The graph of a continuous function f is shown in the figure below. Arrange the following quantities from smallest to largest. 100- f(x) M. 0 1 1 [²f(x) dx I 6 II f(x) 0 dx III 1 [² VFX) dx √f(x) IV [ ²2 (F(x))² dx 2 ---Select--- < ---Select--- <---Select---<---Select---

Q: Find S f(x)dx if f(x) = [2 for x<2 [x for xz2

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Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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

A: f(x)=-4xx2+4

Q: -2 Find the interval(s) where f(x) =- 64-x2 is continuous.

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Q: Consider the following. ex if x < 0 f(x) = x+1 if x 2 0 (a) Determine whether the function is…

A: Part (a) For the function to be continuous at x = 0, we should have Left hand limit (LHL) = f(0) =…

Q: (2ax + 4,x < 2 g(x) = 110, 7. Find the value of “a" if gx) is continuous for all 2 < x real numbers.

A: g(x)is  continues for all real numbers

Q: Is the function below continuous at x = -5? f(x)=x3−2x2+5x+1

A: We are to simplify

Q: A graph of function f(x) on the interval [-1, 4] is shown. Regions A, B, and C have areas of 1, 2,…

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Q: 6. Is the function given by f(x) (x + 4, for x < 3 2x - 1, for x ≥ 3 Continuous at x = 3? Why or why…

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Q: -kx + 1, x>4 a) Find the value k, if the function f (x) = (x² – 3x + 1, x 4

A: Given, fx = x2-3x+1,    x≤4-kx+1,         x &gt;4   We have to find the value of k for which the…

Q: Sketch the graph of f(x)= 1/3x-x-3x+4 showing all the points of inflection, local max. and local…

A: It is defined that the inflection points are those points at which the rate of change of slope…

Q: 13. Consider the function 2x x 0 (a) Sketch a graph of the function. (b) What is f(-1)?

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Q: @ New fumction from old function:- Using the above function (y = [x]) to sketch the following…

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Q: Step 2: The function f(x) needs to be continuous at the left endpoint [-1]. 3 a. Evaluate the…

A: A function f(x) is continuous at the left end point of an interval [a, b] if  fa=limx→a+ fx