On the interval 2 < x < 4, there is a relative… •maximum •minimum •increasing •decreasing •constant

Q: 2- find the absolute max.and min. of the on the closed triangle function P : x* + y Plate bounded by…

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Q: The absolute minimum value of the function f(x) = 4x2 – 8x + 8 over the interval [0, 5] O 4 O 5 O 6…

A: To find absolute max/min we have to find local max/min in a given interval and also function value…

Q: Given f(x) = ,*, find the critical number(s), the intervals on which the function increases and…

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Q: Find all relative extrema in the function k(x) = (x2 – 4)-2 on the interval [-3, 3].

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Q: Let f(x) = r – a Find all the critical numbers and for each critical number, determine if it is a…

A: If second derivative is negative then maxima and if positive then minima

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

A: We will use the fact that at the point of extrema the derivative of the function is equal to zero. I…

Q: Find the critical points of the function and, from the form of the function, determine whether a…

A: I have given the answer in the next step. Hope you understand that

Q: • f (x) is decreasing at ¤ = -6 f (x) has a local minimum at a = -2 • f (r) has a local maximum at r…

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Q: 6. Find the absolute maximum and absolute minimum of the function f(x)=x´e^ +1 on the…

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Q: x² +9 b) f(x) = [-1.5, 1.5] x +4'

A: The given function is: f(x)=x2+9x+4 ;      x∈-1.5, 1.5

Q: 2. On the interval [0,2], determine the absolute maximum, M, and absolute minimum, m. fx) 4x

A: Given fx=4x1+x2 on 0,2

Q: a. What are the critical points of ƒ? b. On what open intervals is ƒ increasing or decreasing? c. At…

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Q: Let f (x)=x* + 2x³ – 3x² – 4x +4. Find: (a) the critical numbers of ƒ(x); (b) the points at which…

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

A: We need to find absolute max and min value in given interval.

Q: 1. Estimate the absolute minimum and the absolute maximum on the closed interval [0,6]| for the…

A: As per the guidelines we can solve the 1st question only. If you want answer to the other questions…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + 1 / x ,…

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Q: If function f(x) is differentiable on (-5,5), f'(2)=0, and f''(2)=3, then, which of the following…

A: We have to choose the correct answer from the given options according to the given conditions

Q: Let g(x) = xª – 2x2 + 1. (a) Find all critical points of g. (b) Find the absolute maximum and…

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Q: 4. Find the absolute maximum and absolute minimum values of the function on the given closed…

A: We need to find critical points and check value of f(x) at boundary values and critical points to…

Q: f() is decreasing at r = -5 f (z) has a local minimum at z = -2 f(z) has a local maximum at r = 2

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

A: Given f(x) = x/x2+1 , [0, 3] Find the absolute maximum and absolute minimum values of f on the given…

Q: The absolute minimum value of the function f(x) = 6x² – 12x + 7 over the interval [0, 7] O 8 O 8 O 1…

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Q: 2. Given f(x) = a) Find the critical numbers of f in the open interval (0, 2). b) Find the absolute…

A: By using Second Derivative Test find Critical Points and Absolute Extreme Values.

Q: The absolute minimum value of the function f(x) = 1 on the interval [0, 1] is : 2x – 3 Select one: O…

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Q: The function f has a local/ relative minimum value when x= A 2 B) 2 c) none of the given choices E

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Q: Use the graph of f` and f`` to find the critical points and inflection points of f, the intervals on…

A: The graph of f’ and f’’ is given,

Q: Give the intervals of increase and decrease of f(x), give the local minimum values of f(x), and give…

A: Given : The function given is f(x)=x+6x23. Differentiate the function with respect to x.…

Q: The absolute minimum value of the function f(æ) = 7x² – 14x + 6 over the interval [0, 8] O 11 O 6 O…

A: To find the absolute minimum value of  f(x)=7x²-14x+6 on interval [0,8]

Q: If an odd function g(x) has a local minimum value at x = c, can anything be said about the value of…

A: Let g(x) is a odd function i.e. g(-x) = - g(x)

Q: Соpy of The global minimum of f(x) = x³ – 4x over the interval -2< x<3 occurs at what value of x? O…

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Q: Use the graph of f' and f" to find the critical points and inflection points of f, the intervals on…

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Q: Find the minimum value for f(x) =– on - on (0, 2]. А. 2 В. 1 С. D. 2e e

A: Take the derivative of the given function, equate to zero and solve for x. Now put this x value in…

Q: 1. Find the critical number(s), relative maximum, relative minimum, absolute maximum, absolute…

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Q: В f has a relative maximum at x = 1. f has neither a relative minimum nor a relative maximum at x =…

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Q: Find the absolute maximum and absolute minimum values of on the given interval f(x) = x+16/x ,…

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Q: 2. Find the local maximum, minimum values and saddle point(s) of the function, if any. f(х, у) %3D…

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Q: The function f(x)=E(x - k} attains minimum value for x, k=1 then x =

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 6] x2

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Q: Find the absolute maximum and absolute minimumvalues of  f on the given interval.

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Q: 2-b. Use the graph of f' and f" to write out the critical points and inflection points of f, the…

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Q: Find the location of the minimum absolute extremum for the function. O A. x= 3 Af(x) 6- O B. x = -5…

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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: 3. Find the absolute maximum and absolute minimum valves of f on the.given interval. 1 f(x)=x°…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =x/(x2-x+4),…

A: Obtain the first derivative of the given function.

Q: 2. Find the critical numbers, the intervals on which f is increasing and decreasing, and find the…

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Q: Give an example of a graph of a function S, that satisfies all of the conditions below: • Increasing…

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Q: 11. The graph of a twice differentiable function, f(x), with a relative minimum at (–1, –2) is shown…

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Q: Use the graph of ƒ' and ƒ" to find the critical points and inflection points of ƒ, the intervals on…

A: Given: The graph of f'and f''for a function fas   To find: Critical and point of inflection of fand…

Q: 10. The function's value will always be greater than or equal to the local linear approximation of a…

A: The function's value will always be greater than or equal to the local linear approximation of a…

Q: x³ – 4x² (x + 2)² ' x(x +8)(x – 2) (x + 3)ª 8(7x – 4) (x + 2)* Given: f (x) ,with f'(x) = ,and f"(x)…

A: The critical number of a function f is the point where the first derivative of the function is equal…