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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

What is the difference between 3liter and 1gallon?

There are several different usages of the gallon.

The US gallon is about 3.785 liters, so the difference between 3 liters and 1 US gallon is about 0.785 liters.

The UK (Imperial) gallon is about 4.543 liters, so the difference between 3 liters and 1 UK gallon is about 1.543 liters.

Will a vector multiplied by another vector result in another vector?

It depends on the angle between the vectors (AB). The product of two vectors Av and Bv is AvBv=-Av.Bv + AvxBv= |AvBv|(-cos(Ab) + vsin(AB)). If the angle is a odd multiple of 90 degrees the product is a vector. If he angle is an even multiple of 90 degrees, the product is a scalar. If he angle is not a multiple of 90 degrees, the product of a vector by another vector is a quaternion, the sum of a scalar and a vector. Most numbers in physics and science are quaternions, a combination of scalars and vectors.Quaternions forma mathematical Group, vectors don't. The product of quaternions is always a quaternion. The product of vectors may not be a vector, it may be a vector , a scalar or both. The product of scalars is also a Group. Vector by themselves do not form a Group. The Order of Numbers are Scalars form a Group called Real Numbers; scalars and a single vector form a group called complex numbers; scalars and three vectors form a group called Quaternions. These are the only Groups that provide an Associative Division Algebra.

How many feets are between two oil palm trees?

hoe u cheating aernt u well then i can help u >:D but im not because i dont want too have fun being mad at me ;3

Is 14 and 6 proportional if it decreases 7 and 3?

14:6

When divde by 2 both sides;

7:3

This is the answer

Two quantities are inversely proportional when one is multiplied or divided by any number, the other is divided or multiplied by the same number.

The relation is also commonly denoted as:

y ∝ x−1

The graph of two variables that are inversely proportional is a hyperbola.

Speed and time are inversely proportional because as the speed increases, the time it takes to reach the destination decreases.

Examples

3 workers build a wall in 12 hours. How long would it have taken for 6 equally productive workers?

In this example, the number of workers and the time are inversely proportional, because when the quantity of people decreases, the total time increases and when the quantity of people increases, the total time decreases.

Follow these steps to complete an inverse proportionality word problem:

Write down the ratio using one type of term (number of workers or time).

Write down the ratio with the second type of term (number of workers or time).

Invert one of the ratios (flip it upside down).

Cross-multiply, divide and solve (the same method used for direct proportions).

It takes 14 hours for a faucet with a flow of 18 liters per minute to fill a reservoir with water. How long will it take if its flow is reduced to 7 liters per minute?

In this example, the flow and time are inversely proportional, because when the flow decreases, the total time increases and when the flow increases, the total time decreases.

What does 2.5 um mean in terms of measurement?

I assume you meant 2.5 μm, but couldn't put the μ character into your question. If so, a μm, micrometer, or micron is a unit of length equal to 10-6 meters. 2.5 μm is therefore equal to 2.5 X 10-6 m, which is about equal to the width of a single strand of spiderweb silk.

How many hours in 10 Jupiter days?

1 Day on Jupiter = 9.933333 Earth Hours.

10 Days on Jupiter = 99.33333 Earth Hours.

Can you transform into a werewolf if you are angry?

There is a rare group of people who can't, they're the lucky ones.

When you get extremely angry your bones crack and you transform into a werewolf.

Most people go to anger management to control this but others don't care.

It's easier to pretend it doesn't happen :)

How many 4 foot by 8 foot sheets would cover 100 foot by 60 foot?

the no.of sheets =total area /area of sheet .

Thus ,no.of sheets = 100 X60 /4 X8.

=6000/32

=187.5.

What is binary equivalent of red?

011100100110010101100100 = red

010100100100010101000100 = RED

Is 12 cups greater or less than 98 fl oz?

To compare 12 cups and 98 fluid ounces, we need to convert cups to fluid ounces. There are 8 fluid ounces in a cup, so 12 cups equals 96 fluid ounces (12 x 8 = 96). Since 96 fl oz is less than 98 fl oz, 12 cups is less than 98 fl oz.