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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
The measurements make for a very steep slide with a gradient of nearly 3.3! Anyway, given these measurements, the bottom of the slide needs to be attached approx 25.6 inches from the bottom of the tower.
What is 52 with an exoponet of -3 simplified to?
Use the definition of negative exponents: that's the same as 1 divided by (52 to the power 3).
What is the answer to the problem -24-25?
When you subtract a number from a negative number, the resulting answer answer is only more negative. To phrase the problem in words, what value is 25 less than negative 24?
So your answer is -49
How many meters cubed are in one foot cubed?
1 ft = 0.3048 m
1 ft3 = 1 ft x 1 ft x 1 ft
= 0.3048 m x 0.3048 m x 0.3048 m
≈ 0.0283 m3
What represents thefffffffffffff difference between two equal fractions A 1 B 1 half C 1 fourth D 0?
Choose D. Anything minus itself equals zero.
If surface area is 624square meters how many 10cm by 10cm tiles are needed to cover surface?
1 cm = .01m so were looking at 624 sq. m covered by blocks with area .01 sq. m. Divide 624 by .01 and you get 62400 tiles.
What are the numbers that can be rounded off to 4.3?
Anything greater than or equal to 4.25 and less than 4.35
What is a sentence for transform?
I was transformed after having a talk with him.
She is now a totally transformed woman.
Are 8 and one-fourth 6 and two-fourth 2 and three-fourth similar fractions?
Well they all have quarters in them... But really they represent the decimals 8.25, 6.5 and 2.75 respectively.
Dot product is an algebraic operation when two equal-length sequences of numbers are returned as a single number.
What example is there for when a power of 2 is equal to a power of 4 and greater than the number 40?
4 = 2²
→ 4^x = 2^(2x)
We want 4^x > 40
Taking logs gives:
x log 4 > log 40
→ x > log 40 / log 4
This can be solved to find a value of x to be greater than (approx) 2.661
Thus 4^2.662 = 2^5324 ≈ 40.06 is an example.
So all powers of 4 where the power is greater than approx 2.661 with 2 to the power of twice that power of 4 will solve the problem.
If you are looking for integer powers of 2 and 4, then the first integer power of 4 is 4³ = 64 = 2^6, and the solutions are:
4^3 = 2^6 = 64
4^4 = 2^8 = 256
4^5 = 2^10 = 1024
etc.
What kind of figure a cylinder?
It is a three dimensional object, not a figure. It may be considered a circular prism.
How do you hold up 10 encyclopedia with 2 peicas of paper?
The answer depends on what "peicas" are: it is not a term that is recognised.
