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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Let f be a bounded measurable function assume that there exist constants co and 01 such that 0mxRfxc show that f is integrable over R?
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Related questions

Are continuous functions integrable?

yes, every continuous function is integrable.


Every continuous function is integrible but converse is not true every integrable function is not continuous?

That's true. If a function is continuous, it's (Riemman) integrable, but the converse is not true.


Is the greatest integer function x integrable over the real line?

yes


Is a constant function on a measurable set is measurable?

Yes.


If constant function is measurable then is it necessary that domain is measurable?

yes.since this functin is simple .and evry simple function is measurable if and ond only if its domain (in this question one set) is measurable.


Can you Give an example of bounded function which is not Riemann integrable?

Yes. A well-known example is the function defined as: f(x) = * 1, if x is rational * 0, if x is irrational Since this function has infinitely many discontinuities in any interval (it is discontinuous in any point), it doesn't fulfill the conditions for a Riemann-integrable function. Please note that this function IS Lebesgue-integrable. Its Lebesgue-integral over the interval [0, 1], or in fact over any finite interval, is zero.


What function is integrable but not continuous?

A function may have a finite number of discontinuities and still be integrable according to Riemann (i.e., the Riemann integral exists); it may even have a countable infinite number of discontinuities and still be integrable according to Lebesgue. Any function with a finite amount of discontinuities (that satisfies other requirements, such as being bounded) can serve as an example; an example of a specific function would be the function defined as: f(x) = 1, for x < 10 f(x) = 2, otherwise


B.Sc maths final year question papers?

Every monotonic function f is R-integrable.


Let f be an odd function with antiderivative F. Prove that F is an even function. Note we do not assume that f is continuous or even integrable.?

An antiderivative, F, is normally defined as the indefinite integral of a function f. F is differentiable and its derivative is f.If you do not assume that f is continuous or even integrable, then your definition of antiderivative is required.


What are functions in c language?

constants, MAX_(function), etc.


What is a linear function?

A function of the form f(x) = mx + c where m and c are constants is linear.


What is an example of a simple borel measurable function?

Characteristic function of any borel set is an example of simple Borel function


What is exponential function?

"The" exponential function is ex. A more general exponential function is any function of the form AeBx, for any non-xero constants "A" and "B". Alternately, Any function of the form CDx (for constants "C" and "D") would also be considered an exponential function. You can change from one form to the other.


How can you tell if a function is linear or non linear?

If it can be written in the form y = mx + c where m and c are constants [or, equivalently, ax + by = k where a, b and k are constants] then y is a linear function of x.


What are the values that are used in a function?

There are several possibilities. They can be called arguments and there are two kinds, variables and constants. Variables can have different values and constants are always the same.


How are constants in math used in real life?

The constants effect the shifts being vertical. EX. y=x+1 Normally the function would be y=x, but the (+1) Shifts the function up 1


What are values that are used with a function in Excel?

Question: What are values that are used with a function in Excel? Answer: Arguments There are several possibilities. They can be called arguments and there are two kinds, variables and constants. Variables can have different values and constants are always the same.


How do you determine that a function is quadratic function?

It can be written in the form y = ax2 + bx + c where a, b and c are constants and a ≠ 0


Why wev use of stdioh in c?

Cos it contains useful function-declarations, constants, types.


Is greatest integer value integrable?

No, because there is no greatest integer.


Do all functions have integrals?

No, all functions are not Riemann integrable


Explain different types of constants?

Integer constants Character constants Real/floating point constants String constants


What is A linear function that uses one of these four symbols?

A linear function is one of the form f(x) = a*x + b where a and b are constants.


What is a standard form of a quadratic function?

ax2 + bx + c = 0 where a, b and c are constants and a is not 0.


Any measurable function can be approximated by simple function?

Yes. For every measurable function, f there's a sequence of simple functions Fn that converge to f m-a.e (wich means for each e>0, there's X' such that Fn|x' -->f|x' and m(X\X')<e).