Can some clarify I did this logical expressoin correctly? descrete math

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Hello everyone.

THe directions say:
You recall that the fastest mammal on Earth is either a jaguar or a cheetah. to find a web page to tell you which one is the fastest, write a logical expression containing "jaguar" and "cheetah," and either "speed" or "fastest" but not "car," or "automobile" or "auto"

I wrote the following:

"Jaguar" AND "cheeta" AND (speed or fastest) AND NOT (car OR automobile OR auto)


The book had a simliar problem that stated:
Write a logical expression to find web pages containing the folowing:
"United States Presidents" and either "14th" or "fourteenth" but not "amendment".

The answer was:
"United States President" AND (14th OR fourteeth) AND NOT amendment

Thanks!
 
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Looks right to me.

- Warren
 
thanks :biggrin:
 
It's right, but one thing worth mentioning--you don't have to use quotes around a single word like "Jaguar." Quotes are only necessary to lump several words together. Also, typo on cheetah.
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...

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