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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 answer for finding slope of -2x -5y equals 10?
It is difficult to be sure because the browser used for posting questions is lousy: it strips out most mathematical symbols. Assuming that the x and y terms are both negative, the answer is -0.4
The answer will depend on the nature of the differential equation.
How can servant leadership transform boards and be a transformational force in society?
Servant leadership can transform boards by fostering a culture of collaboration, empathy, and accountability, leading to more effective decision-making and enhanced stakeholder engagement. By prioritizing the needs of others, servant leaders can inspire trust and commitment among board members and organizational staff, promoting a shared vision. This approach can ripple out into society, encouraging ethical practices and social responsibility, ultimately driving positive change in communities and enhancing overall organizational impact. Through servant leadership, boards can become catalysts for innovation and inclusivity, transforming their organizations and the broader society they serve.
How do you write 5.165 times 10 to the ninth power in standard form?
5.165 x 10^9 is already in standard form, because 5.165 is between 1 and 10. In non-standard form the number would be 5 165 000 000.
What is the original sequence for 15 25 10?
There are infinitely polynomials of order 3 that will give these as the first three numbers and any one of these could be "the" rule. There are also non-polynomial solutions. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one.
Here, the simplest solution, based on a polynomial of order 2, is
t(n) = 2.5* (-5*n^2 + 19*n - 8) for n = 1, 2, 3, ...
What is the relation of the exponent rule and the power rule?
The exponent "product rule" tells us that, when multiplying two powers that The Product Rule is that when you have the same base, you can add the exponents.
The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.
The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56.
What is the dot product of a dot of b when a equals 7i-4j and b equals 4i 3j?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus" etc.
b is not properly defined.
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus" etc.
b is not properly defined.
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus" etc.
b is not properly defined.
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus" etc.
b is not properly defined.
How many Euros are there in 50 Canadian?
At the mid-market rate at approx 17:00 on 2 September 2014, CAD 50 = EUR 34.87
How can 0D and 1D be possible?
The alphabets stand for numbers in different bases. For example, 10 in base 12 would be A, 11 in base 12 would be B, and 12 in base 12 would be 10, and so on. 0D=D which is 13 in base 10, and 1D can be in many different bases.
Why a Sierpinski space is not obtainable from a pseudometric?
A pseudometric is a symmetric function: if ρ is a pseudometric on a set X, then ρ(x,y)=ρ(y,x) for all x,y∈X. This means that if τ is the topology on X generated by ρ, and x,y∈X, then
x∈clτ{y} if and only if y∈clτ{x}.This is not the case with the Sierpiński space, however: in that we have 0∈clτ{1}, not 1∉clτ{0}. Thus, the Sierpiński topology on {0,1} cannot be generated by a pseudometric.
How do you get scale interval?
It depends on what you mean by scale. In music, for instance, each half step is related to the prior note by the twelfth root of 2.
V: total volume of tomato paste
Vt : tomato in this volume
First tomato paste is 38% then Vt=0.38 x V
We want the tomato volume to be the same but the total volume to change so that to obtain 28%
Vt = 0.28 x V'
So we have 0.38 x V = 0.28 x V' thus V'/V = 0.38 / 0.28 = 19/14 = 1.357
So the volume of water to be added is about 35.7% of the total volume at the beginning
