Let x2-2x-3 f(x) = キ3 if For what Values of x is f Contin uo4s? Find the absolate min values of the max anl ab function

Q: 53. Is the function given by Sx + 1, for x << 4, f(x) -x + 7, for x 2 4, continuous at x = 4? Why or…

A: Given a function, f(x)=x2+1,      for x&lt;4-x+7,     for x≥4 To find whether the function is…

Q: 4. Is the function f(x) = (x + 1 ((x-4)² +3 ; x<4 continuous at x = 4? Why or why not? ; X24

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: The function f(x) = 2a – 392? + 240x – 4 has two critical numbers. The smaller one is x = and the…

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Q: Determine the Tntervals Where the function f(x) = 3x4-6x² Is incieasing decleasina or

A: Consider the given function fx=3x4-6x2. The problem requires to determine the intervals in which the…

Q: Verify Rolle's theorem for f(x) = x* – 4x+8 over the interval [0, 2].

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Q: The function f(x) = 2x – 42x + 270x – 2 has two critical nu The smaller one is x = and the larger…

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Q: 4 Determine if f (x) = - 2x if x 1 is differentiable at a = 1.

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Q: IS The function f(x)=\x3 Find The value of K, to continue The Function Con tinuous in intervaln X-2…

A: Answer

Q: 2. Find all values k that make this function continuous at x = 3. Зх — 9 - if x > 3 f(x) = x² – 3x…

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Q: ,x5 (A) 5 (B -4 6 3 (E) none of the given choices

A: Given that, The function f(x) is following, f(x)=x-4,x≤5kx2-24x+46,x&gt;5 We have to find the value…

Q: Does the MVT apply to f(x) =- x²_3x+5 on the interval [-1, 2]? (x-1)

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Q: For what value of k will the function f be continuous on (-∞, 0)? { x2 – 16 if x + -4 f(x) = x + 4 k…

A: We have to find

Q: The derivative of the function f(x) = In 5x is 1 x In 5 Select one: O True O False

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Q: 7. Is the function given by G(x) at x = 2? Why or why not? 1 x² - 6x + 8 continuous

A: Theory : If A function f(x) is continuous at some point a, then it must satisfy All of these…

Q: . Let f(x) = x'6/3 – 19x337. Determine the largest n for which f € C" (n-times continuously…

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Q: Find the point of local externa(i fany) and local externa of the following function each of whose…

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Q: Let f(x)=2x^2-2x+3. Find the x-value(s) where the graph of the function has a horizontal tanger…

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Q: 3x+8x74 F(x)=(7x-K x<4 X=4 11

A: Given f is continuous at x=4

Q: Find value a  such that f(x)={x^2+2x-1 if x not equal to 1…

A: given,f(x)=x2+2x-1  if  x≠1a                if x=1left hand limit at x=1limx→1- f(x)=limx→1-…

Q: 10. Consider the following function. 1 x } x > Find the values of a and b that make f(x)…

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Q: Suppose ff is differentiable on (-\infty,\infty)(−∞,∞), f(3)=12f(3)=12, and f'(3)=-2f′(3)=−2. Use…

A: Given that,  Function f is differentiable on (−∞,∞), f(3)=12, and f'(3)=-2. The linearization of f…

Q: For what value of the constant k is the function f continuous on (-∞, 0)? 5x2 – kx + 7 if x 7 k =

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Q: 3. Determine the x interval(s) on which the function is increasing.

A: From the given Figure, it is observed that the graph of function has local maximum at x=-4  and…

Q: Find number k so that f(z) = 10x + 8 x -1 is continuous on (-0,0). O -2 4 -4

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Q: 2) An elastic tire is described by the iven by the function f(x, y) = 4xy. Use

A: Introduction: The Lagrange methodology is employed to maximize or minimize a general performance…

Q: ,for x 1 Discuss the contuniuty of f andf'.

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Q: if f(x)=x-sin(x),, Use false position method to approximate x2 starting from the initial values…

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Q: If we apply Rolle's Theorem to the function f(x) = 2x - 4x- 10 on the interval– 1, 3, how many…

A: Given function is  f(x)=2x2−4x−10 To apply Roll's theorem on the above function on the given…

Q: Find the maximum value of x if f(x)=5 sin x – Using Quadratic Interpolation with a relative error of…

A: Given: If f(x)=5sin x-x610, find the largest value of x. Using Quadratic Interpolation with a 1%…

Q: If f(x) = 3Va In(x), find f'(x). 3 In(z) Find f'(3).

A: topic - derivatives

Q: Find f'(1) for f(x) = In(v6x – 3).

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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: Use the linear approximation (1 + x)k = 1 + kx to find anapproximation for the function ƒ(x) for…

A: It is known by linear approximation that 1+xk=1+kx for the values of x near 0. The given function is…

Q: Find the function g such that fog = In (2x° +7) if f(x) = In x g(x) = %3D

A: Find the function g such that  f(g(x))= ln(2x3+7) and f(x) = ln(x) .

Q: Find a value of the constant k, if possible, that will make the function continuous everywhere. (kx…

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Q: Find the absolute max/min values of f(x) = 3x2 – 12r +5 on the closed interval [0, 3].

A: This question is based on maxima and minima in a closed interval.

Q: 18. Consider the function f (x) 5e2r. On what interval(s) is f (x) %3D increasing? On what…

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Q: [1, 2). over Calculate M6 for f(x) = 3 · In(x³) M6

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Q: Consider the function f(x) = -2x² + 8x – 9. f(x) is increasing on the interval (-o, A] and…

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Q: 7. Find the c value(s) that satisfy Rolle's Theorem for the function f (x) = x* – 4x² on the…

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Q: If F(X) is an antiderivative of *-2 + x-', then what is the value of F(1) - F(-1)?

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Q: Find the values of m and n that make f(x) continuous over (-∞, ∞): f(x) = m= n= 4 x-2 mx² - nx 2x -…

A: Topic- Limits and continuity

Q: Let g(x)=V 64x2 - 4 The function g is increasing on the following interval(s): O (-∞, 0)

A: Solution: The objective is to determine the intervals where the given function is decreasing and…

Q: х — 1 - 2. For f(X) calculate f-'(8) = ? %3D х — 3 -

A: Given : f(x) = (x - 1)/(x - 3), we want to find the function f-1 that takes the value y as an input…

Q: 6. Is the function given by F(x) = at x = 4? Why or why not? 1 x² - 7x + 10 continuous

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