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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

A thin wire 36 centimeters long is formed into a rectangle if the width is 4 centimeters what is the length?

36 cm is the perimeter of the rectangle.

Since it is the perimeter, there will be two long sides and two short sides. , making the four sides.

This can be algebraically expressed as

P = 2(l + s)

P = 2l + 2s

Substituting

P = 36 sm

s = 4 cm ( assumed).

36 cm = 2l + 2(4cm)

36 cm = 2l + 8 cm

2l = 36 cm - 8cm ( Note the change of sign , when 'crossing the '=' sign

2l = 28 cm

Divide both sides by '2'

l = 14 cm ( is the length).

How many lines of symmetry does a water melon have?

It depends on the shape of the water melon, round, oval, etc.

If it was oval there would probably only be 2 lines of symmetry - top to bottom and left to right. You can't go diagonal because it wouldn't be even. A circle has an infinite number of lines of symmetry. Any chord of the circle that passes through its center will be line of symmetry. And there are an infinite number of lines that can be drawn through the center of the circle. So if the water melon was a circle it would have an infinite amount of symmetry lines.

Hope it helps!! :)

How do you write 2.5 crore in figures?

To write 2.5 crore in figures, you would write it as 25,000,000. In the Indian numbering system, one crore is equal to ten million. Therefore, 2.5 crore is equivalent to 25 million.

How many tens in 92?

There are 9 tens in the number 92. In the decimal system, each place value represents a power of 10, so the tens place in 92 represents 10^1. Since there is a 9 in the tens place, there are 9 tens in the number 92.

What is the reciprocal of 160 as a decimal?

The reciprocal of a number is 1 divided by that number. Therefore, the reciprocal of 160 is 1/160. In decimal form, this would be 0.00625. To convert a fraction to a decimal, you divide the numerator by the denominator.

What times 5 equals 16?

Oh, dude, you're hitting me with the math questions now? Alright, so if you wanna know what times 5 equals 16, you just divide 16 by 5, which gives you 3.2. So technically, 3.2 times 5 equals 16. But hey, who's counting, right?

Why Gaussian kernels are used wavelet transforms?

Oh, dude, Gaussian kernels are used in wavelet transforms because they have a smooth and bell-shaped curve that helps in capturing both low and high-frequency components of a signal. It's like they're the cool kids at the party who can mingle with everyone. So, when we want to analyze signals with varying frequencies, we invite Gaussian kernels to the wavelet transform shindig because they know how to handle the crowd.

How many times does 16 go into 64 without remainders?

Well, darling, 16 goes into 64 a grand total of 4 times without any pesky remainders getting in the way. It's a clean division, no fuss, no muss. Just like splitting a pie into equal slices for you and your sassy friends.

What are two decimals that are equivalent to 0.13?

Well, isn't that just a happy little question! Two decimals that are equivalent to 0.13 are 0.130 and 0.1300. Just adding those zeros at the end doesn't change the value, it just gives it a bit more detail, like adding a touch of highlight to a painting. Remember, there are many ways to express the same number, just like there are many ways to paint a beautiful landscape.

How big in ft is a 25 cubic feet refrigerator in width height and depth?

Since the refrigerator is cubic, its width, height and depth are equal. Therefore, one of the refrigerator's sides is equal to the cube root of 25 = 2.92.

Therefore, the width, height and depth of a 25 cubic feet refrigerator are 2.92 feet.

What is 323423 rounded to the nearest one thousand?

To round 323,423 to the nearest thousand, we look at the hundreds place, which is 3. Since 3 is less than 5, we round down. Therefore, 323,423 rounded to the nearest thousand is 323,000.

Write one million one hundred and ten thousand as a numeral?

Oh, dude, you're making me do math? Fine, fine. One million one hundred and ten thousand written as a numeral is 1,110,000. There you go, hope that satisfies your numerical cravings.

What is 643 rounded to nearest hundred?

Well, darling, 643 rounded to the nearest hundred is 600. It ain't rocket science, just chop off the last two digits and you're good to go. So next time you need a number rounded, just remember to keep it simple, honey.

How do you evaluate 6n for n 6.23?

You replace "n" with its value; then you do the multiplication (6n means 6 times n).

What is 9 divide 31?

The result of dividing 9 by 31 is approximately 0.2903. This can be calculated by dividing 9 by 31 using long division or a calculator. The quotient is a decimal number, as 9 is not evenly divisible by 31.

What is the sum of all prime numbers between 10 and 20?

Oh, what a delightful question! Let's take a moment to appreciate the beauty of prime numbers. The prime numbers between 10 and 20 are 11, 13, 17, and 19. When we add them together with a gentle brushstroke of mathematics, we get a sum of 60. Happy little primes indeed!

What is three-eighth divided by one-seventh?

3/8 divide 1/7

Remember the Rule for division of fractions. ' CHANGE THE SIGN TO MULTIPLY (X) AND INVERT (TURN OVER) THE RIGHT HAND FRACTION.. Then proceed as multiplying fractions.

Hence

3/8 X 7/1 =

21/6 =

2 5/8 The answer!!!!!

What is 2.04 in simplest form?

To express 2.04 in simplest form, we need to convert it to a fraction. Since 2.04 can be written as 2 + 0.04, we can convert the decimal portion to a fraction by dividing 0.04 by 100 (as there are two decimal places). This gives us 2 + 4/100, which simplifies to 2 + 1/25 or 51/25 in fraction form.

4 multiplied by what equals 100?

Well, darling, I hate to break it to you, but 4 multiplied by 25 equals 100. Math doesn't have time for games, it's all about the facts. So, there you have it - 4 times 25 equals 100.

What is the ratio of 45 to 30?

Oh, dude, the ratio of 45 to 30 is 3:2. It's like saying for every 3 parts of 45, you've got 2 parts of 30. So, if you're ever at a party and someone asks for the ratio of 45 to 30, you can impress them with your math skills.

What is the name of 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 sided polygons?

monogon, digon, trigon, tetragon, pentagon, hexagon, heptagon, octagon, nonagon, decagon, hendecagon, dodecagon, tridecagon, tetradecagon, pentadecagon, hexadecagon, heptadecagon, octadecagon, enneadecagon, icosagon, hencosagon, dicosagon, tricosagon, tetracosagon, pentacosagon

What times what equals 83?

Well, there's no 2 integers that equal 83. But if you want decimal factors, you can use 41.5x2=83.