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Are rational numbers natural numbers'?

They can be but in general any number that can be expressed as a fraction is a rational number


How do you take the antiderivative of 1 over x?

The general formula for powers doesn't work in this case, because there will be a zero in the denominator. The antiderivative of 1/x is ln(x), that is, the natural logarithm of x.


Importance of statistics in mathematics?

Statistical plays a central role in almost all natural and social sciences. The methods of natural sciences are most reliable but conclusions draw from them are only probable, because they are based on incomplete evidence. Statistical helps in describing these measurements more precisely. Statistics is branch of applied mathematics. The large number of statistical methods like probability averages, dispersions, estimation etc… is used in mathematics and different techniques of pure mathematics like integration, differentiation and algebra are used in statistics.


In Arizona this natural landmark is 4000 ft deep?

The natural landmark in Arizona that is 4,000 feet deep is the Grand Canyon. This iconic geological formation was carved by the Colorado River over millions of years and showcases stunning rock layers and diverse ecosystems. The Grand Canyon is not only a significant natural wonder but also a UNESCO World Heritage Site, attracting millions of visitors annually. Its breathtaking vistas and rich history make it a prominent destination for outdoor enthusiasts and nature lovers.


Is a real number a natural?

Yes a real number is a natural since real is natural so anything real is natural and so a real number is natural.