Exercise 6: For the following function f, find all values of A ER such that f is continuous everywhere. A2x2 x <2 f (x) (1 A)a, x> 2

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Q: Exercise 7: For the following function g, find all pairs of values A, B ER such that g is continuous…

A: for continuous of the function at a given point.

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Q: f(x) = x² 8 x + 2 x - 6

A: f(x)=x+2x2−x−6

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A: We know that a function fx is continuous at x=a if: limx→a-fx=limx→a+fx=fa Removal discontinuity…

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Q: (c) Evaluate the Riemann integral ₁¹(x) dx by using definition with the parti- tion 2n=1,2}, n+1 =…

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Q: f(x) = {*- Įx² +px + 2,x # 3 3, x = 3

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Q: let F be the function from R to R defined by: f(x) =x². Find f–¹({1})

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Q: Let f(x) = x³ – 6, – 3 < x < - 1 The domain of f- is the interval [A, B 1 where A and B = %3D

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Q: Determine the values of m and b such that function g is continuous at every real number: if r 1.

A: Since the function g is continuous.So, limx→1-g(x)=g(1)limx→1-x2-mx=-212-m(1)=-2m=1+2m=3

Q: Let f : R → R be defined as                   f(x) = 10x + 7. Find the function            g : R → R…

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Q: Evaluate the Riemann integral f'(x) dx by using definition with the tion = {₁,"+11/ n Pn= i=1 n+1…

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Q: Let f be a continuous function and a < b. Show that: b -a f(-x)dx = | f(x)dx a -b

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