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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 can you expect to find on an 8th grade honors math course?
Algebra and perhaps at the intermediate level.
Solve for X.
5x = 11
How do you find the measuring term in a proportion?
there is a lot of different proportions is there a particular kind that you need to know about i am useing IXL.comright know
What is the perimeter of Great Britain?
Extract from Wikipedia:
The mapping authority for the United Kingdom, the Ordnance Survey, records the coastline of the main island, Great Britain, as 11,072.76 miles rounding to 11,073 miles (17,820 km). If the larger islands are added the coastline, as measured by the standard method at Mean High Water Mark, rises to about 19,491 miles (31,368 km).
Note that the measurement of any coastline is subject to variation depending upon the scale of map used and is an approximation. The smaller the map scale and the smaller the ruler will result in more detail being revealed and thus a greater length. This is referred to as the coastline paradox. A coastline is also fractal - which roughly means that it is self-similar, the same at every scale - the closer the observer looks, the more detail is revealed, leading to a greater overall length.)
What is one fifteenth plus four ninths?
To add fractions you must have the same denominator.
1/15 + 4/9
45 is the common denominator here and now you need forms of one to get the denominators the same
3*1/3*15 + 5*4/5*9
3/45 + 20/45
= 23/45
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What do get if you round 44.99 to the nearest 10.00?
The nearest 10 would be 40. (Were the number 45.00, the nearest 10 would be 50, but that 0.99 causes it to fall just short of that.)
What equation do you use to figure out how many minutes you have been alive?
You can get an approximate answer by calculating your age in the number of days. In Excel this is "=today() - dob" where dob is your date of birth in whichever date format you use.
Then multiply the answer by 1440, the number of minutes in a day. The answer can be wrong by almost 1440 minutes: if you were born just before midnight and you do the calculation just after midnight.
What is 3.25 percent as a fraction in lowest term?
3.25 as a fraction is 3 and 1/4. It is already in simplest form at this point.
How do you round 7.5 to the nearest tenth?
7.5 already IS at a tenth . . . there is no rounding to be done.
4-12n=-7
-12n=-7-4
-12n=-11
12n=11
n=11/12
n=0.916666666666666666...
25
What does the greek letter lambda mean in a formula?
It depends on the context. It can refer to the parameter of the Poisson distribution, the length (particularly wavelength), the distance parameter in vector representation of a line r = a + lambda*b where r, a and b are vectors.
How is 15 30ths greater than 1 3rd but less than 2 3rd?
Because 15/30 is a 1/2 which is greater than a 1/3 but less than 2/3
What is power set of power set of an empty set?
It is the set comprising the following 4 elements:
- phi,
- {phi},
- {{phi}} and
- {phi, {phi}}
Do you add when you are dealing with ratios?
You can do - it depends on the question. If I divide something between two people in the ratio of 2 : 3 the first one will get 2/(2+3) of the total.
What problems did Einstein try to solve?
1. When Maxwell's Equations predict an electro-magnetic wave travelling at a certain speed, what frame is that speed measured from?
2. How to explain the photo-electric effect.
3. How to explain Brownian Motion.
4. Can gravity be added to special relativity?
If he had solved any one of the above issues, Einstein would have been regarded as one of the great minds of the 1900s. He solved all of them!
However, he was unable to solve either of these:
1) Can the electric field be added to general relativity?
2) Is there a general paradigm for our Universe in which quantum mechanics is only a useful subset of reality?
They both remain unsolved today.
Does mass affect speed when you put pennies on a toy car and let go down a ramp?
Yes,
As a Boy scout we would weight our cars so that they would travel faster.
