4. Show whether or not f is bijective. Letf : R → R_be defined as f(x) = I피+1 %3D

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Here we use taylor series to find this.

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A: Cauchy's MVT : If two functions f(x) and g(x) are continues on [a, b] and differentiable on (a, b),…

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Q: Let f(z) = (9 sin z + 2 cosz)tan¹z

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Q: Show that (6.g) = (0,0) is unijomy continuous or not.

A: Uniform continuity

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A:

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A:

Q: 7. Show that the function f : R → R* defined by f(x) is not onto. x2 +1

A:

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Q: Suppose that f(1) = 2, f(4) = 8, f '(1) = 4, f '(4) = 3, and f " is continuous. Find the value of xf…

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Q: let Peas be delimed by Xく2 3-X I5 fixo continuous V= 2 2.

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Q: Let f be in R[a, b]. Prove that -- f is in R[a, b] and ∫a b -- f(x)dx = -- ∫ab f(x)dx.

A:

Q: Show that the space C(R) of all continuous functions defined on the real line is an…

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Q: Let f : [0, ∞) → [0, ∞) be the function defined by f(x) = √x. Show that f is a bijection.

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Q: Use theorem 5.2 to prove directly that the function f(x) = x* is integrable [0, 1]. on

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.