6x -4, xS 5 -kx + 6, If the function f (x) = is continuous at r = 5, then the value of k is --- -- x>5

Q: 1.) Determine the largest interval over which the function flx) = \x+3 is continuous. 2x 2.)…

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Q: Suppose f(x) = x° + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in…

A: Please see the below picture for detailed solution.

Q: 15. Find the end behavior for f(x) = lx - 2| +3 16. Find the end behavior for f(x) = -x' + 5x - 3 A.…

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Q: f(x) = x^2/3 show that there is no number c in interval (-1,8) that satisfies f’(c)=…

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Q: Determine the value of the constant a for which the function f(x) is continuous at -4. x + 7x + 12 x…

A: Given function is fx=x2+7x+12x+4 if x≠-4a                  if x=-4 We have to find the value of a.…

Q: 3. Find the absolute maximum and absolute minimum values of f on the given interval. a. f(x) = 12 +…

A: This question is related to maxima and minima of functions, We will solve it using differentiation.

Q: (2x+1 x² +2 x> h) Xsh Q3) If the function f(x) %3D having limit at x h. Find the value of h.

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = (x2 - 1)3…

A: Here we will find the value of the function at all the critical points and the ends of the interval…

Q: Find numbers a and b so that f is continuous at every point.

A: Given,

Q: Suppose f(x) = =°+ 3z + 1. In this problem, we will show that f has exactly one root (or zero) in…

A: (A)

Q: Xs-1 Let f(x) = {[x+1]-[1-x). -1<x<1 x21 1x|x- where [] denotes the greatest integer function, then…

A: Introduction :

Q: |(2) = { = 1 points are the functions continuous? 3x-5 , ifx 1 .ifx 1 1. 2 2. h(x)

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Q: 2. f(x) = is a continuous function but it is discontinuous at x = 3. Explain why X - 3 this is not a…

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Q: The function f has a continuous second derivative, and it satisfies f(-6) = -1, f'(-6) = 0 and…

A: Maxima minima problem....

Q: If f(x) is an even function defined on the interval [-5,5], Then find - X+1 the real values of x…

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Q: 4. Find the absolute maximum and absolute minimum values of f on the given interval and state where…

A: Given function is f(x) x3-3x2-9x +25 To find absolute minimum and asbsolute maximum over the…

Q: Find the intervals in which the function f(x)=-2x - 5x* +15 is increasing/decreasing. Also find the…

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: 6. Find the absolute extrema of the function on the closed interval given: f(x) = 2x/2 – x; [ –2,1]

A: Pue derivative zero, if value lie in interval then put in function for maxima and minima

Q: 2x 10) Consider f(x) = 3-4 on the interval [2,6. Find the maximum and minimum values of f(x on the…

A: The given function is,

Q: Find the x -values corresponding to all critical points of the function f(x)=x5-a4x , where a is…

A: Critical points of a function are the points where the derivative of the function is zero.   f(x) =…

Q: Find numbers a and b, so that f is continuous at every point.  f(x)= 20 , x-1

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Q: 6. Show that the equation 5 = x* has at least one real root. You may assume that the functions 5 and…

A: Roots of the equation

Q: Determine the value of the constant a for which the function f(x) is continuous at - 3. x2 +8x + 15…

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Q: x3 – 7x2 + 5x + 7 = 0, (-1, 1) Let f(x) = x3 - 7x2 + 5x + 7. f(x) is ---Select--- f(-1) = on the…

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Q: According to the function Vx + 2 shown, which statement provides a true conclusion? -1.6 08 0 0.8…

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Q: 19 – x² ; if x 3 continuous or not on the interval [0, 3].

A: Given function: fx=9-x2;if x≤3x-3;if x&gt;3 The objective is to determine if the function is…

Q: 1. Find all local max/local min values of f(r) = x² – 6x – 1

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: 3. Find the intervals of increasing/decreasing of the function -4x' +16x² – 20.Also find the local…

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Q: The function f(x) = 3 x4-4 x3-12 x2 +1, is decreasing on the interval OA (-00,-2)U(0,2) OB…

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Q: For what intervals is f(x) = x* – 8z² +3 decreasing? O The graph is decreasing on the interval (0,…

A: givenf(x)=x4-8x2+3f'(x)=4x3-16xf'(x)=4x(x2-4)so critical points will be -2,0 and 2

Q: The critical points for the .function f (x) = 6æ° + 33a* – 30x + 100 X=-5, x-0, x=3/5 x=5, x=0,…

A: f(x)=6x5+33x4-30x3+100

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x3 - 6x2 +…

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Q: 4. Find the absolute max and min of f(r) = 2+5x - x* on the interval [0, 4 ]

A: Calculate the value of function at local extremum point and end points of interval.

Q: 1. Find absolute extreme values of the function on the given interval. Ax) = x - óx2 + 9x + 1, [2,…

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Q: Determine the value of the constant a for which the function f(x) is continuous at - 3. x2 + 8x + 15…

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Q: 2. Find the absolute maximum and absolute minimum values of function on the given interval. f(x) = 5…

A: Given:Given that function f(x)=5+54x-2x3The given interval is [0,4]To find:we have to…

Q: Find the x -values corresponding to all critical points of the function f(x)=x2-2ln(x²+1) . Enter…

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Q: Determine any critical point(s) for the function f(x)=  -3 / x2 - 9

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Q: 12) Find the coordinates of the absolute maximum and absolute minimum of f(x) = x^3 + 3x^2 - 9x +3…

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Q: [6 – 2x, \x² - 8, xS 3 x > 3 f(x) Where are the intervals where the function is continuous? Are…

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Q: 2. Find the absolute max and min of the function f(x) = x° (x-4)² on the interval -1,5] using the…

A: The given function: f(x)=x45(x-4)2 The interval is [-1,5] To find the absolute maximum and minimum…

Q: 1) Find the absolute maximum and absolute minimum for f(x) = x-3x-2 on the closed interval [-2, 11.

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Q: Suppose f(x) = x° + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in…

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Q: (3) Find the absolute extrema of the function on the specified interval: f(x)=x² +3x² +1,[-1, 4)

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Q: f f (x) has a local maximum, but no absolute maximum, in the interval [-5,5], then f (x) cannot be…

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Q: 4 3 Find the maximum and minimum values of f(x) = x* + x° – 2 on the interval [- 2, 2].

A: Given that f(x)= x4 + x3 -2 and we find maximum and minimum value in the interval [-2,2]. Here i…

Q: 2х-3 Find the interval of f (x) = 5-4х that will make the function continuous

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Q: 6x + 7, on the Find all absolute and relative extreme values of the function f(x) interval [1, 4].…

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Q: Show that the function f(x) = |x-3| is not differentiable at x = 3.

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Q: 7. Find the absolute maximum and absolute minimum values of f(x)=2x-322/3 on the interval (-1,2]).

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.