x if x < 0 F(x)=sin(x) if 0 < x≤ 3 1 if 2 < x lim_ f(x) =? lim f(x) =? lim f(x) =? x-1- lim f(x) =? X+1+ lim f(x) =? lim f(x) =? x-2- X-2+

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A: If    limx→cf(x)-f(c)x-c  exists;

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A:

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A:

Q: If  f′(x) < 0 for 1 <x< 6, then f is decrescent over(1,6) True or false and why

A: If  f′(x) &lt; 0 for 1 &lt;x&lt; 6, then f is decrescent over (1,6) True or false and why

Q: Consider the function f(x) = 2,/T +2 on the interval [2, 5]. Find the average or mean slope of the…

A:

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Q: (3-x, xs1 Consider the function given by f (x) = Is the function continuous, %3D x -x+1, x>1…

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Q: Let f be a function defined on [15, 23]. Suppose for every x ≤ (15, 23) d da If f(16) = 44, find the…

A: We  know By definition of derivative  in interval a,b⇒f'x=limx→afx-fax-a

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A: The objective is to find the range of the function.

Q: 1. Solve the DE shown below using Reduction of Order; n = :2 y" - n²y = enx

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Q: 1). Does the left-side limit of the difference quotient of the function g(w)=|w| exist at w=0? If it…

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Q: Let g: RxR → RxR be a function defined by g(x, y) = (x², x-y). Suppose that X = Rx{0} and D= {(a, a)…

A: Bartleby Guideline : ''Since you have posted a question with multiple sub parts , we will provide…

Q: Show that f is linear of slope m if and only iff(x + h) - f(x) = mh (for all x and h)

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Q: A function f has the form f(x) = Aekx. Find f if it is known that f(0) = 140 and f(1) = 266. (Hint:…

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Q: If we need to calculate the derivative of a function at a point, there are two ways we can think…

A: Given: gx=x-x2

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A: Mean value theorem (MVT) If  f(x) is a real valued function in the interval [a,b] which satisfies…