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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 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
Estimate the volume in math mean?
it means to guess the area of a 3D solid without actually working it out. you can guess by looking at some of the measurements given.
What are a score or more facts about the usage of x in mathematics?
1 It can be the mark of an incorrect answer
2 It can indicate multiplication
3 It can represent an unknown variable in an equation
4 It is 10 as a Roman numeral
5 It can be doubled to XX for 20 in Roman numerals
6 It can be trebled to XXX for 30 in Roman numerals
7 It's expressed as x2 for x*x
8 It's expressed as x3 for x*x*x
9 It's expressed as 2x for x+x
10 It's expressed as 3x for x+x+x
11 It represents the slope of a straight line equation
12 It's the horizontal axis on the Cartesian plane
13 It and the the y axis are perpendicular to each other on the Cartesian plane
14 It has lines of symmetry
15 It has rotational symmetry
16 It will tessellate
17 It's (X) for 10,000 in Roman numerals
18 It forms the diagonals within a square
19 It can fit exactly within a circle
20 It creates equal vertical opposite angles
21 Its best friend is y because they always play a double act
22 It marks the spot of the hidden treasure on a map
What is the least common multiple of 16 and 160?
Since 160 is a multiple of 16, it is automatically the LCM of this problem.
What prime numbers can you use to get a total of 2625?
They are 3, 5 and 7: 3 x 5 x 5 x 5 x 7 = 2,621
When you use cross product and dot product in vector?
Dot product and cross product are used in many cases in physics. Here are some examples:
- Work is sometimes defined as force times distance. However, if the force is not applied in the direction of the movement, the dot product should be used. Note that here - as well as in other cases where the dot product is used - the product is greatest when the angle is zero; also, the result is a scalar, not a vector.
- The cross product is used to define torque (distance from the axis of rotation, times force). In this case, the product is greatest when the two vectors are at right angles. Also - as in any cross product - the result is also a vector.
- Several interactions between electricity and magnetism are defined as cross products.
How do you prove Fatou's Lemma?
The well-written proof can be found in the Wikipedia article, which can be located in a link below.
Assuming that "prasentig" is your attempt at spelling percentage, the answer is 1/5 = 20%.
Is there a concept in mathematics that is impossible to prove a thing does not exist?
There is no such concept because it is not true. There are many mathematical proofs based on proving the non-existence of a thing.
The following example should demonstrate.
I want to prove that the biggest number does not exist.
Let us suppose it does exist, and let us call it B (for biggest).
But then consider B + 1.
B + 1 is bigger than B (this can be proved as well).
So B cannot be the biggest number.
That is, there is no such number B. In other words, the biggest number does not exist.
Given any two groups there will usually be random variations in their scores. A proper statistical test is designed to assess whether the observed difference is likely to be a result of such random variation or if it due to a genuine - reliable - difference between the groups.
How do you work the problem 15-6t equals 11t?
Form the equation: 15-6t = 11t.
Add 6t to both sides of the equation to obtain:
15 = 17t or 17t = 15.
Divide both sides of the equation by 17 to obtain:
t = 15/17.
