Given: f(x) = X-4 X55 find the value of k that will make f continuous on (-0,0) I kx² – 24x + 46 , x>5 A 3 B -4 D. none of the given choices

Q: Find the absolute maximum and minimum, if either exists, for the function below on the given…

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Q: 709. Find the values of a and b so that the function f(r)- rt ar' + br will have a relative extreme…

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Q: The function f(x) = 2x° - 36x + 192x 8 has two critical numbers. %3D The smaller one is x = and the…

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Q: Q#3 Find the absolute maximum and minimum values off on the given closed interval, and state where…

A: Definition used -             Absolute maximum and minimum values of function -              We…

Q: 2. Given the function: f(x) 3 x -3 x≤2 2 x² + 1 x > 2 Is f(x) continuous and differentiable at x=2?

A: Here is the solution:

Q: Given f (x) =r - 4r defined over [1, 3]. Using Secant :method, the first approximated root for f(x)…

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Q: Find the value of x for which the value of the function f(x) = x +3x2 - 2 is minimum? %3D Answer:…

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Q: a. Find the value of (k) that make fhe fimction contimuous at x = 0 3k -3 =0

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Q: [2-x², x20 Given f(x) = , find the value c so that f(x) will be continuous at all values. x<0 x +C

A: Given that: f(x)=2-x2,    x≥0x+c,      x&lt;0   NOTE: As per our answering guidelines, we can only…

Q: For which x value does f (x) = x - 3x2 + 1have a local maximum. CO C-1 C 1 C -2 C 2

A: Given: The function fx=x3-3x2+1, To find: point of Local maximum

Q: A B Graphs A and B are approximate graphs of f and f for f(x) = x² – 8x + 17. So flis increasing…

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Q: 4. Solve for k s.t. the function is continuous 9 – x2 f(x) = x # -3 x +3

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Q: 1) Find the absolute extremum values of f(x) = x? [1, 2]. 2x +24 over the interval %3D -

A: Topic - maxima minima

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: Find all critical values for f(æ) = (x – 4)°(æ – 5)*. %3D - The critical values occur at X = commas)

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Q: 1. Consider finding the root of f(x) =x´ – 5 use secant method, ɛ = 0, and start with the a interval…

A: given , f(x) =x2 - 5  we have to find roots of f(x) in interval by using secant method

Q: Consider the function: f(x) = x2 – 4x + 9 Step 1 of 2: Find all critical points of the function.…

A: Critical point: A critical point of a function is the point x0 in the domain where the function is…

Q: Find k so that f has a relative extremum at the point where x = 7. () = * + k k = i

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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: Given that f(x) = -x +12x – 34 has a relative maximum at x = a. f' is negative on the interval (-…

A: Given query is to find the correct option for the f(x).

Q: The value of k that makes x2 – kx + 2x – 2k f(x) x # -2 x + 2 4, continuous at x = -2 is x = -2 O 2…

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Q: -1 Q4 Let f(x)= x22 Find the value of (k) that makes the function is contimuons at =2.

A: F(x)= x2-1 when x&lt;2

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: 4. Find the values of a and b so the function will have a relative extreme at (3, 1). y3D=x' +ax? +b

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Q: 2) Consider the function g(x) = x³ + 3x? – 9x + 2 on the interval [-4, 2]. Find all local extrema,…

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Q: Find all the critical points of f(x) 3 5x. 0,士V15 There are no critical points. V5 t/15 O +V5

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Q: 1. Given f'(x) = –x² – 2x + 8, state on which intervals f (x) is increasing and decreasing. Identify…

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Q: Find the x-value corresponding to the absolute minimum value of f on the given interval. (If an…

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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 a value of c that makes the following function continuous at x = 0. Explain why the value of c…

A: Given that, f(x)=15x-5sin3x2x3, x≠0c,                          x =0 The function is continuous when…

Q: -2 x< -1 Q1)a) For what values of a and b is g(x) = ах — b -1<x<1, x21 Continuous at x= -1

A: The suitable formula for continious       LEFT HAND LIMIT = RIGHT HAND LIMIT

Q: Q#3 Find the absolute maximum and minimum values off on the given closed interval, and state where…

A: Given: fx=x-2 sin x; -π4&lt;x&lt;π2 For finding the absolute maximum and minimum first find the…

Q: 6x+1 Given f(x) = 4x²+6x+9' 2. Use limits to investigate and then write a/n equation(s) for any…

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Q: 7. Find the absolute maximum and minimum, if either exists, for the function below on the given…

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Q: #30) tind the critical mumbers of the function. f(x)=x² +6x² - 15.

A: Derivative the function and then equate to 0 find the values of x

Q: 5. For the function f(x) = 3x* + 8x3 - 18x? + 5, find the following: a) The critical numbers. b) The…

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Q: Given the function g(x) = 6x° – 27x² – 72x, find the first derivative, g'(x). = (x),6 Notice that…

A: If the second derivative  is positive at the critical number, then the function is said to be…

Q: d) Find the absolute maximum and minimum values of 'fon the given interval (-∞, +0) and state those…

A: Maximum and minimum values of f on the interval

Q: and apply the First Derivative Test to each critical point. Let -64 f(x) = x* + 20x3 + x² – 320x %D…

A: Given,f(x)=44x4+203x3+-642x2-320xf(x)=x4+203x3-32x2-320xdifferentiating both the sides with respect…

Q: Let f(x) = x(1 + e*) -e*. 1) Verify that the function f(x) = 0 has solution in the interval [0,1].…

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: For the function f(x) = -x^3 + 1.5x^2 - 4: a. Find the critical number of the function and…

A: We will use critical points for calculation

Q: For what value of the constant a is the function continuous on (-0, 0). for r 1 f(x) ax a =

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Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax - b - 1<x< 1, 3 x21 Continuous at x=1

A: From  the given problem:   gx=-2x≤-1ax-b-1≤x&lt;13x≥1     As we know that a function f(x) is…

Q: 2x2 - 23x + 63 f(x) = 4x2 - 33x + 35 %3D C, x = 7 What value of C would make f(x) continuous at x =…

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Q: 1) Find the absolute extremum values of f(x) = x2 – 4x + 18 over the interval [1, 4]. [2 marks]

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Q: 3. The horizontal asymptote(s) of f (x) = Vx² – 1- væ² +x.

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Q: The function f(x) = (8x – 1)e® has one critical number. Find it. 4x - x =

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Q: Find the extreme vales of each function on the given interval Then plot the function and identify…

A: (a) The given function is f(x)=23x-5  ,  -2≤x≤3 Differentiating with respect to x  f'(x)=23 Here the…

Q: Given f (x) = x² – 4x + 9 [1,4] find the critical points on the close interval. 68 F Mostly sunny…

A: The given function is:fx=x2-4x+9To find the critical point

Q: 1) Find the absolute extremum values of f(x) = x² – 4x + 8 over the interval [1, 4].

A: f(x) = x2 – 4x + 8