\implies \stackrel{\textit{rationalizing the denominator}}{cos(\theta )=\cfrac{1}{\sqrt{82}}\cdot \cfrac{\sqrt{82}}{\sqrt{82}}}\implies cos(\theta )=\cfrac{\sqrt{82}}{82}

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3 years ago
Perform the indicated operation and express the result as a simplified complex number. I need help with 35
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\frac{2+11i}{3}=\frac{2}{3}+i\frac{11}{3}

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\frac{2}{3}+i\frac{11}{3}

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2 years ago
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Answer:

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3 years ago
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