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Mathematical Analysis

Mathematical analysis is, simply put, the study of limits and how they can be manipulated. Starting with an exhaustive study of sets, mathematical analysis then continues on to the rigorous development of calculus, differential equations, model theory, and topology. Topics including real and complex analysis, differential equations and vector calculus can be discussed in this category.

2,575 Questions

Find two numbers whose sum is 35 and whose difference is 9?

start with what you know: x + y = 35 x - y = 9 add them together: x + x + y - y = 35 + 9 resolve the rest of the facts: X + X = 44 X = 22 22 + y = 35 22 + y - 22 = 35 - 22 y = 13 confirm: 22 + 13 = 35 22 - 13 = 9

How many milliliters are in 1000 milligrams?

If you take 1000 milligrams of distilled water at 0 degrees centigrade, it will measure exactly 1 milliliter. Likewise, 1 kilogram of distilled water at 0 degrees centigrade is exactly 1 liter.

However, for other substances, the answer will differ. It depends on the volume of the substance that weighs 1000 mg.

For example, 1000 mg of lead (Pb) is far smaller in volume than 1000 mg of water (H2O), which is far smaller in volume of 1000 mg of gaseous Oxygen (O2).

ML is milliliters - a volume.

mg is milligrams - a weight.

1000 milliliters = 1 liter.

1000 milligrams = 1 gram.

How much is 1 year in seconds?

1 (normal) year is 31536000 seconds and a leap year is 31622400 seconds.

What side reads the same upside down or right side up?

Do you mean "Ambigram" ; a typographical design or art form that may be read as one or more words not only in its form as presented, but also from another viewpoint, direction, or orientation.

Why is it non set is asubset of all sets?

A "subset" means you can make it out of the pieces in the original set. No matter what set you begin with, you always have the option to choose no pieces at all--that creates the null subset.

How many years are in 505 days?

505 days (1 year/365 days)

= 1.3836 years

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.3836 * 365 = 140 days

so,

1 year and 140 days

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Decision making method?

1. Think "What will the result be if I do this?"

2. Have other options and decide with makes you happiest.

3. Make a list in your mind about whats good and whats bad about the decision you're about to make.

4. Make sure you're ready for it.

5. You will have you're result!

What is 6.10ft in inches?

6.10 ft = 6.1 ft = 73.2 inches.

Note 6.10 ft is NOT 6 ft 10 inches.

What is the biggest number you can round to 110000?

There is no biggest number that rounds to 110000. There is a smallest number that rounds higher. 110000.5, also represented by 110000.4999(infinitely repeating 9s) is the smallest number that rounds up to 110001.

110000.49 works, so does 110000.499, so does 110000.49999, so does 110000.4 followed by any FINITE string of 9s. But 110000.4 followed by an infinite string of 9s does not.

The reason there is no biggest number that works is that if you were to pick ANY number that works, I could simply go one decimal position further.

The numbers that round to 110000 form the half-open interval [109999.5,110000.5)