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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 gcf of 21and 30 and 44?

21 = 1 x 3 x 7

30 = 1 x 2 x 3 x 5

44 = 1 x 22 x 11

GCF = 1

What is a sentence for transform?

I was transformed after having a talk with him.

She is now a totally transformed woman.

Dot product is?

Dot product is an algebraic operation when two equal-length sequences of numbers are returned as a single number.

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.

What kind of figure a cylinder?

It is a three dimensional object, not a figure. It may be considered a circular prism.

What would it cost to drive a Toyota Prius 600 miles with gas at 3.20 a gallon?

First you must buy the car --- $ 30,000.

Insurance... depends on company and your specific rate ... $ 500

Gas only --- assuming about 45 mpg ... $42.67

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.