Let f :  ( alpha, beta ) --> R be monotonic increasing. Show that all discontinuities of f if any, are of Type I.

Q: \S(cos x)dx = 0 %3D

A: Let us consider f is continuous even function. Let f=x2 So, fcosx=cosx2=cos2x…

Q: Let f:R-->R and suppose that |f(x)-f(y)| less than or equal to |x-y|^a for some a>1. Show that f…

A: Let f:R-->R and suppose that |f(x)-f(y)| less than or equal to |x-y|^a for some a>1. Show that…

Q: f(x) = -7x + 6 x² +6 if x < 0 if x 20

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Q: x+5 4. f(x) = %3D x2-5x+4

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Q: What is an example of a function f : [-2, 2]-->R which is not differentiable at -1 but which is…

A: To find an example of a function                                   f : [-2, 2]→R which is not…

Q: If f is a function that is continuous on the open interval (1, 4), then f is continuous at x = 3.…

A: Given: If f is a function that is continuous on the open interval (1,4), then f is continuous at…

Q: Determine whether each of these functions from Z to Z is one-to-one. a) f(n)=n−1 b)  f(n)…

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Q: d dx y' z' y" z"

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Q: Determine whether f is continuous at a = -1.

A: Given- fx=x2-1x+1   if x≠-16           if  x=1 To find- whether f is continuous at x=-1 or not.…

Q: Let X=[-1,1] and Y=[0,1], and define the function f:X-->Y by f(x)=x^2. Which of the following is NOT…

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Q: Show that the function given below is continuous. 4v2 - 16v lim -2 v-4

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Q: Let f be a function defined on [11, 25]. Suppose for every x = (11, 25) d. dx -f(x) = 0. If f(12) =…

A: Given query is to find the value o f(24).

Q: x = 0 f(x) sin z x +0 а) х — 0. ? b) х — 4т. ?

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Q: Let f(x) = x-*,x > 0. Find the interval on which f is increasing or decreasing and find the local…

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Q: 호호 -^ z-vz44 Z

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Q: Which derivative of f tells us whether the function is increasing or decreasing?What do we check to…

A: Given function ,  f(x) = ln ( x2 + 2x + 5)  Find interval of increasing and decreasing .

Q: Which . functions are continuous through its domain?

A: Continuous Function: A function fx is continuous at a point c of its domain if  limx→cfx=fc A…

Q: a. f(x) x-2 x-7 b.f(x) = r2+1

A: (a) the given function is f(x)=1x-2 the function is continuous in interval [a,b] if it is continuous…

Q: Show that the function f defined by 1. (x, y) = (1, –1) f (x, y) : x² + y .2 (x, y) + (1, –1) x + Y…

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