Let f (x) = }8 – §8 – x – x² if x< 5 2x - 32 if x > 5

Q: Verify that the Mean Value Theorem applies to the function f(x) = √25-x2 on the interval [-3, 4] and…

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Q: (b) Verify Mean Value Theorem for f(x)= 3x2-6x -5 over the interval[-1,4].

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Q: 13. Find the end behavior for f(x) =x- 2 A. x- +0, f(x) - +o x--o, f(x) → - B. x +o, f(x) - +0 x--o,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find f. f"(x) = x-2, x > 0, f(1) = 0, f(4) = 0 (x) = -In(x)+ (In(4))x – In(4)

A: Given

Q: Find the critical numbers of f(x) = x 3/5  (4 -x )

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Q: 20. Suppose that f(x) is continuous and differentiable on the interval [-3,0], that f(-3) = -7 and…

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Q: 5. Let f(x) = x-3x73. Use calculus to determine the critical numbers for the function.

A: Consider the  provided function, fx=x-3x23 Find the critical point of the critical point. Find the…

Q: 4 if x3 to define f at x = -2 in such a way that f becomes continuous nossible what ie the velue of…

A: We have to find the following conditions according to the given information

Q: Suppose we know that f(x) is continuous and differentiable on the interval [-8, 0], that f(-8) = -9,…

A: Given data: The value of function is, f(-8)=-9 The value of differentiating function  f(x)≤2

Q: 4 ,5 Let f(x) = 7x* In(x) f'(x)

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Q: 9) State the intervals of increasing and decreasing behavior in the function k(x) = x2 In x?.

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Q: [1, 5] th- or f(x) is

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Q: _25. Determine if f (x) = {"" (2x – 1 if x 5 is continuous on [2,5]. A. discontinuous on an…

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Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x < 2 X - 2 f(x) = if 2 < x…

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Q: 6. Let (1- x2, if x 1 Find f (-1)

A: 6.  Given that , f(x) = 1-x2    ; if x≤12x+1   if x&gt;1we have to find f(-1)

Q: if x = 0 11. f(x) = x - 1 if 0 < x < 1 In x if x = 1 et

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1 If f(x,y,z)= of then x-y-3-

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Q: f continuous everywhere. f(x) =   x2-4/x-2      if x < 2

A: Given fx=x2-4x-1if x&lt;2ax2-bx+3if 2≤x&lt;32x-a+bif x≥3 fx is continuous everywhere. Aim: Find…

Q: prove using the IVT. √2 exists. Hint: Consider f (x) = x2.

A: we have to show √2 exists. Now let

Q: Verify Mean Value Theorem for the function 3x² – 4x + 5 in [-1,1]

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Q: 21. Discuss the continuity of: for for 0sx 2

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Q: 6. Verify Mean Value Theorem for the function f(x) = 3x² -4x +5 in [-1,1].

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Q: 1. Find the number c which satisfies the conclusion of the Mean Value Theorem for the function f (x)…

A: To find the number c which satisfied the conclusion of the Mean Value Theorem for the given…

Q: how many critical numbers does the funtion f ( x ) = | x 2 − 5 | have?

A: The graph of the function given below.

Q: Show that x + is increasing on [1, 0).

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Q: Suppose that f(x) = βx2-3     if x≤2                                   βx+2       if x &gt; 2…

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Q: 29- For uhat values of a and b is ax+2b x+3a-b くXS2 3X-5 Continuous at every X

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: 4. Differentiate the function. (1) f(x)= in x (2) f(x)= In{x (3) f(x)= In- 2x²(x+2)³ (3x- 2) (4)…

A: HI there, At a time we can answer only one question. So, I have answered first question.

Q: (b) Verify mean value theorem for f(x)=x² - 5x+6 over the interval [1,3].

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Q: Verify that the function f(x)= x-3x+2 satisfies the hypotheses of the Mean Value Theorem 6. on the…

A: Known fact:

Q: It is fact that the Mean Value Theorem (MVT) can be applied to the function f(x) = x2 + 2x -9 on the…

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Q: 4. Verify Rolle's Theorem for f(x) = x² - 2x +1 on [-1,3]

A: Given the function f(x)=x2−2x+1 On the interval [−1,3]

Q: What are the critical numbers of f(x) = (x-1)/(x^2−x+1)

A: To find the critical number, find the derivative of the function and make it equal to zero. The…

Q: 1 Express the domain of f(x) using interval notation. Use oo for oo and use U to combine 2 - 2 – 3x…

A: We have to find the domain of the given function.

Q: 24. Is the function continuous on the interval (-5, 5] ? 3х-1 f(x) = x-4

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Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

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Q: Verify mean value theorem for ƒ(x)=x' – 5x+6 over the interval [1,3].

A: Please refer to the image below

Q: Find all numbers, c, that satisfies the Mean Value Theorem for f(x) = x3on [1, 4].

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Q: 6. Let f(x) = V2x + 1, find as Ax - Ax

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Q: 3x -. Select all that apply. x² – 1 Determine all the critical numbers of f(x) =

A: We need to find the critical number of f(x)=3xx2-1

Q: 4. "The function f(x)= x-1 is continuous on(-0,0)". Is the statement true or false? If it is false,…

A: f(x) is continuous at x = a if L.H.L = R.H.L. = f(a).

Q: Find f"(x) if f (x)=√√5 - 4x. Show work:

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Q: 1- f(x) = x³. ammmed

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 29 - For uhat values of a and b is ax+2b x+3a- b くXS2 3X-5 Continuous at every X ?

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Q: Show that cosh x> 1 + x² for all x.

A: comparison