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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 a solution of 4x plus 9 equals 25?
Since 'x' appears only to the 1st power, this is a linear equation,
and there's only one solution.
4x + 9 = 25
Subtract 9 from each side:
4x = 16
Divide each side by 4:
x = 4
What is the maximum depth a water spill will be on a flat surface?
Any, depending on the volume of water spilt and the area of the flat surface.
The specific height is also constrained by the surface tension of the water, the atmospheric pressure above it, and the gravity below it.
Why is anything divided by zero undefined?
because it would be every positive number and there are infinaty numbers so people don't do it.
draw it out for ease.
data:
ab + 2 = ac
bc-1 = ac
therefore ab +2 = bc - 1
ab - bc = -3
perimeter is 62. /3 as most values are small difference. average distance is ~21.
ab is smallest, guess it is 19. if so, ac would be 21. bc would be 22. does this add up?
it actually does. i guess there is a mathematical way of doing this other than trial and error like the way i just did it, but i cannot see it right now
What is the difference between an infinite sequence and an infinite series?
A series is a special case of a sequence where the n'th term is the sum of n numbers a1, a2, ..., an. In other words, it is a sequence in the form S1 = a1 S2 = a1 + a2 S3 = a1 + a2 + a3 ... Sn = a1 + a2 + ... + an
What is the difference between unilateral and bilateral laplace transform?
unilateral means limit is 0 to infinite and bilateral means -infinite to +infinite in laplace transform
What is 6 cubed in expontentional form?
It is 216 and as a product of its prime factors in exponents: 2^3*3^3 = 216
Why is infinity minus infinity undefined?
Infinity is a concept, not an actual number.
Someone may say the number of stars is infinite, or that the number of fractions between 0 and 1 is infinite, or that the number of even numbers is infinite. But these are not things that can be subtracted.
All kinds of reasoning in geometry?
*analogy- comparison if two things alike in some aspects or they will be semble
one another in other aspect.
*intuition - mental ability same as guessing.
*inductive - forming of general statement from particular specific case.
*deductive - making conclusion from general to particular stances.
No. The units don't matter, the circumference always equals pi times the diameter. (This is only true of the circumference and diameter are in the same units. If for example, the circumference was in feet and the diameter in inches, the feet must be change to inches or the inches to feet in order for this relationship to be true.)
How do you make .56 into a fraction?
5.6=5.60
So it is like 5 60/100.
Simplify it to 5 6/10 because 10 times 6=60 and 10 times 10=100.
Simplify it again to 5 3/5.
So it is 5 and 3/5.
;) :D
